10-7
Exercises
KEYWORD: MG7 10-7
KEYWORD: MG7 Parent
GUIDED PRACTICE
1. Vocabulary The altitude of a pyramid is ? to the base. (perpendicular, parallel,
̶̶̶̶
or oblique)
SEE EXAMPLE
1
p. 705
Find the volume of each pyramid. Round to the nearest tenth, if necessary.
2.
3.
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4. a hexagonal pyramid with a base area of 25 ft 2 and a height of 9 ft
SEE EXAMPLE
2
p. 706
SEE EXAMPLE
3
p. 707
5. Geology A crystal is cut into the shape formed by two square
pyramids joined at the base. Each pyramid has a base edge
length of 5.7 mm and a height of 3 mm. What is the volume
to the nearest cubic millimeter of the crystal?
3 mm
5.7 mm
Find the volume of each cone. Give your answers both in terms
of π and rounded to the nearest tenth.
6.
7.
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8. a cone with radius 12 m and height 20 m
SEE EXAMPLE 4
p. 708
Describe the effect of each change on the volume of the given figure.
9. The dimensions are tripled.
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1.
10. The dimensions are multiplied by _
2
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SEE EXAMPLE
p. 708
5
Find the volume of each composite figure. Round to the nearest tenth, if necessary.
11.
12.
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10-7 Volume of Pyramids and Cones
709
PRACTICE AND PROBLEM SOLVING
Independent Practice
For
See
Exercises Example
13–15
16
17–19
20–21
22–23
Find the volume of each pyramid. Round to the nearest tenth, if necessary.
13.
14.
1
2
3
4
5
Extra Practice
Skills Practice p. S23
Application Practice p. S37
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15. a regular square pyramid with base edge length 12 ft and slant height 10 ft
16. Carpentry A roof that encloses
an attic is a square pyramid with
a base edge length of 45 feet and
a height of 5 yards. What is the
volume of the attic in cubic feet?
In cubic yards?
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Find the volume of each cone. Give your answers both in terms of π and rounded
to the nearest tenth.
17.
18.
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19. a cone with base area 36π ft 2 and a height equal to twice the radius
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Describe the effect of each change on the volume of the given figure.
1.
20. The dimensions are multiplied by _
21. The dimensions are multiplied by 6.
3
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Find the volume of each composite figure. Round to the nearest tenth, if necessary.
22.
23.
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Find the volume of each right cone with the given dimensions. Give your answers in
terms of π.
24. radius 3 in.
height 7 in.
710
Chapter 10 Spatial Reasoning
25. diameter 5 m
height 2 m
26. radius 28 ft
slant height 53 ft
27. diameter 24 cm
slant height 13 cm