1. A shipping company offers various sized shipping boxes to its customers. Some of these boxes are cube-shaped, with equal height, width and depth. As part of an upcoming sales promotion, the company will offer two cube shaped-boxes for the price of one.

Follow the directions to find the missing information in each problem. Be sure to show all work leading to your answers and simplify your answers whenever possible.

a. Write a expression to represent the total volume of two different sized boxes as a sum of cubes if one of the boxes has sides with a length of 1 foot and the other has sides with a length of x feet.

b. Factor the sum of cubes.

c. Calculate the total volume of the two boxes if x = 3 feet.