SOLUTION: Melissa plans to ship a computer in a cubic box that measures x inches on a side. She later determines that her shipping cost will be less if she uses a retanguar box that is 3 inc
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Question 149486: Melissa plans to ship a computer in a cubic box that measures x inches on a side. She later determines that her shipping cost will be less if she uses a retanguar box that is 3 inches shorter and 5 inches longer than the cubic box. Write an equation v(x) for the volume of the new box.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
# 1
The volume of any rectangular box is . Since the height is "3 inches shorter " and the length is "5 inches longer than the cubic box" , this means that the height is and the length is . Note: the width remains at
So the volume of the rectangular box is
Start with the given equation.
Rearrange the terms.
FOIL to get
Distribute
So the volume of the rectangular box is
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