Problem

2006 AMC 8 Problem 21

An aquarium has a rectangular base that measures 100 cm by 40 cm and has a height of 50 cm. The aquarium is filled with water to a depth of 37 cm. A rock with volume 1000 \text{ cm}^3 is then placed in the aquarium and completely submerged. By how many centimeters does the water level rise?

\textbf{(A)}\ 0.25\qquad\textbf{(B)}\ 0.5\qquad\textbf{(C)}\ 1\qquad\textbf{(D)}\ 1.25\qquad\textbf{(E)}\ 2.5


Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.


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