IXL | Volume of cubes and rectangular prisms: word problems

The Mango Mania Drinks Company has a new design for their juice boxes. Each box will have a square base with an area of 22 square centimeters. The height will be 12 centimeters. What is the volume of one of these new juice boxes?

cubic centimeters

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question

In cooking class, Aisha measures a stick of butter. It is 13 centimeters long, 3 centimeters wide, and 3 centimeters tall. What is the volume of the stick of butter?

cubic centimeters

key idea

This is a formula for the volume of a rectangular prism:

This is another way to write the formula:

solution

To find the volume of the stick of butter, first find its length, width, and height.

The length 𝓁 of the butter is 13 centimeters. The width w and the height h are both 3 centimeters.

𝓁 = 13 centimeters
w = 3 centimeters
h = 3 centimeters

Write the formula for the volume of a rectangular prism.

Plug in the values for 𝓁,

and

Then, multiply.

117

The volume of the stick of butter is 117 cubic

centimeters.

Looking for more? Try these:

Lesson: Volume of rectangular prisms

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UU.5Volume of cubes and rectangular prisms

Lesson: Volume of rectangular prisms

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