AnswersMath 7 B M12 2526 S2Cross Sections

Cross Sections — Unit test Answers

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1
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Which correctly describes a cross section of the square pyramid? Select three options.

Question illustration
A
A cross section parallel to the base is a square with side lengths of 2 ft.
B
A cross section parallel to the base is a square with side lengths of less than 2 ft.
C
A cross section perpendicular to the base through the top vertex is a triangle with the same dimensions as the triangular sides of the pyramid.
D
A cross section perpendicular to the base through the top vertex is a triangle with different dimensions than the triangular sides of the pyramid.
E
A cross section that is perpendicular to the base that does not pass through the top vertex of the pyramid is a trapezoid.
2
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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
3

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
4

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
5

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

Question illustration
A
189
B
216
C
297
D
378
6

The rectangular prism is to be sliced parallel to the shaded base. What number is missing from the dimensions of the cross section?_______ inches by 3 inches

Question illustration
A
3
B
4
C
6
D
7
7

Nikolas calculated the volume of the prism. His work is shown below.Nikolas’s Work:Where, if any, did Nikolas first make a mistake in his work?

Question illustration
A
Nikolas used the wrong measurements when finding the area of the base.
B
Nikolas used the wrong formula for the volume of the prism.
C
Nikolas made a computational error.
D
Nikolas did not make a mistake.
8

Will wanted to make some brownies using the pan shown below.What is the maximum amount of brownie batter that Will can pour into the pan, in cubic inches?

Question illustration
A
37
B
54
C
108
D
216
9

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.
10

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

Question illustration
A
3
B
9
C
12
D
18
11

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
12

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.
13

Which figures have more than one base? Select three options.

A
cone
B
cylinder
C
rectangular prism
D
rectangular pyramid
E
triangular prism
14

What is the volume of the pyramid in cubic millimeters?

Question illustration
A
709
B
945
C
1890
D
2835
15

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.
16

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
17

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
18

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
19

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.
20

What is the shape of the cross section of the figure that is perpendicular to the rectangular base and passes through the top vertex of the figure?

Question illustration
A
a parallelogram that is not a rectangle
B
a rectangle
C
a triangle that must have the same dimensions as one of the faces
D
a triangle that does not have the same dimensions as one of the faces

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