The Base of a Rectangular Box Is to Be Twice

question 46

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).

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Definitions:

Lead Away

To guide or direct someone or something away from a certain place.

Middle

The central point or part of something.

Impulses

Electrical or chemical signals transmitted through neurons that facilitate communication within the brain and between the brain and the rest of the body.

Center

A point of convergence or a central focal point.