How many square centimetres make one square metre?
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
- How many square centimetres make one square metre?
- How many cubic millimetres make one cubic centimetre?
- A fish tank holds of water. How many litres is that? (.)
Need a reminder? The key ideaShow
To change a unit, multiply by a fraction that equals one, such as , so that the old unit cancels. A prefix goes with the unit's power:
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Plan. Raise the length factor to the power of the unit.
Step 1. Area. .
Step 2. Volume. .
Step 3. The tank. , so .
Answer: (a) . (b) . (c) .
Check. A litre is a cube on a side; a cubic metre holds of them. Good.
Watch out. is not : the factor must be squared.
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