Posted by **steph** on Thursday, November 10, 2011 at 9:52pm.

an open box with a volume of 1500cm cubed is to be constructed by taking a piece of cardboard of 20 cm by 40 cm, cutting squares of sides length x cm from each corner and folding up the sides. show that this can be done in two ways, and find exact dimensions of the box in each case.

- pre-calc please help!! -
**Steve**, Friday, November 11, 2011 at 10:43am
Cutting an x-cm notch from each corner of the sheet, leaves a box (20-2x)x(40-2x). We want that volume to be 1500.

(20-2x)(40-2x) = 1500

4x^2 - 120x - 700 = 0

x = -5 or 35

so, a 30x50 box will fit the bill

The solution x=35 produces a box of negative dimensions.

## Answer this Question

## Related Questions

- Pre-Calc - An open box with a volume of 1500cm^3 is to be constructed by taking ...
- pre-calc - A box with an open top is to be constructed by cutting equal-sized ...
- Algebra - A box with no top is to be constructed from a piece of cardboard ...
- Algebra 2 - A box with no top is to be constructed from a piece of cardboard ...
- Calculus - A box with an open top is to be made from a square piece of cardboard...
- Math - A box with an open top is to be constructed from a rectangular piece of ...
- math - A box with no top is to be constructed from a piece of cardboard whose ...
- math - a piece of cardboard is twice as it is wide. It is to be made into a box ...
- calc - an open box is to be made from a 4 ft by 5 ft piece of cardboard by ...
- Math - An open box is to be made from a 11 inch by 11 inch piece of cardboad. ...

More Related Questions