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

Volume and Surface Area Problems — Unit test Answers

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Regina’s work to find the surface area of a square pyramid from its net is shown below. Surface area of the pyramid = square inchesWhat error did Regina make?

Question illustration
A
She should have used to represent the area of a single triangle.
Option A
B
She should have multiplied all the terms inside the parentheses by 4 when she simplified.
C
She should have used to represent the area of a single triangle.
Option C
D
She should have used a different collection of shapes as the net of the pyramid.
2
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What is the volume of the pyramid in cubic millimeters?

Question illustration
A
709
B
945
C
1890
D
2835
3

Which could be the area of one face of the triangular prism? Select three options. [Not drawn to scale]

Question illustration
A
24 square units
B
48 square units
C
72 square units
D
96 square units
E
144 square units
4

What is the total surface area of this square pyramid?_____________ mm2

Question illustration
A
189
B
216
C
297
D
378
5

Which statement is true about the square pyramid below?

Question illustration
A
The base has an area of 464 square inches.
B
The base has an area of 928 square inches.
C
Each of the lateral faces has an area of 464 square inches.
D
Each of the lateral faces has an area of 928 square inches.
6

Which shows how to determine the volume of the pyramid?

Question illustration
A
V = one-third (3) (3) (5)
Option A
B
V = one-half (3) (5)
Option B
C
V = one-half (3) (3) (5)
Option C
D
V = one-third (3) (5)
Option D
7

Ryan and Scott are each studying a square pyramid.Which statement best describes the two pyramids?

Question illustration
A
Both pyramids have the same total surface area, but the areas of the lateral faces and the areas of the bases are different in each pyramid.
B
Both pyramids have the same total surface area, and the areas of the lateral faces and the areas of the bases are the same in each pyramid.
C
Ryan’s pyramid has a greater surface area.
D
Scott’s pyramid has a greater surface area.
8

Alexandra’s favorite chocolate comes in a cardboard package like the one shown below.What is the surface area of the cardboard package, in square inches?

Question illustration
A
54
B
94
C
134
D
148
9

If the volume of the pyramid is , what is its height in cm?

Question illustration
A
3
B
9
C
12
D
18
10

A rectangular prism has a length of 8 feet, a width of 3 feet, and a height of 5 feet. What is the surface area of the rectangular prism?

A
64 square feet
B
79 square feet
C
120 square feet
D
158 square feet
11

Which could be the area of one face of the rectangular prism? Select three options.

Question illustration
A
20 centimeters squared
Option A
B
24 centimeters squared
Option B
C
44 centimeters squared
Option C
D
48 centimeters squared
Option D
E
66 centimeters squared
Option E
12

Which pyramid has a greater volume and how much greater is its volume?

Question illustration
A
The volume of the pyramid on the left is greater by .
Option A
B
The volume of the pyramid on the left is greater by .
Option B
C
The volume of the pyramid on the right is greater by .
Option C
D
The volume of the pyramid on the right is greater by .
Option D
13

Gina bought the small plastic boxes below. Which container requires more plastic to make, and how much more plastic is needed?

Question illustration
A
The container on the right is made of more plastic.
Option A
B
The container on the left is made of more plastic.
Option B
C
The container on the right is made of more plastic.
Option C
D
The container on the left is made of more plastic.
Option D
14

Carlos needs to paint the outside of the shed in his backyard, including its roof but not including its floor.What is the total area of the surfaces that he needs to paint?

Question illustration
A
214 feet squared
Option A
B
230 feet squared
Option B
C
300 feet squared
Option C
D
350 feet squared
Option D
15

Which could be the area of one face of the rectangular prism? Select three options. [Not drawn to scale]

Question illustration
A
24 square inches
B
28 square inches
C
36 square inches
D
54 square inches
E
63 square inches

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