AnswersWHS Pre-Algebra - MA3119 B-CRTopic Test

Topic Test Answers

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1
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What does volume measure?

A
the amount of space occupied by a two-dimensional solid object
B
the total area of all the surfaces of a three-dimensional solid object
C
the amount of space inside the boundary of a two-dimensional object
D
the amount of space occupied by a three-dimensional solid object
2
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Which could be the area of the base of the triangular prism? [Not drawn to scale]

Question illustration
A
6 ft2
B
10 ft2
C
12 ft2
D
20 ft2
3

Which equation should be used to find the volume of the figure?

Question illustration
A
V = one-third (6) (4) (8)
Option A
B
V = one-half (6) (4) (8)
Option B
C
V = one-third (6) (4) (10)
Option C
D
V = one-half (6) (4) (10)
Option D
4

Which shows how to determine the volume of the pyramid?

Question illustration
A
V = one-third (12) (8) (10)
Option A
B
V = one-half (12) (10)
Option B
C
V = one-half (12) (8) (10)
Option C
D
V = One-third (12) (10)
Option D
5

What is the surface area of the rectangular pyramid below?

Question illustration
A
29.99 m2
B
31.04 m2
C
41.74 m2
D
65.24 m2
6

What is the surface area of the triangular prism? [Not drawn to scale]

Question illustration
A
115 square feet
B
120 square feet
C
135 square feet
D
150 square feet
7

Which equation can be used to find the surface area of the cylinder?

Question illustration
A
S = 2 pi (8) squared + 2 pi (12) (8)
Option A
B
S = 2 (6) squared + 2 (6) (8) pi
Option B
C
S = 2 pi (12) squared + 2 pi (12) (8)
Option C
D
S = 2 pi (6) squared + 2 pi (6) (8)
Option D
8

Which statement is true about every rectangular pyramid?

A
Each lateral face has an area less than the area of the base.
B
At least two of the lateral faces are congruent.
C
Each lateral face has the same height.
D
At least one of the faces has a whole number base or height.
9

What is the surface area of the cylinder? Express the answer in terms of . Recall the formula .

Question illustration
A
152 pi
Option A
B
176 pi
Option B
C
304 pi
Option C
D
792 pi
Option D
10

What is the volume of this rectangular prism?

Question illustration
A
30.75 cm
Option A
B
61.5 cm
Option B
C
147.6 cm
Option C
D
295.2 cm
Option D
11

Which equation can be used to find the surface area of the cylinder?

Question illustration
A
S = 2 pi (14) squared + 2 pi (14) (6)
Option A
B
S = 2 (3) squared + 2 (3) (14)
Option B
C
S = 2 pi (6) squared + 2 pi (6) (14)
Option C
D
S = 2 pi (3) squared + 2 pi (3) (14)
Option D
12

Which equation can be used to find the volume of this solid?

Question illustration
A
V = StartFraction 7 + 6 over 2 EndFraction times 8
Option A
B
V = StartFraction 7 + 6 + 8 over 2 EndFraction
Option B
C
V = StartFraction 7 times 6 over 2 EndFraction times 8
Option C
D
V = StartFraction 7 times 6 over 2 EndFraction + 8
Option D
13

A cylinder has a diameter of 40 feet and a height of 32 feet. What is the surface area of the cylinder? Express the answer in terms of . Recall the formula .

Question illustration
A
1,320 pi feet squared
Option A
B
1,792 pi feet squared
Option B
C
2,080 pi feet squared
Option C
D
2,640 pi feet squared
Option D
14

Two triangular faces of a rectangular pyramid each have an area of 7.8 cm2 and the other two faces each have an area of 16.5 cm2. If the area of the base is 60 cm2, what is the total surface area of the pyramid?

A
84.3 cm2
B
108.6 cm2
C
157.2 cm2
D
168.6 cm2
15

What is the volume of this triangular prism?

Question illustration
A
182 m
Option A
B
195 m
Option B
C
210 m
Option C
D
390 m
Option D
16

What is the surface area of the triangular prism?

Question illustration
A
2,001 square feet
B
2,376 square feet
C
2,592 square feet
D
4,320 square feet
17

A rectangular pyramid has a volume of , a height of 12 in., and a base length of 21 in. What is the width of its base?

Question illustration
A
2 in.
B
6 in.
C
12 in.
D
18 in.
18

Which expression represents the total surface area, in square meters, of the rectangular pyramid below?

Question illustration
A
(18.4) (27.6) + 2 ((18.4) (20.4)) + 2 ((27.6) (17.6))
Option A
B
(18.4) (27.6) + 2 ((18.4) (22.4)) + 2 ((27.6) (22.4))
Option B
C
(18.4) (27.6) + 2 (one-half (18.4) (20.4)) + 2 (one-half (27.6) (17.6))
Option C
D
(18.4) (27.6) + 2 (one-half (18.4) (22.4)) + 2 (one-half (27.6) (22.4))
Option D
19

A pyramid has a volume of and a rectangular base with the dimensions 18 inches by 9 inches. What is the height of the pyramid?

Question illustration
A
4 in.
B
12 in.
C
24 in.
D
36 in.
20

Which could be the area of a face of the rectangular prism? [Not drawn to scale]

Question illustration
A
5 m2
B
6 m2
C
7 m2
D
9 m2

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