- #1

hiya99

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**help Calculus!**

## Homework Statement

got this question, and i need help. lost it lol. this is the sort of question i have to do for me assignment. Help in going through it

## Homework Equations

Hot metal storage tank: is rectangle with a square cross section

total surface area is: A=xSquared(4n+2) The Volume is:V=nxcubed

Too maximise effeciency by minimising heat loss through the surface, the tank needs to be designed for a maximum volume for any given surface area.

by eliminating (n) between the two equations, show that for this shape, the volume is maximum (dV/dx=0) when the total surface area A is 6x. Calculate the value of n for this maximum volume and hence calculate the maximum voume of the tank with a total surface area of

^{24m}

i have the question on sheet if u would like to read it properly cheers for any help