AnswersEAP-Geometry B CREquation of a Circle

Volume of Pyramids Answers

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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
2
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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
3

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
4

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
5

The oblique pyramid has a square base.

Question illustration
A
2.5 cm3
B
5 cm3
C
6 cm3
D
7.5 cm3
6

A solid right pyramid has a square base. The base edge length is 2 cm longer than the height of the pyramid.

Question illustration
A
24 cm3
B
48 cm3
C
128 cm3
D
144 cm3
7

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.
8

The base of a solid oblique pyramid is an equilateral triangle with an edge length of s units.

Question illustration
A
units
Option A
B
units
Option B
C
units
Option C
D
units
Option D
9

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
10

A solid oblique pyramid has a square base with an edge length of 2 cm. Angle BAC measures 45° and AC measures 3.6cm.

Question illustration
A
2.4 cm3
B
3.6 cm3
C
4.8 cm3
D
7.2 cm3

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