SOLUTION: A box's (cubical) dimensions are increased by 1, 2, 3 inches respectively, and the capacity has increased 93 in.^3. Find the dimensions. Volume = Length * Width * Height. L

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Question 1134581: A box's (cubical) dimensions are increased by 1, 2, 3 inches respectively, and the capacity has increased 93 in.^3. Find the dimensions.
Volume = Length * Width * Height.
L + 1 * W + 2 * H + 3 = 93
Unsure how to continue.




Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

(x+1)*(x+2)*(x+3) - x^3 = 93.

Simplify, and you will get a quadratic equation for x, which is the original dimension of the cube.


Then solve it - and that's all.