To find the volume of a rectangular prism, you have to multiply its length, width, and height following the formula:
[tex]V=l*w*h[/tex]If you know the volume, height, and width of the prism, you can use this formula to calculate the length.
- Write the formula in terms of the length (l), to do so you have to divide both sides by the product of w and h:
[tex]\begin{gathered} V=l*w*h \\ \frac{V}{w*h}=\frac{l*w*h}{w*h} \\ \frac{V}{w*h}=\frac{l*\bcancel{w*h }}{\bcancel{w*h }} \\ \frac{V}{w*h}=l \end{gathered}[/tex]The volume of the rectangular prism is V=840 in³, the height is h=6in, and the width is w=10in, use these values to find the length of the prism:
[tex]\begin{gathered} l=\frac{V}{w*h} \\ l=\frac{840}{10*6} \\ l=\frac{840}{60} \\ l=14in \end{gathered}[/tex]The length of the prism is 14 inches.
