AnswersFL-1205040-MJ Grade 7 Mathematics B -GFVolume and Surface Area Problems

Volume and Surface Area Problems — Unit test Answers

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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
2
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Valentina has a tray where she keeps all of her important papers. The tray is in the shape of a rectangular prism with no top.What is the volume of papers that the tray can hold?

Question illustration
A
160 inches cubed
Option A
B
180 inches cubed
Option B
C
280 inches cubed
Option C
D
300 inches cubed
Option D
3

Each brick in the wall has the dimensions shown below.What is the volume of each brick?

Question illustration
A
59 inches cubed
Option A
B
72 inches cubed
Option B
C
118 inches cubed
Option C
D
144 inches cubed
Option D
4

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
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

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.
7

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
8

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
9

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
10

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
11

What is the minimum amount of cloth that was used to make the tent shown below?

Question illustration
A
120 feet squared
Option A
B
160 feet squared
Option B
C
184 feet squared
Option C
D
208 feet squared
Option D
12

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.
13

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.
14

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
15

Kievan bought a new eraser that came in a cardboard wrapper.What is the minimum amount of cardboard used for the wrapper?

Question illustration
A
38 centimeters squared
Option A
B
40 centimeters squared
Option B
C
76 centimeters squared
Option C
D
80 centimeters squared
Option D
16

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
17

If the volume of the pyramid shown is , what is the area of its base?

Question illustration
A
4 inches squared
Option A
B
12 inches squared
Option B
C
24 inches squared
Option C
D
36 inches squared
Option D
18

The volume of the prism shown is .What is the volume of a pyramid with the same base length, base width, and height?

Question illustration
A
24 inches cubed
Option A
B
36 inches cubed
Option B
C
72 inches cubed
Option C
D
216 inches cubed
Option D
19

What is the total surface area of the square pyramid?__________ square inches

Question illustration
A
20
B
40
C
104
D
144
20

Bob bought a solid rubber doorstop to keep the air flowing between the rooms of his apartment.What is the minimum amount of rubber used to make the doorstop?

Question illustration
A
5 centimeters cubed
Option A
B
7.5 centimeters cubed
Option B
C
32 centimeters cubed
Option C
D
33 centimeters cubed
Option D

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