Question 81296: Problem
Volume. The length, width, and height of a box are x, 2x, and 3x - 5 inches, respectively. Write a polynomial V(x) that represents its volume. Find V(3).
This is what I have.
V(x) = x^2(x + 2)(3x - 5)
When you put V(3) into the equation the volume= 180
I would appreciate any help with this question. Thank you.
Found 2 solutions by stanbon, Earlsdon:
Answer by stanbon(57424)   (Show Source):
You can put this solution on YOUR website!Volume. The length, width, and height of a box are x, 2x, and 3x - 5 inches, respectively. Write a polynomial V(x) that represents its volume. Find V(3).
This is what I have.
V(x) = x^2(2x)(3x - 5)
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Then V(3) = 3^2(2*3)(3*5-5) = 9*6*10 = 540 in^3
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Cheers,
Stan H.
Answer by Earlsdon(6291) (Show Source):
You can put this solution on YOUR website!Remember that the volume of a rectangular prism (a box) is given by:
In this case, you have:
L = x inches.
W = 2x inches.
h = (3x-5) inches.So the volume of the box in your problem can be expressed by the function:
 or
 so...
 cubic inches.
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