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Solve the Problem 56.5ft356.5 \mathrm{ft}^{3} What Dimensions Yield the Minimum Surface Area? Round to Rectangular

Question 101

Multiple Choice

Solve the problem.
-A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 56.5ft356.5 \mathrm{ft}^{3} . What dimensions yield the minimum surface area? Round to the nearest tenth, if necessary.


A) 10.6ft10.6 \mathrm{ft} by 10.6ft10.6 \mathrm{ft} by 0.5ft0.5 \mathrm{ft}
B) 4.8ft4.8 \mathrm{ft} by 4.8ft4.8 \mathrm{ft} by 2.4ft2.4 \mathrm{ft}
C) 5.5ft5.5 \mathrm{ft} by 5.5ft5.5 \mathrm{ft} by 1.8ft1.8 \mathrm{ft}
D) 3.8ft3.8 \mathrm{ft} by 3.8ft3.8 \mathrm{ft} by 3.8ft3.8 \mathrm{ft}

Correct Answer:

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