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 rectangular box that is 3 i
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Question 199760: 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 rectangular 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 and match your result to the correct answer below.
A) V(x)=x^3-15xin^3
B) V(x)=x^3+2x-15in^3
C) V(x)=x^3-2x^2-15xin^3
D) V(x)=x^3+2x^2-15xin^3
Answer by tutor_paul(519) (Show Source): You can put this solution on YOUR website!
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The original box was a cube, so in that case length=width=height. So the volume of the cubic box is:
.
For the rectangular box, one dimension is 3 inches shorter (say length) and another dimension is 5 inches longer (say width). Nothing is said about the height being different. So for the rectangular box, the area is expressed as:
Simplifying...
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Good Luck,
tutor_paul@yahoo.com
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