Name:------­ Ch8j)ter: Volume·
Assilmment: #1
Show you work and write your answers on a separate sheet of paper 11 you want credit.
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1. Complete this defmition:
A pyramid is a -l. with one -l. face (called the base) and whose other faces (lateral
faces) are 3.... formed by segments connecting the vertices of the base to a common
point (the vertex) not on the base.
For Exercises 2-9. refer to the figures below. All measurements are in centimeters.
2. Name the bases of the prism.
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3. Name all the lateral faces of the prism.
4. Name all the lateral edges of the prism.
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\\llat is the height of the prism?
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6. Name the base of the pyramid.
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7. Name the vertex of the pyramid.
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8. ~ame all the lateral edges of the pyramid.
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9. What is the height of the pyramid?
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For Exercises 10-22. match each real ob.iect with a geometry term. lOU may use a
geometry term more than once or not at all.
10. Die
17. Honeycomb
A. Cylinder
11. Tomb of Egyptian rulers
18. Stop sign
B. Cone
12. Holder for a scoop of ice cream
19. Moon
13. Wedge or doorstop
20. Can of tuna fish
14. Box of breakfast cereal
21. Book
1S. Plastic bowl with lid
22. Pup tent
C. Square pri~in
D. Square pvramid
E. Sphere
F. Triangular pyramid
G. Octagonal prism
16. Ingot of silver
H. Triangular prism
I. Trapezoidal prism
J. Rectangular prism
K. Heptagonal pvramid
L Hexagonal prism
M, Hemisphere
For Exercises 23-26, draw and label each solid. Use dashed lines to show the
hidden edges.
23. A triangular pyramid whose base is an equilateral triangular region (use the proper
marks to show that the base is equilateral)
24. A hexahedron with two trapezoidal faces
25. A cylinder with
a
height that is twice the diameter of the base (use x and 2x to
indicate the height and the diameter)
26. A right cone with a height that is half the diameter of the base
For Exercises 27-35, identify each statement as true or false. Sketch a counterexample for
each false statement or explain why it is false.
27... .!~'rateral face of a pyramid is always a triangular region.
28. A lateral edge of a pyramid is always perpendicular to the base.
29. Every slice of a prism cut paralleLto the bases is congruent
to
the bases.
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30. \\'hen the lateral surface of a right cylinder is unwrapped and laid flat, it is a
rectangle.
31. When the lateral surface of a right circular cone is unwrapped and laid flat. it is
a triangle.£,
32. Every section of a cylinder, parallel to the base, is congruent to the base.
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33. The length of a segment from the Vertex of a cone
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of the cone.
to
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the circular base is the height
34. The length of the axis of a right cylinder is the height of the cylinder.
35. All siices of a sphere passing through the sphere's center are congruent.