# 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).

## School CPU height(h)=33cm length(l)=6cm width(w)=37cm 7326cm^3=7.326L | ## CD case height(h)=12cm length(l)=14cm width(w)=1cm 168cm^3=168mL | ## plastic case 7cm 3.5cm 3.5cm 85.75cm^3=8.575cL |

## 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?

## Activity:

Find the volume of a cube or boxed shape in the room in cubic meters, then convert it into Liters. (Remember, 1L=.1m^3.)