IXL | Volume of rectangular prisms made of unit cubes: word problems

Ellen works at an orchard picking apples. She puts them in cube-shaped crates that each have a volume of one cubic foot. She then stacks them into a bin that is shaped like a rectangular prism. The bottom of the bin can be completely covered by a layer of 12 crates. If the bin is 3 feet tall, what is its volume?

cubic feet

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question

Brad's pencil box is shaped like a rectangular prism. He fills the bottom of the pencil box with a layer of 80 one-centimeter cubes. If it takes 4 layers of cubes to fill the whole pencil box, what is its volume?

cubic centimeters

solution

To find the volume of the pencil box, you can multiply how many cubes are in the bottom layer by how many layers it takes to fill it.

There are 80 one-centimeter cubes in the bottom layer, and it takes 4 layers of cubes to fill the pencil box.

320

It would take 320 cubes to fill the pencil box. Each cube has a volume of one cubic centimeter. So, the volume of the pencil box is 320 cubic

centimeters.

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Lesson: Volume of rectangular prisms

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