AnswersOC27 GEO-1206310-S2-Degele-VOL7006PVolume of Pyramids

Volume of Pyramids Answers

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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
2
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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.
3

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
4

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
i
in.2
Option i
i
in.2
Option i
i
in.2
Option i
x
x2 in.2
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

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
0
0.7 cm3
1
1.2 cm3
1
1.8 cm3
2
2.3 cm3
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 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
9

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
10

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
11

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
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
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
13

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
14

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
15

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
16

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

Question illustration
4
4 feet
8
8 feet
1
12 feet
1
16 feet

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