IXL | Volume of cubes and rectangular prisms: word problems

Brown Deer Middle School ordered a new deep freezer to store frozen desserts in the lunchroom. The freezer is 6 feet long, 2 feet wide, and 3 feet deep.

Which equation can you use to find the volume of the freezer,

What is the volume of the freezer?

cubic feet

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Learn with an example

question

Students in Mrs. Johnson's class can win prizes like colorful pencils and fun-shaped erasers for performing acts of kindness. Mrs. Johnson displays the prizes in a glass case shaped like a rectangular prism. It has a length of 18 inches, a height of 3 inches, and a volume of 270 cubic inches.

Which equation can you use to find the width of the prize case,

270

What is the width of the prize case?

inches

key idea

The volume of a rectangular prism V is the product of its length

ℓ,

width

and height

ℓ

solution

The prize case is shaped like a rectangular prism. Its length is 18 inches, its height is 2 inches, and its volume is 270 cubic inches.

To find the width of the prize case,

you can use the formula for the volume of a rectangular prism.

ℓ

270

Solve for

270

Multiply 18 by 3

270

Divide both sides by 54

Simplify

The width of the prize case is 5

inches.

Looking for more? Try these:

Lesson: Volume of prisms

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Lesson: Volume of prisms

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