Quadratic Applications

Question

A PODS storage container has a volume of 768 cubic feet. The length is 8 feet. The width is four feet less than the height. Find the dimensions of the container.

Answer 1

Dividing out the length: 768 /8 = 96

96 = h(h-4)

96 = h^2 - 4h

0 = h^2 - 4h - 96

0 = ( h - 12 )(h + 8 )

h+8=0 is disqualified because it results in negative measures

h-12 = 0 ---> h = 12

length is 8, height is 12, width is 8