SOLUTION: width x+1 lenth x+1 Height x+4 Which expression represents the volume of the prism? x^3 +4 x^3 +6x^2+9x+4 x^3+9x^2+6x+4 x^3+4x^2+x+4

Algebra ->  Surface-area -> SOLUTION: width x+1 lenth x+1 Height x+4 Which expression represents the volume of the prism? x^3 +4 x^3 +6x^2+9x+4 x^3+9x^2+6x+4 x^3+4x^2+x+4      Log On


   

Question 445138: width x+1 lenth x+1 Height x+4
Which expression represents the volume of the prism?
x^3 +4
x^3 +6x^2+9x+4
x^3+9x^2+6x+4
x^3+4x^2+x+4
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

width W=x%2B1
lenth L=x%2B1
Height H=x%2B4
x^3+9x^2+6x+4
V=WLH=%28x%2B1%29%28x%2B1%29%28x%2B4%29 ...multiply first two
V=%28x%5E2%2Bx%2Bx%2B1%29%28x%2B4%29 .now multiply these two
V=x%5E3%2Bx%5E2%2Bx%5E2%2Bx%2B4x%5E2%2B4x%2B4x%2B4
V=x%5E3%2B6x%5E2%2B9x%2B4
so, the answer is
x%5E3+%2B6x%5E2%2B9x%2B4