How do you find minimum surface area of an open-top, square based, rectangular metal tank that will have a volume of 61 ft^3 ?

Question

amistre64 · Answer

how do we define surface area for the tank?  outside, or is inside included?

amistre64 · Answer

assuming it just means the outside, how would you propose we setup a formula for finding the volume and surface area of the tank to start with?

courtneygraley009 · Answer

You can use this online calculator to determine the surface area. This calculator is very easy to understand and use. http://www.acalculator.com/volume-conversion-calculator.html

lili.gallegos · Answer

thank you !

anonymous · Answer

please see my attached solution. I'm not good in typing...

anonymous · Answer

The squares width for a minimum surface area for a volume of 61 ft^3 is:$$w\to \sqrt[3]{122} $$ or 4.95968 to the nearest 0.00001 ft^3.

Refer to the attached file.