IXL | Relationship between volume and the area of the base: word problems

Judy works at a store that sells women's purses. The purses are shipped in boxes that are cube-shaped and have a volume of one cubic foot. Judy stacks the boxes in a storage closet that is shaped like a rectangular prism. It has a height of 7 feet, and its floor can be completely covered by a layer of 80 boxes. What is the volume of the closet?

cubic feet

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Learn with an example

question

Kiera's art box is shaped like a rectangular prism with a height of 3 inches. She fills the bottom of the box with a layer of 35 cube-shaped paint sponges. Each sponge has a volume of one cubic inch. What is the volume of the art box?

cubic inches

solution

To find the volume of the art box, you can multiply how many paint sponges are in the bottom layer by how many layers would fill it.

There are 35 one-inch paint sponges in the bottom layer. Since the art box is 3 inches tall, 3 layers would fill it.

105

105 one-inch paint sponges would fill the art box. So, the volume of the art box is 105 cubic

inches.

Looking for more? Try these:

Lesson: Volume of rectangular prisms

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UU.3Volume of rectangular prisms made of unit cubes

Lesson: Volume of rectangular prisms

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