Name _______________________________________________________ Period _____ Score ____________________
13.3 Slicing Through Right Rectangular Pyramids
Fill in each blank with the appropriate key term from the given word bank.
36.
pyramid
base
lateral face
lateral edge
vertex
height
regular pyramid
slant height
34. A ____________ is a polyhedron formed by
connecting one polygonal face to several
triangular faces.
35. A __________________ is a pyramid in
which the base is a regular polygon.
Sketch a plane intersecting a right rectangular pyramid to achieve each stated goal.
37. Sketch a plane intersecting a square pyramid such that 38. Sketch a plane intersecting a square pyramid such that
the cross-section looks like the given square.
the cross-section looks like the given triangle. The plane
should not pass through any of the vertices of the
pyramid.
39. Sketch a plane intersecting a square pyramid such that
the cross-section looks like the given trapezoid. The plane
should not pass through any of the vertices of the pyramid.
40. Sketch a plane intersecting a square pyramid such that
the cross-section looks like the given triangle.
41. Sketch a plane intersecting a right rectangular
pyramid that is not a square pyramid such that the plane
passes through the vertex and two opposite vertices of the
base.
42. Sketch a plane intersecting a right rectangular
pyramid that is not a square pyramid such that the plane
passes through two opposite vertices of the base and does
not pass through the vertex.
43. Sketch a plane intersecting a square pyramid such that
the plane passes through two consecutive vertices of the
base and does not pass through any other vertices of the
pyramid.
Describe the cross-section that results from the intersection of a plane and a right rectangular pyramid as
described in each problem.
44. A plane intersects a square pyramid perpendicular to
45. A plane intersects a square pyramid parallel to its
its base and passing through the vertex.
base.
46. A plane intersects a right rectangular pyramid that is
not a square pyramid parallel to its base.
47. A plane intersects a square pyramid perpendicular to
its base, but does not pass through the vertex. The plane is
also parallel to two edges of the base.
48. A plane intersects a rectangular pyramid
perpendicular to its base such that it intersects only two
lateral faces.
49. A plane intersects a right rectangular pyramid such
that it passes through two consecutive vertices of the base
and does not pass through any other vertices in the
pyramid.
50. A plane intersects a square pyramid such that it passes
through the vertex and two opposite vertices of the base.
51. A plane intersects a square pyramid such that it passes
through all four lateral faces, is not parallel to the base,
and is parallel to two edges of the base.