Lesson 12.3: 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
7

The oblique pyramid has a square base.

Question illustration
A
2.5 cm3
B
5 cm3
C
6 cm3
D
7.5 cm3
12

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
17

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
18

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
19

The four diagonals of a cube are drawn to create 6 square pyramids with the same base and height. The volume of the cube is (b)(b)(b). The height of each pyramid is h.

Question illustration
A
(b)(b)(2h) or Bh.
Option A
B
(b)(b)(6h) or Bh.
Option B
C
(b)(b)(6h) or Bh.
Option C
D
(b)(b)(2h) or Bh.
Option D
20

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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