AnswersPA-Geometry B-CRThree-Dimensional Figures and Cross Sections

Volume of Pyramids Answers

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What is the difference of the volumes of the two oblique pyramids, both of which have square bases? Round the volumes to the nearest tenth of a centimeter.

Question illustration
A
0.7 cm3
B
1.2 cm3
C
1.8 cm3
D
2.3 cm3
2
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A solid right pyramid has a square base with an edge length of x cm and a height of y cm.

Question illustration
A
xy cm3
Option A
B
x2y cm3
Option B
C
xy2 cm3
Option C
D
x2y cm3
Option D
3

The base of a solid oblique pyramid is an equilateral triangle with a base edge length of 18 inches.

Question illustration
A
9 √ 2 in.
B
9 √ 3 in.
C
18 √ 2 in.
D
18 √ 3 in.
4

The volume of a solid right pyramid with a square base is V units3 and the length of the base edge is y units.

Question illustration
A
StartFraction 3 V Over y squared EndFraction units
Option A
B
(3 V minus y squared) units
Option B
C
(V minus 3 y squared) units
Option C
D
StartFraction V Over 3 y squared EndFraction units
Option D
5

The oblique pyramid has a square base with an edge length of 5 cm. The height of the pyramid is 7 cm.

Question illustration
A
11 cm3
Option A
B
43 cm3
Option B
C
58 cm3
Option C
D
87 cm3
Option D
6

A soundproofing tile is made of 8 identical solid right pyramids with square bases. The length of the whole tile shown is x inches.

Question illustration
A
in.2
Option A
B
in.2
Option B
C
in.2
Option C
D
x2 in.2
7

A solid oblique pyramid has an equilateral triangle as a base with an edge length of 4 cm and an area of 12 cm2.

Question illustration
A
12 cm3
Option A
B
16 cm3
Option B
C
24 cm3
Option C
D
32 cm3
Option D
8

A solid oblique pyramid has a regular hexagonal base with an area of 54 cm2 and an edge length of 6 cm. Angle BAC measures 60°.

Question illustration
A
72 cm3
Option A
B
108 cm3
Option B
C
324 cm3
D
486 cm3
9

Which lengths can be used, directly or indirectly, to calculate the volume of the hexagonal right pyramid? Select three options.

A
XY and ST
B
VU and TW
C
XS and XW
D
TX and WX
E
VU and YZ
10

A right pyramid with a square base has a base edge length of 24 feet and a slant height of 20 feet.

Question illustration
A
4 feet
B
8 feet
C
12 feet
D
16 feet

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