SOLUTION: The width of a rectangular box is 3 times its height and its length is 2 more than its height. find the dimensions of the box if its volume is 288 cubic inches.

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Question 668450: The width of a rectangular box is 3 times its height and its length is 2 more than its height. find the dimensions of the box if its volume is 288 cubic inches.
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
The width of a rectangular box is 3 times its height
and its length is 2 more than its height.
its volume is 288 cubic
Translate into an equation:
lwh = 288 in^3
(x+2)(3x)x = 288
3x^3 + 6x^2 = 288
3x^3 + 6x^2 - 288 = 0
x^3 + 2x^2 -96 = 0 x = 4, one solution
using Synthetic Divsion
4 1 2 0 -96
4 24 96
1 6 24 0
results in: x^2 + 6x + 24 with imaginary roots
height is 4in, length 6in and width is 12in
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