The volume of a Prism
The volume of a prism is calculated as:
[tex]V=\frac{1}{3}BH[/tex]
Where B is the area of the base and H is the height of the prism.
The base of the prism is a rectangle of 9 ft by 5.2 ft, thus its base area is:
[tex]B=9\text{ ft}\times5.2\text{ ft =46.8 }ft^2[/tex]
We are given the volume V = 655.2 cubic ft, thus we can find the height by solving for H:
[tex]\begin{gathered} H=\frac{3V}{B} \\ H=\frac{3\cdot655.2\text{ }ft^3}{46.8\text{ }ft^2} \\ H=42\text{ ft} \end{gathered}[/tex]
The height of the prism is 42 ft
