Question

A company need to package hazardous chemicals in special plastic rectangular prism containers that had 80 cubic feet. Find the whole number dimensions of the container that would use the least amount of plastic.

Answer 1

we know that
the cube is a prism rectangular with minimum surface area
then
Volume cube=b³=80-------------> b=4.31 ft

the problem is asking me for a whole number

therefore
b=4 ft------------> I assume a rectangular prism of square base
V=b²*h--------------> h=V/b²=80/4²=5 ft

the answer is 4 ft x 4 ft x 5 ft number dimensions of the container