Question

A rectangular prism has a volume of 300 ft3. If the base measures 5 ft by 8 ft, what is the height of the prism?

Answer 1

`\bf \textit{volume of a rectangular prism}\\\\ V=Lwh~~ \begin{cases} L=length\\ w=width\\ h=height\\ ------\\ V=300\\ L=8\\ w=5 \end{cases}\implies 300=(8)(5)h \\\\\\ \cfrac{300}{(8)(5)}=h\implies \cfrac{15}{2}=h`

Answer 2

The height of the prism is 7.5 feet