Prisms

Practice Questions

ACT Math › Prisms

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1

Find the diagonal of a right rectangular prism if the length, width, and height are 3,4, and 5, respectively.

2

Find the diagonal of a right rectangular prism if the length, width, and height are 3,4, and 5, respectively.

3

Sturgis is in charge of designing a new exhibit in the shape of a rectangular prism for a local aquarium. The exhibit will hold alligator snapping turtles and needs to have a volume of . Sturgis knows that the exhibit will be long and go back into the wall.

What will the height of the new exhibit be?

4

A rectangular prism has the following dimensions:

Length:

Width:

Height:

Find the volume.

5

Sturgis is in charge of designing a new exhibit in the shape of a rectangular prism for a local aquarium. The exhibit will hold alligator snapping turtles and needs to have a volume of . Sturgis knows that the exhibit will be long and go back into the wall.

What will the height of the new exhibit be?

6

A rectangular prism has the following dimensions:

Length:

Width:

Height:

Find the volume.

7

If the dimensions of a right rectangular prism are 1 yard by 1 foot by 1 inch, what is the diagonal in feet?

8

Sturgis is in charge of designing a new exhibit in the shape of a rectangular prism for a local aquarium. The exhibit will hold alligator snapping turtles and needs to have a volume of . Sturgis knows that the exhibit will be long and go back into the wall.

If three-quarters of the exhibit's volume will be water, how high up the wall will the water come?

9

Sturgis is in charge of designing a new exhibit in the shape of a rectangular prism for a local aquarium. The exhibit will hold alligator snapping turtles and needs to have a volume of . Sturgis knows that the exhibit will be long and go back into the wall.

If three-quarters of the exhibit's volume will be water, how high up the wall will the water come?

10

If the dimensions of a right rectangular prism are 1 yard by 1 foot by 1 inch, what is the diagonal in feet?

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