Posted by **Julie** on Sunday, September 26, 2010 at 3:54pm.

A cardboard box with an open top and a square bottom is to have a volume of 45 ft3 . Use a table utility to determine the dimensions of the box to the nearest 0.1 foot that will minimize the amount of cardboard used to construct the box.

- Pre-calc -
**MathMate**, Sunday, September 26, 2010 at 5:30pm
Let the side of the bottom square be x, and the height of the box, h.

The volume is x²h=45

or

h=45/x²

The total surface area (5 faces) is

S=x²+4(x*h)=x(x+4h)

Make a table of 3 columns, comprising x, h and S. The value of x could vary between 4 and 5 in 0.1 ft intervals.

## Answer This Question

## Related Questions

- math - a piece of cardboard is twice as it is wide. It is to be made into a box ...
- Calculus - dimensions of a box? - A rectangular box with a square bottom and a ...
- Calc - You want to make a rectangular box, open at the top, by cutting the same ...
- calculus - A closed cardboard box is made with a square top and bottom, and a ...
- Math - If 12 ft^2 of material is available to make a box with a square base and ...
- CALC - An open box is to be constructed so that the length of the base is 4 ...
- Math - A rectangular box with a square base of length x and height h is to have ...
- Calculus - A rectangular box is to have a square base and a volume of 20 ft3. If...
- calculus - A box is constructed out of two different types of metal. The metal ...
- College Algebra - a box with an open top is constructed from a rectangular piece...

More Related Questions