Determine the Dimensions of a Rectangular Solid (With a Square $\frac { 23 \sqrt { 6 } } { 3 } \times \frac { 23 \sqrt { 6 } } { 3 } \times \frac { 23 \sqrt { 6 } } { 6 }$

question 79

Multiple Choice

Determine the dimensions of a rectangular solid (with a square base) with maximum volume if its surface area is 529 square meters.

• A)Dimensions: \(\frac { 23 \sqrt { 6 } } { 3 } \times \frac { 23 \sqrt { 6 } } { 3 } \times \frac { 23 \sqrt { 6 } } { 6 }\)
• B)Dimensions: \(\frac { 23 \sqrt { 6 } } { 6 } \times \frac { 23 \sqrt { 6 } } { 6 } \times \frac { 23 \sqrt { 6 } } { 3 }\)
• C)Dimensions: \(\frac { 23 \sqrt { 6 } } { 3 } \times \frac { 23 \sqrt { 6 } } { 3 } \times \frac { 23 \sqrt { 6 } } { 3 }\)
• D)Dimensions: \(\frac { 23 \sqrt { 6 } } { 6 } \times \frac { 23 \sqrt { 6 } } { 6 } \times \frac { 23 \sqrt { 6 } } { 6 }\)
• E)Dimensions: \(\frac { 529 \sqrt { 6 } } { 6 } \times \frac { 529 \sqrt { 6 } } { 6 } \times \frac { 23 \sqrt { 6 } } { 6 }\)

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