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
Answer This Question
Related Questions
 math  On a rectangular piece of cardboard with perimeter inches, three parallel...
 geometry  On a rectangular piece of cardboard with perimeter 11 inches, three ...
 College Algebra  On a rectangular piece of cardboard with perimeter 11 inches, ...
 Geometry  On a rectangular piece of cardboard with perimeter 11 inches, three ...
 Geometry  Ok Dr. Russ helped me find one part of the question, but I still can'...
 math  in a rectangular with a perimeter of 30 inches two parallel and equally ...
 math  in a rectangular with a perimeter of 30 inches two parallel and equally ...
 Calculus  Squares with sides of length x are cut out of each corner of a ...
 math  an open rectangular box is to be formed by cutting identical squares, ...
 math  The length of a rectangular piece of cardboard is three more than twice ...
More Related Questions