The volume of the rectangular prism is 60x3 + 145x2 + 70x. factor to find the possible expressions for length, width and height of the prism.

The possible dimensions of the prism will be evaluated as follows:

60x3 + 145x2 + 70x

factoring out

factoring out 5x we get:

5x (12x^2+29x+14)

factoring the quadratic we get:

5x (3x+2) (4x+7)

hence the dimensions are:

5x by (3x+2) by (4x+7)