Question

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?

$0.5$

$1$

$1.5$

$2$

$2.5$

Answer: D

Concepts:volume rectangular prism

Difficulty rating: 1020

Solution:

The brick has a volume of $40\cdot 20\cdot 10=8000$ cubic centimeters.

If the water rises by $h$ centimeters, the added volume is $100\cdot 40\cdot h=4000h$ cubic centimeters.

Setting this equal to the brick's volume gives $8000=4000h,$ so $h=2.$

Thus, the correct answer is D.

2007 AMC 12A Problem 2

Answer: D

Difficulty rating: 1020

Solution:

Problem 2 in Other Years