Solve the problem.
-A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of $56.5 \mathrm{ft}^{3}$. What dimensions yield the minimum surface area? Round to the nearest tenth, if necessary.
A) $10.6 \mathrm{ft}$ by $10.6 \mathrm{ft}$ by $0.5 \mathrm{ft}$
B) $4.8 \mathrm{ft}$ by $4.8 \mathrm{ft}$ by $2.4 \mathrm{ft}$
C) $5.5 \mathrm{ft}$ by $5.5 \mathrm{ft}$ by $1.8 \mathrm{ft}$
D) $3.8 \mathrm{ft}$ by $3.8 \mathrm{ft}$ by $3.8 \mathrm{ft}$

Question

Quizplus · Accepted Answer

To minimize the surface area of an open-top tank with a fixed volume, the base should be a square, and the height should be such that the surface area is minimized. For a volume of 56.5 ft³, the dimensions 4.8 ft by 4.8 ft by 2.4 ft yield the minimum surface area.

Solve the Problem 56.5ft356.5 \mathrm{ft}^{3}56.5ft3 What Dimensions Yield the Minimum Surface Area? Round to Rectangular

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