How to find the volume of a prism - Math

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Question

A rectangular box has two sides with the following lengths:

and

If it possesses a volume of , what is the area of its largest side?

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Answer

The volume of a rectangular prism is found using the following formula:

If we substitute our known values, then we can solve for the missing side.

Divide both sides of the equation by 12.

We now know that the missing length equals 7 centimeters.

This means that the box can have sides with the following dimensions: 3cm by 4cm; 7cm by 3cm; or 7cm by 4cm. The greatest area of one side belongs to the one that is 7cm by 4cm.

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