Posted by **Alex** on Monday, January 3, 2011 at 7:08pm.

You are given a 60 inch by 30 inch piece of cardboad and asked to make a six-sided box. If the cardboard is cut along the lines shown, what will the dimensions of the box with maximum volume?

The diagram looks as follows:

it is a rectangle with a shaded square in the top left and bottom left corners.....there is a shaded rectangle in the top right corner and bottom right corner....there is a shaded square to the left of the rectangle in the top right corner and the bottom right corner....in between the two shaded squares is an unshaded rectangle, both top and bottom....there are 2 horizonal lines that split the rectangle in 3 parts and there are 4 vertical lines that split the rectangle into four parts.

- see original post -
**MathMate**, Monday, January 3, 2011 at 9:59pm
http://www.jiskha.com/display.cgi?id=1294095457

- Calculus -
**Anonymous**, Friday, December 11, 2015 at 3:14pm
Suppose you want to make an open-topped box out of a 3 \times 6 index card by cutting a square out of each corner and then folding up the edges. How large a square should you cut out of each corner in order to maximize the volume of the resulting box?

## Answer This Question

## Related Questions

- Calculus - You are given a 60 inch by 30 inch piece of cardboad and asked to ...
- algebra - I have a piece of cardboard that is twice as long as it is wide .I f I...
- Calculus - From each corner of a square piece of cardboard, remove a square of ...
- Math - From a 10-inch-by-19-inch piece of cardboard, 3-inch-square corners are ...
- Math - An open box is to be made from a 11 inch by 11 inch piece of cardboad. ...
- calculus - An open box is to be made out of a 8-inch by 14-inch piece of ...
- Algebra - A box with a lid is to be cut out of a 12 inch by 24 inch sheet of ...
- MATH help - A box with no top is to be constructed from a piece of cardboard ...
- calculus - An open box is to be made out of a 10-inch by 14-inch piece of ...
- Calc - An open box is to be made out of a 10-inch by 16-inch piece of cardboard ...

More Related Questions