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

Eli uses his garage to store the boxes he ships to customers from his online business. Each box is a cube and has a volume of one cubic foot. His garage is shaped like a rectangular prism and has a height of 7 feet. The floor of his garage is completely covered with a layer of 200 boxes. What is the volume of his garage?

cubic feet

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question

Vincent's grandma gave him cube-shaped boxes full of old family photos. Each box has a volume of one cubic foot. Vincent decides to store them for safe-keeping in a cedar chest shaped like a rectangular prism. The bottom of the cedar chest can be completely covered by a layer of 6 boxes. The entire cedar chest can be filled with 3 layers of boxes. What is the volume of the cedar chest?

cubic feet

solution

To find the volume of the cedar chest, you can multiply how many boxes are in the bottom layer by how many layers it takes to fill it.

There are 6 one-foot boxes in the bottom layer, and it takes 3 layers of boxes to fill the cedar chest.

It would take 18 boxes to fill the cedar chest. Each box has a volume of one cubic foot. So, the volume of the cedar chest is 18 cubic

feet.

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Lesson: Volume of rectangular prisms

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UU.3Volume of rectangular prisms made of unit cubes

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Lesson: Volume of rectangular prisms

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