Question

The length of the base of a rectangular prism is given as x + 4, and the width of the base is x +2. The height of the rectangular prism is three more than two times the length. Build a function to model the volume of the rectangular prism.

Answer 1

Answer:

  V(x) = (x +4)(x +2)(2x +11)

Step-by-step explanation:

For length L = (x+4), the height is ...

  2L +3 = 2(x+4) +3

  = 2x +8 +3

  = 2x +11

The volume is the product of length, width, and height, so is ...

  V = (x +4)(x +2)(2x +11)