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2007 AMC 12A Problems/Problem 2

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Problem

An aquarium has a rectangular base that measures 100 cm by 40 cm and has a height of 50 cm. It is filled with water to a height of 40 cm. A brick with a rectangular base that measures 40 cm by 20 cm and a height of 10 cm is placed in the aquarium. By how many centimeters does the water rise?

Solution

The water has volume 100*40*40=160000. The brick has volume 8000. The water and the brick combined have a volume of 168000. The water rises

  • $\frac{168000}{4000}-\frac{160000}{4000}=42-40=2$ cm.


See also

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