SOLUTION: the volume of a rectangular prism is modeled as P(x)=x^3-8x^2+15x. What is the volume of the rectangular prism? A.10 by 7 by 4 cu. units B. 10 by 8 by 3 cu. units C.10 by 7 by 5

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: the volume of a rectangular prism is modeled as P(x)=x^3-8x^2+15x. What is the volume of the rectangular prism? A.10 by 7 by 4 cu. units B. 10 by 8 by 3 cu. units C.10 by 7 by 5      Log On


   

Question 1172494: the volume of a rectangular prism is modeled as P(x)=x^3-8x^2+15x. What is the volume of the rectangular prism?
A.10 by 7 by 4 cu. units
B. 10 by 8 by 3 cu. units
C.10 by 7 by 5 cu.units
D.10 by 6 by 2 cu. units
help teachers
Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52800) About Me  (Show Source):
You can put this solution on YOUR website!
.

The volume of a rectangular prism is the product of its dimensions.



Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


P%28x%29+=+x%5E3-8x%5E2%2B15x+=+x%28x%5E2-8x%2B15%29+=+x%28x-3%29%28x-5%29

In every answer choice, the largest dimension, x, is 10; so the dimensions are x=10, x-3=7, and x-5=5.

ANSWER C: 10 by 7 by 5