Volume of Cylinders, Cones, and Spheres Answers

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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
2
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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
3

The base of a solid oblique pyramid is an equilateral triangle with a base edge length of 14 units.

Question illustration
A
7 units
B
7 units
Option B
C
14 units
D
14 units
Option D
4

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
5

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.
6

The volume of an oblique pyramid with a square base is V units3 and the height is h units.

Question illustration
A
units2
Option A
B
(3V – h) units2
C
(V – 3h) units2
D
units2
Option D
7

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
8

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
9

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
10

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

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