IXL | Volume of cubes and rectangular prisms: multi-step word problems

Dwayne makes wooden cutting boards and is packing up a box for shipment to a store. Each cutting board is a rectangular prism that is 16 inches long, 12 inches wide, and 2 inches tall. He packs them into the box with no extra space, fitting 2 boards along its length, 2 boards along its width, and 6 boards along its height.

What is the volume of the box?

cubic inches

ref_doc_title.

Learn with an example

question

Albert is unpacking boxes of gloves at the hospital. Each glove box is a rectangular prism that is 10 inches long, 5 inches wide, and 3 inches tall. The glove boxes were packed into a larger crate with no extra space. The crate fits 5 glove boxes along its length, 5 along its width, and 6 along its height.

What is the volume of the crate?

cubic inches

solution

To find the volume of the crate, you can first find the volume of each box of gloves.

150 cubic inches

Next, find the number of glove boxes that fit in the crate. There will be 5 glove boxes along its length, 5 boxes along its width, and 6 boxes along its height. Multiply to find the total number of boxes.

150

Since the glove boxes are packed into the crate with no extra space, you can multiply the volume of each glove box by the number of boxes in the crate to find the volume of the crate.

150 cubic inches

150

22,500 cubic inches

The volume of the crate is 22,500 cubic

inches.

Looking for more? Try these:

Lesson: Volume of rectangular prisms

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

Teacher tools

Work it out

Not feeling ready yet? These can help:

UU.5Volume of cubes and rectangular prisms

Lesson: Volume of rectangular prisms

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!