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  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
x2
the height will be 1
Volume = (x+1)(x2)(1) = 180
x^2  x  2  180 = 0
x^2  x  182 = 0
(x14)(x+13) = 0
x = 14 or x = 13, but clearly x > 0
box is x+1 by x2 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
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