The Base of a Rectangular Box Is to Be Twice

Multiple Choice

The base of a rectangular box is to be twice as long as it is wide. The volume of the box is 450 cubic inches. The material for the top costs $0.17 per square inch and the material for the sides and bottom costs $0.1 per square inch. Find the dimensions that will make the cost a minimum.

A) Dimensions are 9" by 10" by 12" (high) .
B) Dimensions are 11" by 22" by 12" (high) .
C) Dimensions are 5" by 10" by 9" (high) .
D) Dimensions are 9" by 18" by 5" (high) .
E) Dimensions are 12" by 24" by 11" (high) .