SOLUTION: Help please I really appreciate it. A rectangular box is (4x + 3) feet wide, (5x - 2) feet long, and (3x + 2) feet high. Find the volume of this box.

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Question 74395: Help please I really appreciate it.
A rectangular box is (4x + 3) feet wide, (5x - 2) feet long, and (3x + 2) feet high. Find the volume of this box.

Found 2 solutions by jim_thompson5910, cathieb1225:
Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
Volume=length*width*height
Volume=%285x-2%29%284x%2B3%29%283x%2B2%29foil the 1st 2 factors
Volume=%2820x%5E2%2B15x-8x-6%29%283x%2B2%29
Volume=%2820x%5E2%2B7x-6%29%283x%2B2%29Now multiply the two remaining factors. You're going to multiply every term in the left parenthesis by 3x and every term in the left parenthesis by 2.
Volume=60x%5E3%2B21x%5E2-18x%2B40x%5E2%2B14x-12
Volume=60x%5E3%2B61x%5E2-4x-12So that's the volume of the box

Answer by cathieb1225(41) About Me  (Show Source):
You can put this solution on YOUR website!
V=LWH
V=(5x-2)(4x+3)(3x+2)
First, multiply the first two sets of terms.
V=(20x^2+15x-8x-6)(3x+2)
Combine like terms in the first set of parentheses
V=(20x^2+7x-6)(3x+2)
V=60x^3+40x^2+21x^2+14x-18x-12
Now combine the like terms
V=60x^3+61x^2-4x-12
Take your time when doing this sort of problem so you don't miss anything. After multiplying it all out, it may make it easier to combine the like terms by rewriting the expression with all of the like terms beside each other if they don't fall into line like they did in this problem.