Solve the problem.
-What are the dimensions of a rectangular box, open at the top, which has maximum volume when the surface area is 48 in. $^{2}$ ?
A) $x=4$ in., $y=2$ in., $z=2$ in.
B) $x=6$ in., $y=6$ in., $z=3$ in.
C) $x=8$ in., $y=2$ in., $z=6$ in.
D) $x=4$ in., $y=4$ in., $z=2$ in.

Question

Quizplus · Accepted Answer

To maximize the volume of an open-top box with a fixed surface area, the box should be a square base. Solving the equations for surface area and volume, the dimensions are $x=4$ in., $y=4$ in., $z=2$ in.

Solve the Problem 2^{2}2 ? A) x=4x=4x=4 In y=2y=2y=2 In z=2z=2z=2 In B) x=6x=6x=6 In y=6y=6y=6

Solve the Problem $^{2}$ ?
A) $x=4$ In $y=2$ In $z=2$ In
B) $x=6$ In $y=6$