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.

Algebra.Com
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(35256)   (Show Source): You can put this solution on YOUR website!
Volume=length*width*height
foil the 1st 2 factors

Now 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.

So that's the volume of the box

Answer by cathieb1225(41)   (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.

RELATED QUESTIONS

I need to understand this by having it written out and simplified for me. Thank you.... (answered by nerdybill)
Please help me solve these problems> I am confused. PLEAS HELP ME!!!! 1)Find the... (answered by jayanthihemkos@yahoo.com)
Please help me I have tried to figure this problem out but I just don't know what I'm... (answered by MathLover1)
3. A rectangular box is (3x + 7) feet wide, (6x + 3) feet long, and (7x - 1) feet high.... (answered by Alan3354)
A rectangular box is (3x + 7) feet wide, (6x + 3) feet long, and (7x - 1) feet high. Find (answered by checkley77)
A rectangular box is (2x+7) feet wide, (5x+2)feet long and (x-4) feet high. Find the... (answered by vleith)
A rectangular box is(3x+7) feet wide, (6x + 3) feet long, and (7x-1)feet high. Find the (answered by scott8148)
if a box is 5 ft wide 4 feet long and 2 feet high, what is the... (answered by Fombitz)
find the volume of a rectangular prism that is 4 feet high, 6.5 feet wide, and 8 feet... (answered by praseenakos@yahoo.com,jayanthihemkos@yahoo.com)