(2)maximizing+volume+and+minimizing+surface+area.

EXAMPLE:
EXAMPLE:

A company is trying to choose between 2 boxes with the dimensions below. Which design has the greater surface area thus requirs more material for the same volume
A company is trying to choose between 2 boxes with the dimensions below. Which design has the greater surface area thus requirs more material for the same volume

the boxes above have a volume of 64 cubic inches.
the boxes above have a volume of 64 cubic inches.

the surface area of the square is 6(4)^2 = 96 cubic inches.
the surface area of the square is 6(4)^2 = 96 cubic inches.

The surfacea area of the rectangular prism is 2(2)(4) + 2(4)(8) + 2(2)(8) = 112 cubic inches.
The surfacea area of the rectangular prism is 2(2)(4) + 2(4)(8) + 2(2)(8) = 112 cubic inches.

the rectangular prism has the greater surface area.
the rectangular prism has the greater surface area. = =

= =