SOLUTION: A box of cereal measures 3 inches by 6 inches by 12 inches. The manufacturer plans to market a smaller box that measures 2 1/2 by 5 by 10 inches. By how much will the volume be red

Algebra ->  Average -> SOLUTION: A box of cereal measures 3 inches by 6 inches by 12 inches. The manufacturer plans to market a smaller box that measures 2 1/2 by 5 by 10 inches. By how much will the volume be red      Log On


   



Question 1160464: A box of cereal measures 3 inches by 6 inches by 12 inches. The manufacturer plans to market a smaller box that measures 2 1/2 by 5 by 10 inches. By how much will the volume be reduced?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

To get the volume of a box, we multiply the length width and height. I'll treat "2 & 1/2" as 2.5

A = old volume = 3*6*12 = 18*12 = 216 cubic inches
B = new volume = 2.5*5*10 = 12.5*10 = 125 cubic inches
C = difference in volumes = A - B = 216 - 125 = 91

The volume is reduced by 91 cubic inches.