Help with Optimization Problem

1. Oct 11, 2005

wr1015

If an open box has a square base and volume of 108 in.3 and is constructed from a tin sheet, find the dimensions of the box, assuming a minimum amount of material is used in its construction.

don't even know where to start on this problem.

2. Oct 11, 2005

whozum

Find expressions describing the volume and surface area of the box, you want to maximize volume and minimized surface area.

3. Oct 12, 2005

hotvette

The key is to write what you are given in mathematical terms. For example, you can use V to indicate volume, A to indicate area, x and y to indicate the dimensions of the base and z to indicate the height.

1. Write an equation for V in terms of x, y, z. Hint: what do you know about x & y?

2. Write an equation for A in terms of x, y, z. Hint: the box is open

3. Combining 1 & 2 should give you an expression for A in terms of a single variable

4. You want to minimize A. Hint: in calculus what do you do w/ min/max problems?