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?

Answer 1

the height of the given prism = 72/18 = 4 ft

volumes of similar solids are proportional to the cube of their corresponding sides, so

x/72 = 8^3/4^3
x = 72(512)/64 = 576

or

8/4 = 2 , so the sides are twice as big
so the volume is 8 times as big (cubes of sides)
72*8 = 576