Posted by **Ashley** on Sunday, October 14, 2007 at 5:04pm.

In a rectangular piece of cardboard with a perimeter of 20ft, three parallel and equally spaces creases are made (so the piece is divided into four equal sections.) The cardboard is then folded to make a rectangular box with open square ends.

a. Write a formula for the volume of the box.

b. Find the domain of a.

- Math- Math Analysis -
**Reiny**, Sunday, October 14, 2007 at 5:48pm
.................

. . . . .

. . . . .

. . . . . y

. . . . .

.................

------4x-------

let the length of the original rectangle be 4x (so that each of the smaller rectangles is x )

let the width be y

After it is folded, the volume would be

y(x^2)

but 8x + 2y = 20

or y = 10 - 4x

so Volume = (10 - 4x)x^2

for b. you ask "what is the domain of a"

there is no a

- Math- Math Analysis -
**Reiny**, Sunday, October 14, 2007 at 5:50pm
looks like my diagram did not come out correctly.

It was supposed to be a large rectangle 4x by y, divided into 4 equal rectangles each x by y

- Math- Math Analysis -
**adam**, Wednesday, August 20, 2008 at 8:06pm
(-1,4)(5,8) into general equation form

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