Homework Help: Math

Posted by HM on Sunday, September 18, 2011 at 6:49pm.

A box with no top is to be constructed from a piece of cardboard whose Width measures x inch
and whose length measures 3 inch more than the width

the box is to be formed by cutting squares that measure 1 inch on each side of the 4 corners and then folding up the sides

If the volume of the box is 180 inch then what are the dimensions

Now I am trying to solve it through

Volume=L * W * Height

Length = 3+x
Width = x
Height 1inc
and Volume 180 inch

AM I wrong?

Math - HM, Sunday, September 18, 2011 at 7:48pm
Help?
Math - Reiny, Sunday, September 18, 2011 at 7:59pm
If you make a sketch you will see that the
length = 3+x - 2 = x+1
and the width is
x-2
the height will be 1
Volume = (x+1)(x-2)(1) = 180
x^2 - x - 2 - 180 = 0
x^2 - x - 182 = 0
(x-14)(x+13) = 0
x = 14 or x = -13, but clearly x > 0

box is x+1 by x-2 by 1
or
15 by 12 by 1

check: what is 15*12*1 ?
is the length of 15 greater than the width of 12 by 3 ?
Math - HM, Sunday, September 18, 2011 at 9:52pm
Thank you Reiny you are absolutely right with what you have but for some reason it does not match up to the answers in the multiple choice.

The multiple choice includes

1. 17 inch by 14 inch
2. 21 inch by 18 inch
3. 20 inch by 17 inch

Answer this Question

Related Questions

math - A box with no top is to be constructed from a piece of cardboard whose ...
MATH help - A box with no top is to be constructed from a piece of cardboard ...
math - a piece of cardboard is twice as it is wide. It is to be made into a box ...
Math - An open box is to be made from a 11 inch by 11 inch piece of cardboad. ...
Calculus - From each corner of a square piece of cardboard, remove a square of ...
Calculus - A box with an open top is to be made from a square piece of cardboard...
Math - Please help I have no Idea what to do here. A box with an open top is to ...
Math - A piece of cardboard has a length of 60cm and a width of 40cm. In order ...
math - A box with a square base and no top is to be made from a square piece of ...
algebra - I have a piece of cardboard that is twice as long as it is wide .I f I...

For Further Reading

First Name:
School Subject:
Answer: