Art of Problem Solving
AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy
Small live classes for advanced math
and language arts learners in grades 2-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

2007 AMC 12A Problems/Problem 2

Revision as of 09:01, 9 September 2007 by 1=2 (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

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

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=2007_AMC_12A_Problems/Problem_2&oldid=15961"