SOLUTION: The area of one face of a certain prism is x^2 – 9 square cm. If its volume is x^6 – 729 cubic cm, determine the following: a. height of the prism b. possible length and wi

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Question 1011292: The area of one face of a certain prism is x^2 – 9 square cm. If its volume is x^6 – 729 cubic cm, determine the following:
a. height of the prism
b. possible length and width of the prism


Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
Depends on which face area is the x^2-9. Maybe this face has dimensions (x-9) and (x+9).

Height could be .

Look at the numerator.
.



The height could be, using that,


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