A storage unit in the shape of a rectangular prism has a volume of 72 ft3. The area of the base of the unit is 18 ft2. What is the volume of a similar unit whose height is 8 ft?

2 answers

18Ft^2*h1 = 72Ft^3
h1 = 72Ft^3/18Ft^2 = 4 Ft.

A = (8Ft/4Ft) * 18Ft^2 = 36 Ft^2 = Area
of the base.

V = A*h = 36Ft^2 * 8Ft = 288 Ft^3.
Correction:
A =(8/4)^2 * 18 = 72 Ft^2 = Area of the
base.
V = A*h = 72 * 8 = 576 Ft^3.

OR
V = (8/4)^3 * 72Ft^3 = 576 Ft^3.