Posted by **Jared** on Thursday, February 9, 2012 at 8:36pm.

a cereal maker is currently packaging cereal in cylindrical boxes with a 6" diameter and a height of 10". The cereal maker is considering changing to rectangular boxes. The two boxes need to have the same height to fit on the grocery store shelf and they need to have the same volume.

- math -
**Steve**, Thursday, February 9, 2012 at 9:42pm
v = pi * 36 * 10 = 360pi = 1131 in^3

Now you need a rectangular box 10" high with that volume. So, the base needs to have area 113.1 in^2

The rectangle using least material for an area is a square, so the box using least material will have a square base 10.6" square and 10" height

## Answer this Question

## Related Questions

- stat - You wanted to test whether the cereal boxes made by your plant conform to...
- Geometry - I need an example of two cereal boxes that have the same volume but ...
- math - If you buy 6 boxes of cereal for $ 10, how much will 9 boxes of cereal ...
- finite math - The weights of boxes of Brand Z cereal were found to be normally ...
- math - The weights of boxes of Brand Z cereal were found to be normally ...
- math - The weights of boxes of Brand Z cereal were found to be normally ...
- math - The weights of boxes of Brand Z cereal were found to be normally ...
- math - A cereal company finds that the number of people who will buy one of its ...
- math 12 - A manufacturer of cereal finds that the masses of cereal in a company'...
- Statistics - Reginald Brown an inspector from the department of weights and ...