Posted by **CMM** on Tuesday, October 12, 2010 at 5:13pm.

An open box (has a bottom but no top) needs to be constructed which has a volume of 500 cu. in. The bottom of the box is to be a square. Let x be one of the sides of the bottom. Express the area of the four sides and bottom of box as a function of x alone. What value of x will make the total area of the 4 sides and the bottom of the box as small as possible? (that is, gives the box that uses the least amount of material to build and has a volume of 500).

Please help and explain. I have an exam shortly and a similar question will be on it.

## Answer this Question

## Related Questions

- calculus - A rectangular box is to be constructed from two different materials. ...
- Calc - A rectangular box, with a square base and open at the top is to be ...
- Pre-calc - A cardboard box with an open top and a square bottom is to have a ...
- Calc - A closed box with a square base is to be constructed so that its volume ...
- calculus - A box of volume 72m^3 with square bottom and no top constructed out ...
- Calculus - dimensions of a box? - A rectangular box with a square bottom and a ...
- calc - What function should be used to maximize the volume of an open box that ...
- calculus - A box is constructed out of two different types of metal. The metal ...
- calculus - This is problem 16 Section 4.6 page 246. A closed box with square ...
- math - a piece of cardboard is twice as it is wide. It is to be made into a box ...