Calculus 10th Edition
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20
| PAGE: 221 | SET: Exercises | PROBLEM: 20 |
Please look in your text book for this problem Statement
Let 
be the length of each side of the base, 
be the height , and 
be the volume.
Since the rectangular solid has a square base, volume of the solid is 
.
Find the function in terms of .
Surface area 
.
.
Solve for .
.
Substitute in .
.
Differentiate on each side with respect to .
Find the critical numbers by equating derivative to zero.
.
Substitute in .
.
.
is maximum when 
and 
.
The dimensions are 
.
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