Question

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?

$0.25$

$0.5$

$1$

$1.25$

$2.5$

Solution:

The base area of the aquarium is $100\cdot 40=4000 ext{ cm}^2$ .

The submerged rock displaces $1000 ext{ cm}^3$ of water, so the water level rises by $1000\div 4000=0.25$ cm.

Thus, A is the correct answer.

2006 AMC 8 Problem 21

Solution:

Problem 21 in Other Years