How to Find Volume
This site is going to show you how to find volume in easy step by step stages.
What is volume?
Volume is the amount of space occupied by a three dimensional object. Any flat object with only two dimensions can have no volume. So a cube or a sphere have volume. But a square or a circle do not. They have surface area but not volume.
The easy way to think of volume is to imagine filling the object with water. The space taken up by that water is the volume.
We tend to talk of cubic volume because this is what volume actually is – a number of ‘cubes’ fitted into our 3D object. So a cube which is 1m high by 1m wide by 1m deep takes up 1 cubic meter of space / volume. It would hold 1 cubic meter of water. Lets suppose we then pour that water into a sphere of exactly the same volume. It is no longer cuboid in shape. But it is still 1 cubic meter in volume.
Make sure you understand this point before you read on……..
All the 3D shapes we are going to look at are regular shapes. We will use standard math formulas to find their volume. Some basic geometry will give us the answers we need.
How to find volume when dealing with iregular shapes.
Ever heard of Archimedes? He was an ancient Greek mathematician. He lived around 287 – 212 BC. One of his many discoveries was that of fluid displacement. Legend has it that he was having a bath at the time. Upon making his discovery he leapt out and ran naked through the streets shouting “Eureka!” This means “I have found it!”. But what is fluid displacement and of what interest is it to us?
Well Archimedes realised that when he got in the bath the water level rose. So the difference in levels was equal to the amount of space his body takes up. Or his body’s volume. So we can use the same principle today.
However, this is no theoretical experiment. We have to use the actual solid shape and emmerse it in water. The water (or what ever liquid is being used) must be in a container in which we can easily measure the change in level. This will work for any solid shape whether regular or irregular.
Lets use an example.
We have a small iregular shape of which we have to find the volume.
We take a 1 liter measuring jar and fill it to exactly 500 ml. We then immerse the object. The water level now reads 700 ml. So the water displacement is exactly 200 ml. One milliliter (ml) equals one centimeter (cm) cubed. So our object is exactly 200 cubic centimeters.
How to find volume when dealing with regular shapes
How to find volume of a:-
Find out more about how to find volume by searching for videos on youtube, or asking questions on ehow or wikipedia.