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- Sep 25th 2009, 05:12 PM #1

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## help?

I am doing advance functions, which I think is pre-calculus. This is my question.

The volume, in cubic centimeters, of a square based box is given 9x^3 + 24x^2 - 44x + 16. Determine possible dimensions of the box if the area of the base, in square centimeters, is 9x^2 - 12x + 4. How do I find the answer?

- Sep 25th 2009, 05:25 PM #2

- Sep 25th 2009, 05:40 PM #3

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- Sep 25th 2009, 05:46 PM #4
For a regular solid, Volume = (Area of base) (Height). So it was only natural to try and factorise the volume function using the given area function as one of the factors.

By the way, you should note that the area function also factorises - perfectly ..... You need to factorise it so that you can get an expression for all dimensions (length, width and height).

- Sep 25th 2009, 06:00 PM #5

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- Sep 25th 2009, 06:10 PM #6

- Sep 26th 2009, 03:45 PM #7

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- Sep 26th 2009, 04:24 PM #8

- Sep 26th 2009, 06:48 PM #9

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- Sep 26th 2009, 06:57 PM #10

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I found out the answer the mathematical way. Would dividing the a value in the first one by the second one will always give me the correct answer for the Ax value for the new binomial? And would dividing the D value (the one without the x) give by the c value give me the answer for the second value? For example:

Therefore the binomial is (x+4).