AnswersGrade 7 MathematicsThree-Dimensional Geometry

Practice Test Answers

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1
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Which container requires more plastic to make, and how much more plastic is needed?

A
The container on the left is made of 2 cm squared more plastic.
B
The container on the right is made of 20 cm squared more plastic.
C
The container on the left is made of 20 cm squared more plastic.
D
The container on the right is made of 2 cm squared more plastic.
2
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Which could be the area of one face of the rectangular prism? Choose three correct answers.

A
24 cm squared
B
48 cm squared
C
20 cm squared
D
66 cm squared
E
44 cm squared
3

Where, if any, did Nikolas first make a mistake in his work?

A
Nikolas used the wrong formula for the volume of the prism.
B
Nikolas used the wrong measurements when finding the area of the base.
C
Nikolas did not make a mistake.
D
Nikolas made a computational error.
4

Which shows how to determine the volume of the pyramid?

A
cap v is equal to 1 third 3 3 5
B
cap v is equal to 1 third 3 5
C
cap v is equal to 1 half 3 3 5
D
cap v is equal to 1 half 3 5
5

Which statement is true about the given square pyramid?

A
The base has an area of 928 square inches.
B
The base has an area of 464 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

What is the total area of the surfaces that he needs to paint?

A
350 ft squared
B
230 ft squared
C
300 ft squared
D
214 ft squared
7

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

A
The volume of the pyramid 1 is greater by 8 in cubed .
B
The volume of the pyramid 1 is greater by 24 in cubed .
C
The volume of the pyramid 2 is greater by 24 in cubed .
D
The volume of the pyramid 2 is greater by 8 in cubed .
8

Which shape is pictured here?

A
rectangular prism
B
rectangular cylinder
C
rectangular pyramid
D
cube
9

What error did Regina make?

A
She should have used 1 half 9 point 4 11 point 9 to represent the area of a single triangle.
B
She should have multiplied all the terms inside the parentheses by 4 when she simplified.
C
She should have used 1 half 4 point 7 12 point 8 to represent the area of a single triangle.
D
She should have used a different collection of shapes as the net of the pyramid.
11

A wooden block in the shape of a rectangular prism is cut into two congruent pieces. Which statement best compares the surface areas of the pieces to the surface area of the original block?

A
The surface area of each piece is equal to the surface area of the original block minus the area of the face created by the cut.
B
The surface area of each piece is equal to the sum of half the surface area of the original block plus the area of the face created by the cut.
C
The surface area of each piece is equal to the sum of half the surface area of the original block plus half the area of the face created by the cut.
D
The surface area of each piece is equal to 1 half the surface area of the original block.
12

How is the volume of a prism calculated?

A
divide the area of the base by the height
B
add the area of the base to the height
C
multiply the area of the base by the height
D
subtract the area of the base from the height
14

Which figure is shown?

A
cone
B
prism
C
cylinder
D
pyramid

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