SOLUTION: The dimensions of the rectagular prism are destined by functions f(x)=2x + 4 (length), w(x)=(x+3) width, and h(x) = 3x+1(height) What is the volume of the prism?

Algebra ->  Functions -> SOLUTION: The dimensions of the rectagular prism are destined by functions f(x)=2x + 4 (length), w(x)=(x+3) width, and h(x) = 3x+1(height) What is the volume of the prism?       Log On


   



Question 1085252: The dimensions of the rectagular prism are destined by functions f(x)=2x + 4 (length), w(x)=(x+3) width, and h(x) = 3x+1(height)
What is the volume of the prism?

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

The dimensions of the rectangular prism are destined by functions
f%28x%29=2x+%2B+4 ->(length),
w%28x%29=%28x%2B3%29 -> width, and
h%28x%29+=+3x%2B1+->(height)
the volume of the prism is
V=length%2Awidth%2Aheight
V=%282x+%2B+4%29%28x%2B3%29+%283x%2B1%29
V=%282x%5E2+%2B+10x+%2B+12%29+%283x%2B1%29
V=6x%5E3+%2B+32x%5E2+%2B+46x+%2B+12