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April 18, 2014

Posted by **Mike** on Saturday, November 12, 2011 at 4:45am.

width of sheet= x

length of sheet = x+6

length of finished box = (x-10)

width of finished box = (x-16)

volume of the box = 8x^2-208x+1280cm^3

Find the dimensions of the sheet of cardboard needed to make a box with a volume of 1728cm^3.

- Maths - Algebra -
**Reiny**, Saturday, November 12, 2011 at 9:38amso

8x^2 - 208x + 1280 = 1728

8x^2 - 208x - 448 = 0

x^2 - 26x - 56 = 0

(x-28)(x+2) = 0

x = 28 or x = -2, but x cannot be negative,

x = 28**the box is 12 wide, 18 long and 8 high**

check: (12)(18)(8) = 1728

- Maths - Algebra -
**Anonymous**, Wednesday, November 28, 2012 at 7:45am12444

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