Answer:

The volume of a rectangular prism is simply the product of its three dimensions: in your case, the volume of the prism is, given x , (x+6)(x−2)(x−1)

Answer:

what is the polynomial function in the standard for modeling the volume v of the rectangular box with 20 inches long and inches wide and 15 inches high if each dimension in is increased by x inches

The volume of a rectangular box like this is length x width x height.

So the new length will be 24 + x, the new width will be 12 + x, and the new height will be 18 + x.

So the new volume will be (24 + x)(12 + x)(18 + x).

Multiply these terms out and you will end up with a polynomial of degree 3.