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

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

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 shape is pictured here?

Question illustration
A
cube
B
rectangular pyramid
C
rectangular prism
D
rectangular cylinder
14

What is the volume of the pyramid in cubic millimeters?

Question illustration
A
709
B
945
C
1890
D
2835
15

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
16

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
17

Which figure is shown?

Question illustration
A
prism
B
pyramid
C
cylinder
D
cone
18

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.
19

Which statement is true about rectangular prisms?

A
All rectangular prisms have five faces.
B
The bases are always congruent.
C
The lateral faces are always congruent.
D
All rectangular prisms have three lateral faces.
20

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

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