Question 373559
The length of a rectangular shaped box is 12 cm more than the height, and the width is 3 cm less than the height.  The volume is 324 cm^3.  Find the length, width, and height.
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h= x cm
L=x+12
width = x-3
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Volume V = 324 cm^3
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Volume V = L*W*H
x(x+12)(x-3)=324
x(x^2+9x-36)=324
x^3+9x^2-36x-324=0
(x-6)(x+6)(x+9)=0
take the positive root
h = 6
L= 18
W=3
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m.ananth@hotmail.ca