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)