PROJECTION OF SECTIONED SOLIDS AND
DEVELOPMENT OF SURFACES

BASICS OF SECTION OF SOLIDS

  1. 1.To understand some of the hidden
    geometry of components an imaginary plane
    is used to cut the object which is called

    a) auxiliary plane
    b) picture plane
    c) section plane
    d) additional plane
    Answer: c
    Explanation:
    To understand some of the hidden geometry of components an imaginary plane is used to cut the object which is called section plane or cutting plane. The new imaginary face generated on the object iscalled the section.
  1. 2.Which of the following is not the purpose
    of using cutting (section) plane?

    a) Interpretation of object
    b) Visualizing of object
    c) Cutting the objects
    d) Invisible features
    Answer: c
    Explanation:
    Section plane or cutting plane
    is an imaginary plane which is used to cut the
    object to visualize the geometry which is
    hidden inside the object and interpret it which
    plays an important role in designing many
    machine parts.
  1. 3.To find the true shape of the section, it
    must be projected on a plane parallel to the

a) Profile plane
b) Vertical plane
c) Auxiliary plane
d) Section plane
Answer: d
Explanation:
As we know true shape and
size is obtained only when an object is
projected on to the plane parallel to it.
Likewise, as section always be plane surface
to know its true shape it should be project

  1. 4.The type of line used to represent the
    cutting plane in drawing is.

Answer: c
Explanation:
Continuous thick line is used for visible out-lines, dashed lines are used for line showing permissible surface treatment, long-dashed dotted lines are used for indication of surfaces for which a special requirement applies.

line showing permissible surface treatment,
long-dashed dotted lines are used for
indication of surfaces for which a special
requirement applies.

  1. 5.A section plane is parallel to V.P the top
    view gives which is
    to xy line.

    a) true shape, parallel
    b) straight line, parallel
    c) straight line, perpendicular
    d) true shape, perpendicular
    Answer: b
    Explanation:
    The projection of section plane
    on the plane to which it is perpendicular gives
    a straight line which is parallel,
    perpendicular, inclined as due to section if it
    is parallel, perpendicular, inclined to
    reference planes.
  2. 6.The projection of a section plane, on the
    plane to which it is perpendicular is a straight
    line.

    a) True
    b) False
    Answer: a
    Explanation:
    The projection of a section
    plane, on the plane to which it is
    perpendicular is a straight line. The projection
    of a section on the reference plane to which
    the section plane is perpendicular will be a
    straight line coinciding with the trace of the
    section plane of it.
  3. 7.The projection of section surface on the
    other plane to which it is inclined is called
    auxiliary section.

    a) True
    b) False
    Answer: b
    Explanation:
    No it is not auxiliary plane but
    apparent section. This is obtained by
    projecting on the other plane, the points at
    which the trace of the section plane intersects
    the edges of the solid and drawing lines
    joining these points in proper sequence.
  4. 8.The section plane is perpendicular to H.P
    and inclined to V.P the front view of section if
    section is a line. It xy line.

    a) is perpendicular to
    b) is parallel to
    c) is inclined to V.P
    d) crosses
    Answer: b
    Explanation:
    The projection of section plane
    on the plane to which it is perpendicular gives
    a straight line. It is given the section is line
    and also from front view the section lies
    parallel to xy reference line.
  5. 9.The section plane is perpendicular to H.P
    and inclined to V.P the top view of section if
    section is a line. It xy
    line.
    a) is perpendicular to
    b) is parallel to
    c) is inclined to V.P
    d) crosses
    Answer: c
    Explanation:
    The projection of section plane
    on the plane to which it is perpendicular gives
    a straight line. Here it is given section plane is
    inclined with V.P so top view gives a line
    inclined to xy reference line.
  6. 10.A section is perpendicular to both the
    reference planes the true shape and size is
    obtained by taking projection of section on to
    plane.

    a) horizontal
    b) vertical
    c) profile
    d) auxiliary
    Answer: c
    Explanation:
    Given the section is perpendicular to both horizontal and vertical plane that is it is parallel to profile plane which is otherwise called as picture plane. Always remember the true shape and size will be trace if projections are drawn on to the plane parallel to section plane.
  1. 11.A section is parallel to horizontal plane
    the true shape and size is obtained by taking
    projection of section on to plane.

    a) horizontal
    b) vertical
    c) profile
    d) auxiliary
    Answer: a
    Explanation:
    Always remember the true
    shape and size will be trace if projections are
    drawn on to the plane parallel to section
    plane. So here as the section is parallel to
    horizontal plane the projection is to be taken
    on horizontal plane.
  2. 12.A section is parallel to vertical plane the
    true shape and size is obtained by taking
    projection of section on to plane.

    a) horizontal
    b) vertical
    c) profile
    d) auxiliary
    Answer: b
    Explanation: Always remember the true
    shape and size will be trace if projections are
    drawn on to the plane parallel to section
    plane. So here as the section is parallel to a
    vertical plane the projection is to be taken on
    vertical plane.

SECTIONS OF PRISMS

  1. 1.A regular triangular prism is resting on H.P
    and section plane is parallel to H.P and
    cutting the prism the section would be a

    a) triangle
    b) rectangle
    c) trapezium
    d) parallelogram
    Answer: b
    Explanation:
    Prisms are obtained by
    extruding required shape up to some
    appreciable length so there exist same cross-section along the length perpendicular to axis.
    If the cutting plane parallel to axis we get
    rectangle.
  2. 2.A cube is rested on H.P on one of its base
    such that base’s diagonal is perpendicular to
    V.P and section plane is parallel to V.P the
    section will be a

    a) triangle
    b) rectangle
    c) trapezium
    d) parallelogram
    Answer: b
    Explanation:
    Prisms are obtained by
    extruding required shape up to some
    appreciable length so there exist same crosssection along the length perpendicular to axis.
    If the cutting plane parallel to axis we get
    rectangle.
  3. 3.A cube is rested on H.P on one of its base
    such that base’s diagonal is perpendicular to
    V.P and section plane is making 45 degrees
    with both H.P and V.P and section plane is
    not intersecting more than 3 edges the section
    will be a

    a) triangle
    b) rectangle
    c) trapezium
    d) parallelogram
    Answer: a
    Explanation: Prisms are obtained by
    extruding required shape up to some
    appreciable length so there will be same
    cross-section along the length perpendicular
    to axis. If the cutting plane is parallel to axis
    we get rectangle if inclined to axis the section
    depends on the position where it is cutting.
  1. 4.A cube is rested on H.P on one of its base
    such that base’s diagonal is perpendicular to
    V.P and section plane is making 45 degrees
    with V.P and perpendicular to H.P the section
    will be a

    a) triangle
    b) rectangle
    c) trapezium
    d) parallelogram
    Answer: b
    Explanation:
    Prisms are obtained by
    extruding required shape up to some
    appreciable length so there exist same crosssection along the length perpendicular to axis.
    If the cutting plane parallel to axis we get
    rectangle.
  2. 5.A cube is placed on H.P on its base and
    vertical face is making 30 degrees with V.P,
    section plane is perpendicular to V.P the
    section will give a shape of a

    a) triangle
    b) rectangle
    c) trapezium
    d) parallelogram
    Answer: c
    Explanation:
    Prisms are obtained by
    extruding required shape up to some
    appreciable length so there will be same
    cross-section along the length perpendicular
    to axis. If the cutting plane is parallel to axis
    we get rectangle if inclined to axis the section
    depends on the position where it is cutting.
  3. 6.A square prism has its base on H.P and its
    faces equally inclined to V.P is cut at most
    critical place by a plane which is
    perpendicular to V.P and inclined 60 degrees
    with H.P the section will have shape like a

    a) irregular pentagon
    b) rectangle
    c) trapezium
    d) parallelogram
    Answer: a
    Explanation:
    Prisms are obtained by
    extruding required shape up to some
    appreciable length so there will be same
    cross-section along the length perpendicular
    to axis. If the cutting plane is parallel to axis
    we get rectangle if inclined to axis the section
    depends on the position where it is cutting.
  4. 7.A triangular prism resting on one of its
    longest faces on H.P and axis of prism is
    parallel to V.P, the section plane is
    perpendicular to both V.P and H.P the section
    will be a

    a) triangle
    b) rectangle
    c) trapezium
    d) parallelogram
    Answer: a
    Explanation:
    Prisms are obtained by
    extruding required shape up to some
    appreciable length so there exist same crosssection along the length perpendicular to axis.
    If the cutting plane parallel to axis we get a
    rectangle.
  5. 8.A pentagonal prism resting on one of its
    longest faces on H.P and axis of prism is
    parallel to V.P, the section plane is
    perpendicular to both V.P and H.P the section
    will be a

    a) pentagon
    b) irregular pentagon
    c) rectangle
    d) trapezium
    Answer: a
    Explanation:
    Prisms are obtained by
    extruding required shape up to some
    appreciable length so there exist same cross-section along the length perpendicular to axis.
    If the cutting plane parallel to axis we get a
    rectangle.
  6. 9.A pentagonal prism resting on one of its longest faces on H.P and axis of prism is parallel to V.P, the section plane is parallel to both V.P/ H.P the section will be a

a) pentagon
b) irregular pentagon
c) rectangle
d) trapezium

Answer: c
Explanation:
Prisms are obtained by
extruding required shape up to some
appreciable length so there exist same crosssection along the length perpendicular to axis.
If the cutting plane parallel to axis we get a
rectangle.

10.10.A hexagonal prism is resting on H.P on
one of its longest faces, axis is perpendicular
to V.P the section plane is parallel to V.P and
perpendicular to H.P. The section will be like a

a) hexagon
b) irregular hexagon
c) rectangle
d) trapezium
Answer: a
Explanation:
Prisms are obtained by
extruding required shape up to some
appreciable length so there exist same crosssection along the length perpendicular to axis.
If the cutting plane parallel to axis we get a
rectangle.

SECTIONS OF PYRAMIDS

  1. 1.A square pyramid is placed on V.P with
    square as base on V.P the cutting plane is
    parallel to H.P and also parallel to one edge
    of base, the section will be

    a) triangle
    b) rectangle
    c) square
    d) trapezium
    Answer: d
    Explanation:
    If a pyramid is cut by a plane
    parallel to axis and also parallel to any edge
    of base then the section formed will be
    trapezium if the section plane not parallel to
    edge of base then the section will be triangle.
  2. 2.A square pyramid is placed on V.P with
    square as base on V.P the cutting plane is
    parallel to V.P, the section will be

    a) triangle
    b) rectangle
    c) square
    d) pentagon
    Answer: c
    Explanation:
    If a pyramid is cut by a plane
    perpendicular to its axis section gives the
    base shape or parallel to axis and also parallel
    to any edge of base then the section formed
    will be trapezium if the section plane not
    parallel to edge of base then the section will
    be triangle.
  3. 3.A pentagon pyramid is placed on V.P with
    square as base on V.P the cutting plane is
    parallel to H.P and parallel to edge of base,
    the section will be

    a) triangle
    b) rectangle
    c) trapezium
    d) pentagon
    Answer: c
    Explanation:
    If a pyramid is cut by a plane
    parallel to axis and also parallel to any edge
    of base then the section formed will be
    trapezium if the section plane not parallel to
    edge of base then the section will be triangle.
  4. 4.A pentagon pyramid is placed on V.P with
    square as base on V.P the cutting plane is
    perpendicular to H.P and inclined to V.P and
    the section is cutting the whole cross-section,
    the section will be

    a) triangle
    b) trapezium
    c) irregular square
    d) irregular pentagon
    Answer: d
    Explanation:
    Given a regular pentagonal
    pyramid it may of any size having any
    distances in between them if a section plane
    cutting the solid inclined to its base and
    completely cutting the solid the section
    formed will be irregular base shape.
  5. 5.A pentagon pyramid is placed on V.P with
    square as base on V.P the cutting plane is
    perpendicular to H.P and inclined to V.P and
    the section is cutting not more than 3 edges,
    the section will be

    a) triangle
    b) trapezium
    c) irregular square
    d) irregular pentagon
    Answer: a
    Explanation:
    : If a pyramid is cut by a plane
    perpendicular to its axis section gives the
    base shape or parallel to axis and also parallel
    to any edge of base then the section formed
    will be trapezium if the section plane not
    parallel to edge of base then the section will
    be a triangle.
  1. 6.A square pyramid is placed on H.P on its
    square base and section plane is perpendicular
    to V.P and inclined to H.P cutting given solid
    in such a way that the perpendicular distance
    from the ends of section to axis is same. The
    section will be

    a) square
    b) triangle
    c) irregular pentagon
    d) rhombus
    Answer: d
    Explanation: Given a square pyramid it may
    of any size having any distances in between
    them if a section plane cutting the solid
    coincides with base edge and cutting pyramid
    gives a irregular square and similar to other
    based pyramids also.
  2. 7.A square pyramid is placed on H.P on its
    square base and section plane is perpendicular
    to V.P and parallel to H.P and cutting the
    solid. The section will be

    a) square
    b) triangle
    c) irregular pentagon
    d) rhombus
    Answer: a
    Explanation: If a pyramid is cut by a plane
    perpendicular to its axis section gives the
    base shape or parallel to axis and also parallel
    to any edge of base then the section formed
    will be trapezium if the section plane not
    parallel to edge of base then the section will
    be a triangle.
  3. 8.A square pyramid is placed on H.P on its
    square base and section plane is parallel to
    V.P and not parallel to edge of base is cutting
    the solid. The section will be

    a) square
    b) triangle
    c) irregular pentagon
    d) trapezium
    Answer: b
    Explanation: If a pyramid is cut by a plane
    parallel to axis and also parallel to any edge
    of base then the section formed will be
    trapezium if the section plane not parallel to
    edge of base then the section will be triangle.
  4. 9.A regular pentagonal pyramid of base side
    equal to 5 cm is resting on H.P on its
    pentagon face and section plane is parallel to
    axis and parallel to edge of base and plane is
    2 cm away from axis. The section will be

    a) triangle
    b) trapezium
    c) rectangle
    d) pentagon
    Answer: b
    Explanation:
    If a pyramid is cut by a plane
    parallel to axis and also parallel to any edge
    of base then the section formed will be
    trapezium if the section plane not parallel to
    edge of base then the section will be triangle.
  5. 10.A regular pentagonal pyramid of base side
    equal to 5 cm is resting on H.P on its
    pentagon face and section plane is
    perpendicular to axis. The section will be

    a) triangle
    b) trapezium
    c) rectangle
    d) pentagon
    Answer: d
    Explanation:
    If a pyramid is cut by a plane
    perpendicular to its axis section gives the
    base shape or parallel to axis and also parallel
    to any edge of base then the section formed
    will be trapezium if the section plane not
    parallel to edge of base then the section will
    be triangle.

SECTIONS OF CYLINDERS

  1. 1.A cylinder is placed on H.P on its base and
    section plane is parallel to V.P cutting the
    solid the section give
    s
    a) parabola
    b) circle
    c) rectangle
    d) ellipse
    Answer: c
    Explanation:
    Cylinder is formed by rotating
    the rectangle about one of its sides which is
    said to axis further. So if the cutting plane is
    parallel to axis the section formed is rectangle
    and if plane is perpendicular to axis it gives
    circle.
  2. 2.A cylinder is placed on H.P on its base and
    section plane is parallel to H.P cutting the
    solid the section gives

    a) parabola
    b) circle
    c) rectangle
    d) ellipse
    Answer: b
    Explanation:
    Cylinder is formed by rotating
    the rectangle about one of its sides which is
    said to axis further. So if the cutting plane is
    parallel to axis the section formed is rectangle
    and if plane is perpendicular to axis it gives
    circle.
  3. 3.A cylinder is placed on H.P on its base and
    section plane is inclined to V.P and
    perpendicular to H.P cutting the solid the
    section gives

    a) parabola
    b) circle
    c) rectangle
    d) ellipse

Answer: c
Explanation:
Cylinder is formed by rotating
the rectangle about one of its sides which is
said to axis further. So if the cutting plane is
parallel to axis the section formed is rectangle
and if plane is perpendicular to axis it gives
circle.

  1. 4.A cylinder is placed on H.P on its base and
    section plane is inclined to H.P and
    perpendicular to V.P cutting only less than
    half of the generators of the solid the section
    gives

    a) parabola
    b) circle
    c) rectangle
    d) ellipse
    Answer: a
    Explanation:
    If a cylinder is been cut by
    plane which is inclined to base or axis if it
    cuts all the generator the section formed will
    be ellipse and if the plane cuts less than half
    of generators the section formed will be
    parabola.
  2. 5.A cylinder is placed on V.P on its base and
    section plane is inclined to V.P and
    perpendicular to H.P cutting all the generators
    of the solid the section gives

    a) parabola
    b) circle
    c) rectangle
    d) ellipse
    Answer: d
    Explanation:
    If a cylinder is been cut by
    plane which is inclined to base or axis if it
    cuts all the generator the section formed will
    be ellipse and if the plane cuts less than half
    of generators the section formed will be
    parabola.
  3. 6.A cylinder is placed on V.P on its base and
    section plane is inclined to H.P and
    perpendicular to V.P cutting the solid the
    section gives

    a) parabola
    b) circle
    c) rectangle
    d) ellipse
    Answer: c
    Explanation:
    Cylinder is formed by rotating
    the rectangle about one of its sides which is
    said to axis further. So if the cutting plane is
    parallel to axis the section formed is rectangle
    and if plane is perpendicular to axis it gives
    circle.
  4. 7.A cylinder is been cut by a plane parallel to
    its base the section will be
    a) parabola
    b) circle
    c) rectangle
    d) ellipse
    Answer: b

    Explanation: Cylinder is formed by rotating
    the rectangle about one of its sides which is
    said to axis further. So if the cutting plane is
    parallel to axis the section formed is rectangle
    and if plane is perpendicular to axis it gives
    circle.
  5. 8.A cylinder is been cut by a plane parallel to
    axis the section will be

    a) parabola
    b) circle
    c) rectangle
    d) ellipse
    Answer: c
    Explanation:
    Cylinder is formed by rotating
    the rectangle about one of its sides which is
    said to axis further. So if the cutting plane is
    parallel to axis the section formed is rectangle
    and if plane is perpendicular to axis it gives
    circle.

SECTIONS OF CONES

  1. 1.A regular cone is placed on V.P on its base
    a section plane is parallel to H.P and section
    plane is 2cm away from the axis the section will be

a) ellipse
b) hyperbola
c) circle
d) triangle
Answer: b
Explanation:
If a cone made to cut by a plane
parallel to its axis and some distance away
from it the section formed is hyperbola. If the
section plane is perpendicular to axis the
section is circle. If section plane passes
through apex the section formed is a triangle.

  1. 2.A regular cone is placed such that axis is
    perpendicular to H.P and the section plane is
    inclined to axis and parallel to one of the
    generator then the section will be

    a) ellipse
    b) hyperbola
    c) parabola
    d) triangle
    Answer: c
    Explanation: If a regular cone is been cut by
    plane which is inclined to axis of cone and
    cutting all generators then the section formed
    will be ellipse and if section plane is inclined
    with axis with angle less than half of the
    angle between the slanting ends then section
    formed is a parabola.
  2. 3.A regular cone is placed such that axis is
    parallel to both reference planes the section
    plane perpendicular to both reference planes
    and cuts the cone the section will be like

    a) ellipse
    b) hyperbola
    c) circle
    d) triangle
    Answer: c
    Explanation: If a cone made to cut by a plane
    parallel to its axis and some distance away
    from it the section formed is hyperbola. If the
    section plane is perpendicular to axis the
    section is circle. If section plane passes
    through apex the section formed is a triangle.
  3. 4.A regular cone is placed on H.P and
    section plane is parallel to axis cutting the
    cone at the middle then the section will be

    a) ellipse
    b) hyperbola
    c) circle
    d) triangle
    Answer: d
    Explanation: If a cone made to cut by a plane
    parallel to its axis and some distance away
    from it the section formed is hyperbola. If the
    section plane is perpendicular to axis the
    section is circle. If section plane passes
    through apex the section formed is a triangle.
  4. 5.A regular cone is been cut by a cutting
    plane which passes through the apex of cone
    and making some angle with axis less than
    half of angle between the slanting ends the
    section will be like

    a) ellipse
    b) hyperbola
    c) circle
    d) triangle
    Answer: d
    Explanation:
    If a cone made to cut by a plane
    parallel to its axis and some distance away
    from it the section formed is hyperbola. If the
    section plane is perpendicular to axis the
    section is circle. If section plane passes
    through apex the section formed is a triangle

SECTIONS OF SPHERES

  1. 1.A sphere is placed on H.P and section
    plane is parallel to H.P the section is circle
    and if the section plane is parallel to V.P the
    section is again circle.

    a) True
    b) False
    Answer: a
    Explanation:
    When a sphere is cut by a
    plane, the true shape of the section is always a
    circle. But here asked are views so it will be
    lines or ellipse according to section plane
    however the section plane will lay section
    will be circle.
  2. 2.If a sphere is made to cut by a plane which
    is inclined to V.P when circle is on H.P the
    section formed will be an ellipse.

    a) True
    b) False
    b) ellipse, circle
    c) line, ellipse
    d) line, circle
    Answer: d
    Explanation:
    When a sphere is cut by a
    plane, the true shape of the section is always a
    circle. But here asked are views so it will be
    lines or ellipse according to section plane
    however the section plane will lay section
    will be circle.
  3. 3.A sphere is placed on V.P the section plane
    perpendicular to H.P and inclined to V.P
    cutting the sphere section formed and front
    view will be

    a) circle, line
    b) circle, circle
    c) ellipse, circle
    d) circle, ellipse
    Answer: d
    Explanation:
    When a sphere is cut by a
    plane, the true shape of the section is always a
    circle. But here asked are views so it will be
    lines or ellipse according to section plane
    however the section plane will lay section
    will be circle.
  1. 5.A hemi sphere is placed on H.P on its base
    a section plane which is perpendicular to H.P
    and inclined to V.P and cutting the
    hemisphere the section will be

    a) circle
    b) ellipse
    c) sector
    d) segment
    Answer: d
    Explanation:
    Hemisphere is the half sphere.
    When a hemisphere is made to cut by a plane
    parallel to base the section formed will be
    circle. If the plane is inclined to base the
    section formed will be segment.

DEVELOPMENT OF SURFACES

  1. 1.Which method of development is
    employed in case of prisms?
    a) Parallel-line development
    b) Approximation method
    c) Triangulation development
    d) Radial-line development
    Answer: a
    Explanation:
    Parallel-line method is
    employed in case of prisms and cylinders in
    which stretch out-line principle is used.
    Radial-line development is used for pyramids
    and cones in which the true length of the slant
    edge or the generator is used as a radius.
  2. 2.Which method of development is
    employed in case of cones?

    a) Parallel-line development
    b) Approximation method
    c) Triangulation development
    d) Radial-line development
    Answer: d
    Explanation: Parallel-line method is
    employed in case of prisms and cylinders in
    which stretch out-line principle is used.
    Radial-line development is used for pyramids
    and cones in which the true length of the slant
    edge or the generator is used as a radius.
  3. 3.Which method of development is
    employed in case of double curved objects?

    a) Parallel-line development
    b) Approximation method
    c) Triangulation development
    d) Radial-line development
    Answer: b
    Explanation:
    Approximation method is used
    to develop objects of double curved or
    warped surfaces as sphere, paraboloid,
    ellipsoid, hyperboloid and helicoid.
    Triangulation method is used for transition
    pieces. This is simply a method of dividing a
    surface into number of triangles and
    transferring them into the development.
  4. 4.4.Which method is used to develop transition
    pieces?
    a) Parallel-line development
    b) Approximation method
    c) Triangulation development
    d) Radial-line development
    Answer: c

    Explanation: Approximation method is used
    to develop objects of double curved or
    warped surfaces as sphere, paraboloid,
    ellipsoid, hyperboloid and helicoid.
    Triangulation method is used for transition
    pieces. This is simply a method of dividing a
    surface into number of triangles and
    transferring them into the development.
  1. 5.Which method of development is
    employed in case of sphere, ellipsoid?

    a) Parallel-line development
    b) Approximation method
    c) Triangulation development
    d) Radial-line development
    Answer: b
    Explanation:
    Approximation method is used
    to develop objects of double curved or
    warped surfaces as sphere, paraboloid,
    ellipsoid, hyperboloid and helicoid.
    Triangulation method is used for transition
    pieces. This is simply a method of dividing a
    surface into number of triangles and
    transferring them into the development.
  2. 6.Developments of the lateral surface of a
    prism consist of the same number of
    in contact as the number of the

    sides of base of the prism.
    a) squares
    b) rectangles
    c) triangles
    d) parallelograms
    Answer: b
    Explanation: Developments of the lateral
    surface of a prism consist of the same number
    of rectangles in contact as the number of the
    sides of base of the prism. One side of the
    rectangle is equal to the length of the axis and
    the other side equal to the length of the side
    of the base.
  1. 7.The development of lateral surface of a
    pyramid consists of a number of equal
    triangle in contact.

    a) equilateral
    b) isosceles
    c) scalene
    d) right angled
    Answer: b
    Explanation:
    The development of lateral
    surface of a pyramid consists of a number of
    equal isosceles triangles in contact. The base
    and sides of each triangle are respectively
    equal to the edge of the base and slant edge of
    the pyramid.

INTERSECTION OF SURFACES

  1. 1.The surfaces of which intersect one another
    in lines which are called line of intersection.

    a) True
    b) False
    Answer: a
    Explanation:
    In engineering practice, objects
    constructed may have constituent parts, the
    surfaces of which intersect one another in line
    which are called line of intersection. A dome
    fitted on a boiler is one such example. The
    surface of the dome extends up to the line of
    intersection only.
    and between a plane surface and curved
    surfaces is a
    a) straight line, curve, curve
    b) straight line, straight line, curve
    c) straight line, curve, straight line
    d) curve, curve, curve
    3.Which method of development is
  2. employed in case of double curved objects? The plane surfaces (faces of
    prisms and pyramids) intersect in a straight
    line. The line of intersection between two
    curved surfaces (of cylinders and cones) or
    between a plane surface and curved surfaces
    is a curve.
  3. 2.Drawing straight lines on both the surfaces
    of solids and then pointing the points where
    they intersect and drawing lines which forms
    the line of intersection this process of finding
    the line of intersection is termed as
    method.

    a) assumption
    b) line
    c) removing material
    d) cutting- plane
    Answer: b
    Explanation: A number of lines are drawn on
    the lateral surface of one of the solids and in
    the region of the line of intersection. Points of
    intersection of these lines with the surface of
    the other solid are then located. These points
    will obviously lie on the required line of
    intersection.
  4. 4.
    a) assumption
    b) line
    c) removing material
    d) cutting- plane

Answer: d
Explanation:
The two solids are assumed to
be cut by a series of cutting planes. The
cutting planes may be vertical, edgewise or
oblique. The cutting planes are so selected as
to cut the surface of one of the solids in
straight lines and that of the other in straight
lines or circle.

  1. 5.The line of intersection formed is curve
    while two solids are intersecting the solids
    may be

    a) cylinder, sphere
    b) prism, prism
    c) cuboid, cube
    d) prism, pyramid
    Answer: a
    Explanation:
    If any of the solid in two of
    intersecting solids is having curves surface
    that is cylinder, cone, sphere etc the line of
    intersection will give curve only but not
    straight line for getting line of intersection
    straight line both the solids should not have
    curved surfaces.

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