Wednesday

August 20, 2014

August 20, 2014

Posted by **genevive** on Thursday, October 8, 2009 at 2:20pm.

by cutting equal squares from the four corners of an

11 inch by 14 inch sheet of cardboard and folding up the

sides. If the area of the base is to be 80 square inches, then

what size square should be cut from each corner?

- algebra -
**MathMate**, Thursday, October 8, 2009 at 2:43pmThe parts cut out (x) have to be square or else the heights of the box won't match.

The area of the base is to be 80 square inches.

The lengths and sides are 11 and 14, therefore the dimensions of the base would be (11-2x) and (14-2x).

We get the constraint / relationship:

(11-2x)(14-2x) = 80

Solve the quadratic equation for x.

Unfortunately the equation does not factor, so you will need the quadratic formula to solve it. It should be between 1.5 and 2.

**Related Questions**

Calculus - An open top box is made by cutting congruent squares from the corners...

calculus - An open box is to be made out of a 8-inch by 14-inch piece of ...

math - open top rectangular box made from 35 x 35 inch piece of sheet metal by ...

Math - Please help I have no Idea what to do here. A box with an open top is to ...

Math - An open box is to be made from a 11 inch by 11 inch piece of cardboad. ...

Calculus - A square sheet of cardboard with a side 16 inches is used to make an ...

Calculus - an open top box is to be made by cutting congruent squares of side ...

Algebra - A box with no top is to be constructed from a piece of cardboard ...

Math - A box with an open top is to be made by cutting 5-inch squares from the ...

MATH help - A box with no top is to be constructed from a piece of cardboard ...