Prisms

Practice Questions

SAT Math › Prisms

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1

A rectangular prism has a length that is twice as long as its width, and a width that is twice as long as its height. If the surface area of the prism is 252 square units, what is the volume, in cubic units, of the prism?

2

Box

The shaded face of the above rectangular prism is a square. In terms of , give the surface area of the prism.

3

A rectangular prism has a length that is twice as long as its width, and a width that is twice as long as its height. If the surface area of the prism is 252 square units, what is the volume, in cubic units, of the prism?

4

A given cube with a volume of is split into two equal prisms. What is the volume of one of the prisms?

5

Box

The shaded face of the above rectangular prism is a square. In terms of , give the surface area of the prism.

6

A given cube with a volume of is split into two equal prisms. What is the volume of one of the prisms?

7

A rectangular prism has length 7, width 4, and height 4. What is the distance from the top back left corner to the bottom front right corner?

8

The length of a crate is three-fourths its height and two-thirds its width. The surface area of the crate is 12 square meters. To the nearest centimeter, give the length of the box.

9

A rectangular prism has length 7, width 4, and height 4. What is the distance from the top back left corner to the bottom front right corner?

10

The length of a crate is three-fourths its height and two-thirds its width. The surface area of the crate is 12 square meters. To the nearest centimeter, give the length of the box.

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