Question

A rectangular prism's base is 8 feet long. It is 2 1/2 times taller then it is long and 1/2 as wide as it is tall. What is the volume of the prism?

Answer 1

The volume is 640 ft3.

To find a volume of a rectangular prism is: $V=lwh$

Length: 8 feet

Width: $2w=8 \:\:\:\:\:\:w=\frac{8}{2} \:\:\:\:\:\: w=4$

Height: $h=\frac{5*8}{2}\:\:\:\:\:\:2h=40\:\:\:\:\:\:h=20$

Plug in the values and solve: $V=8*4*20=640$