SOLUTION: A cubic support unit in a television is made with a side measuring 2.5 centimeters. A new model being designed for the upcoming year will have a larger cube with a side measuring 2
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Question 152032: A cubic support unit in a television is made with a side measuring 2.5 centimeters. A new model being designed for the upcoming year will have a larger cube with a side measuring 2.8 centimeters. By how much will the volume of the cube be increased?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
A cubic support unit in a television is made with a side measuring 2.5 centimeters. A new model being designed for the upcoming year will have a larger cube with a side measuring 2.8 centimeters. By how much will the volume of the cube be increased?
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Once you hear that it is "cubic", you should realize that it is a square cube -- all sides are equal.
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"increase in volume" = "vol of new cube" - "vol of old cube"
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"vol of old cube" = 2.5^3 = (2.5)(2.5)(2.5) = 15.625 cubic centimeters
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"vol of new cube" = 2.8^3 = (2.8)(2.8)(2.8) = 21.952 cubic centimeters
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therefore:
"increase in volume" = "vol of new cube" - "vol of old cube"
"increase in volume" = 21.952 - 15.625 = 6.327 cubic centimeters
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