Question

the volume of a recrangular prism is 72 centimeters.the prism is 2 centimeters wide and 4 centimeters high. what is the length of the prism

Answer 1

The volume of a rectangular prism is given by:

`V=w\cdot l\cdot h`

We know that the volume is 72 cub cm, the width is 2 cm and the height is 4 cm. Plugging this value in the equation we have:

`72=2\cdot l\cdot4`

Solving the equation for l we have:

`\begin{gathered} 72=2\cdot l\cdot4 \\ 72=8l \\ l=(72)/(8) \\ l=9 \end{gathered}`

Therefore the lenght of the prism is 9 cm.