SOLUTION: Be sure to show all work leading to your answers and simplify your answers whenever possible. 1. A shipping company offers various sized shipping boxes to its customers. Some of t

Question 934746: Be sure to show all work leading to your answers and simplify your answers whenever possible.
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.

a. Write an 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.

I need help. I don't understand at all how to do this, and I would like a good explanation of the answer. Thanks in advance.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a. Write an 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.
V = x^3+1
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b. Factor the sum of cubes.
(x+1)(x^2-x+1)
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c. Calculate the total volume of the two boxes if x = 3 feet.
V = 3^3+1 = 27+1 = 28 cu ft
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Cheers,
Stan H.
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