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