- #1

BOAS

- 553

- 19

## Homework Statement

An open tank is constructed with a square base and vertical sides to hold 32m

^{3}of water. Find dimensions of the tank if the area of the sheet metal used to make it is to have a minimum value.

## Homework Equations

## The Attempt at a Solution

I'm not entirely sure of how to approach this problem beyond needing to use the second derivative. I think I need to construct an expression of the area related to volume.

So,

the sides pf the base, x multiply together to give an area x

^{2}and the four sides can be called 4xh (side of the base multiplied by height)

x

^{2}+ 4xh is an area of sheet metal

x

^{2}h = 32

I don't know how to proceed.

Thank you for any help you can offer