Determine the Dimensions of a Rectangular Solid (With a Square $\frac { 20 \sqrt { 6 } } { 3 }$

question 73

Multiple Choice

Determine the dimensions of a rectangular solid (with a square base) with maximum volume if its surface area is 400 square meters.

• A)square base side \(\frac { 20 \sqrt { 6 } } { 3 }\) ; height \(\frac { 20 \sqrt { 6 } } { 3 }\)
• B)square base side \(\frac { 20 \sqrt { 6 } } { 3 }\) ; height \(\frac { 10 \sqrt { 6 } } { 3 }\)
• C)square base side \(\frac { 10 \sqrt { 6 } } { 3 }\) ; height \(\frac { 20 \sqrt { 6 } } { 3 }\)
• D)square base side \(\frac { 10 \sqrt { 6 } } { 3 }\) ; height \(\frac { 10 \sqrt { 6 } } { 3 }\)
• E)square base side \(\frac { 200 \sqrt { 6 } } { 3 }\) ; height \(\frac { 10 \sqrt { 6 } } { 3 }\)

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