Metric system/Dimensional Analysis
by Sean Antaya
Part 1: Volume
- Volume is the amount of space that a substance or object occupies, or that is enclosed within a container.
- Volume is usually measured in liters, or meters cubed (1 liter=1000cm3). A liter is based on the space occupied by one Kg of pure water (which is equivalent to 1 decimeter cubed).
Part 2: Dimensional Analysis
You can use Dimensional Analysis a lot in real life. here are some basic examples.
- say you're filling a swimming pool that holds 24000 liters, and you're American and don't know the metric system. This means you must covert liters to gallons. (1Gal.=3.785L)
- you know the volume of a box in meters^3, but you are need to know how many liters would fit in the box.
- Lets say you move to Europe, and you are driving down the road. the speed limit is 50km/h. You bought your car in America, so the speedometer is in Mi/h. How do you know how fast that is without dimensiional analysis?
Find the volume of a cube or boxed shape in the room in cubic meters, then convert it into Liters. (Remember, 1L=.1m^3.)