Thursday
July 24, 2014

Homework Help: MATH help

Posted by HM on Sunday, September 18, 2011 at 9:54pm.

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



An answer-er came up with this solution>

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 ?




BUT

It is wrong the multiple choices for this question are >>>

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


and non of them match up to his answer..


WHERE ARE WE GOING WRONG?

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