IXL | Volume of cubes and rectangular prisms: word problems

Pyrite is also called fool's gold because it is often mistaken for gold. Santiago finds a pyrite crystal that is shaped like a cube and measures 4 millimeters on each side. What is the volume of the pyrite crystal?

cubic millimeters

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Learn with an example

question

A freight train rumbles by as Bob watches. Each freight container on the train is shaped like a rectangular prism 17 meters long, 3 meters wide, and 3 meters tall. What is the volume of a freight container on that train?

cubic meters

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 a freight container, first find its length, width, and height.

The length 𝓁 of a freight container is 17 meters. The width w and the height h are both 3 meters.

𝓁 = 17 meters
w = 3 meters
h = 3 meters

Write the formula for the volume of a rectangular prism.

Plug in the values for 𝓁,

and

Then, multiply.

153

The volume of a freight container on the train is 153 cubic

meters.

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Lesson: Volume of rectangular prisms

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Lesson: Volume of rectangular prisms

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