Posted by **Jane** on Thursday, March 1, 2012 at 11:15am.

A rectangular prism has a volume of

4x(cubed) + 30 x(squared) +36x. What linear expressions can represent possible dimensions of the prism?

Please explain.

- math -
**MathMate**, Thursday, March 1, 2012 at 4:10pm
The volume factors into four linear factors:

2x(x+6)(2x+3)

Since we need three values for the dimensions of the prism, so there are

C(4,2)=6 sets of dimensions, i.e. choose 2 factors out of 4 to reduce to one dimension. The two other dimensions will be used as is.

Example dimensions are:

2x (x+6) (2x+3)

2 x(x+6) (2x+3)

x 2(x+6) (2x+3)

...

up to 6 sets.

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