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Converting units of Volume is one area in Maths that students make lots of mistakes as they haven't thought about the conversion factors.
When we are converting from, for example, metres into cm, we know that 1m = 100cm. This leads to the misconception that 1m3 = 100cm3. In reality, 1m3 = 1000000 cm3
Let's look at what's happening here. If we look at a cube that measures 1m on each side.
Looking at the areas of these two identical cubes, we can say that
1 m x 1 m x 1 m = 100 cm x 100 cm x 100 cm
1m3 = 1000000 cm3
Is there a trick?
In a way, yes, All you need to do for an area conversion is to find the conversion if it wa a length and then cube it to get the area conversion.
Example 1: Convert 1.4m3 into cm3.
We know that for a length 1m = 100cm
So for an area 1m3 = 1000000cm3.
1.4m3 = 1.4 x 1000000 = 14000000 cm3.
Example 2: Convert 350m3 into km3.
We know that for a length 1km = 1000m
So for an area 1km3 = 1000000000m3.
350m3 = 350 ÷ 1000000000 = 0.00000035 m2.