A new refrigerator measures 24 inches wide, 12 inches deep, and 72 inches tall externally. If the refrigerator is advertised as a 10 cubic foot refrigerator, how much space is taken up by the motor, insulation, and so on? Round your answer to the nearest cubic foot.
A) 134 $\mathrm { ft } ^ { 3 }$
B) 12 $\mathrm { ft } ^ { 3 }$
C) 1,728 $\mathrm { ft } ^ { 3 }$
D) 1,718 $\mathrm { ft } ^ { 3 }$
E) 2 $\mathrm { ft } ^ { 3 }$

Question

Quizplus · Accepted Answer

First, convert the external dimensions to cubic feet: $24 \times 12 \times 72 = 20,736$ cubic inches. Since there are $12^3 = 1,728$ cubic inches in a cubic foot, the external volume is $20,736 \div 1,728 \approx 12$ cubic feet. Subtracting the advertised 10 cubic feet of usable space, we find that $12 - 10 = 2$ cubic feet are taken up by the motor, insulation, and so on.

A New Refrigerator Measures 24 Inches Wide, 12 Inches Deep ft3\mathrm { ft } ^ { 3 }ft3

A New Refrigerator Measures 24 Inches Wide, 12 Inches Deep $\mathrm { ft } ^ { 3 }$