SOLUTION: cookies are packaged in boxes whose width is 2 cm less than the length, and the height is 5 cm more than double the length. determine the dimensions of the box that will give a vol

Question 1087412: cookies are packaged in boxes whose width is 2 cm less than the length, and the height is 5 cm more than double the length. determine the dimensions of the box that will give a volume of 33 cm^3
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the width in cm
= the length in cm
= the height in cm
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Let

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The dimensions are:
1 x 3 x 11
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I just guessed at
There may be another way to do this, but
I dont know what that would be
You can get another opinion

Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

cookies are packaged in boxes whose width is 2 cm less than the length, and the height is 5 cm more than double the length. determine the dimensions of the box that will give a volume of 33 cm^3

Let length be L
Then width = L - 2
Height = 2L + 5
We then get: L(L - 2)(2L + 5) = 33
According to the above equation, 3 factors have a PRODUCT of 33, and the only 3 INTEGRAL factors of 33 are: .
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