SOLUTION: The volume of a rectangular prism is given by the formula V = lwh (length•width•height). What are the length, width, and height of the prism if the volume is 3x^3 + 9x^2 + 6x? Your

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: The volume of a rectangular prism is given by the formula V = lwh (length•width•height). What are the length, width, and height of the prism if the volume is 3x^3 + 9x^2 + 6x? Your      Log On


   



Question 928279: The volume of a rectangular prism is given by the formula V = lwh (length•width•height). What are the length, width, and height of the prism if the volume is 3x^3 + 9x^2 + 6x? Your answer will not have exact numeric dimensions but rather three algebraic terms that represent them.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
V+=+lwh
3x%5E3+%2B+9x%5E2+%2B+6x
3x%28x%5E2+%2B+3x+%2B+2%29
3x%28x%5E2+%2Bx%2B+2x+%2B+2%29
3x%28%28x%5E2+%2Bx%29%2B+%282x+%2B+2%29%29
3x%28x%28x+%2B1%29%2B+2%28x+%2B+1%29%29
3x%28x%2B+2%29%28x+%2B+1%29
if l=3x,w=%28x%2B+2%29, and h=%28x+%2B+1%29, your answer is:
V+=+3x%28x%2B+2%29%28x+%2B+1%29