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2020 AMC 10B Problem 2

Problem 2 of 25EasierGeometry

Carl has 55 cubes each having side length 1,1, and Kate has 55 cubes each having side length 2.2. What is the total volume of these 1010 cubes?

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Solution

A cube with side length ss has volume s3.s^3. Carl’s five cubes have total volume 5⋅13=5,5\cdot 1^3=5, and Kate’s five cubes have total volume 5⋅23=40.5\cdot 2^3=40. The total volume is 5+40=45.5+40=45. Thus, the correct answer is E .
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Tagged: volume · cube geometry

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