Determine the volume of one rectangiular prism v (x) = 54x^3+264x^2-738x+420?

We have

v (x) = 54x^3+264x^2-738x+420, and the sum of coefficients are

54+264-738+420=0, so 1 is a zero of v (x), it means v (1) = 0

so v (x) can be written as v (x) = (x-1) Q (x)

and obviously, Q (x) = v (x) / (x-1)

Q (x) = 54x^3+264x^2-738x+420 / (x-1) = (6x+42) (9x-10)

v (x) = (x-1) (6x+42) (9x-10)

the volume of rectangular prism is V = LxWxH

we can assume tha L=x-1, W=6x+42 and H = 9x-10