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Using volume to calculate side length for a rectangular prism

If we know the volume and two of the side lengths for a rectangular prism, we can calculate the third side length. We divide the volume by the product of the two known side lengths.

Example 1

A rectangular prism has volume 56 m3, length 2 m and width 4 m. What is its height?


\begin{align}\text{Volume}&=\text{length}\ ×\ \text{width}\ ×\ \text{height}\\\\ \text{So, Height}&=\dfrac{\text{volume}}{\text{length}\ ×\ \text{width}}\\\\ &=\dfrac{56}{2×4}\\\\ &=\dfrac{56}{8}\\\\ &=7\ \text{m}\end{align}

The height of a rectangular prism with volume 56 m3, length 2 m and width 4 m is 7 m.


The volume of a rectangular box in cubic centimetres is the number of 1 cm × 1 cm × 1 cm cubes that fit inside it.

The formula for calculating the volume of a rectangular prism is:

Volume = length × width × height