Difference between revisions of "2007 AMC 12A Problems/Problem 2"
Baijiangchen (talk | contribs) (→Solution) |
|||
| Line 5: | Line 5: | ||
== Solution == | == Solution == | ||
| − | The water | + | The brick has volume 8000. The base of the aquarium has area 4000. For every inch, the water rises, the volume increases by 4000 cm<math>^2</math>; therefore, when the volume increases by 8000 cm<math>^3</math>, the water level rises 2<math> cm </math>\Rightarrow\fbox{D}$ |
== See also == | == See also == | ||
Revision as of 21:52, 18 February 2012
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 brick has volume 8000. The base of the aquarium has area 4000. For every inch, the water rises, the volume increases by 4000 cm
; therefore, when the volume increases by 8000 cm
, the water level rises 2
\Rightarrow\fbox{D}$
See also
| 2007 AMC 12A (Problems • Answer Key • Resources) | |
| Preceded by Problem 1 |
Followed by Problem 3 |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
| All AMC 12 Problems and Solutions | |
