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Volume: Comparing, adding and subtracting

Tutor: Alice

Volume: Comparing, adding and subtracting

​​In a nutshell

Volume is how you describe how much space an object occupies, or the capacity of an object. As it measures the size of objects in 3 dimensions, you use the units $cm^{3}$, $ml$​ or $l$​ to describe volume. You can use a submersion technique to find and compare volumes of objects.

Comparing volume

Bigger objects have greater volume, so a $100cm^{3}$ ball has a greater capacity than a $50cm^{3}$ pencil case. Remember that you can only compare volumes if they have the same unit; a $750cm^{3}$ bottle is not bigger than a $1l$​ water tank! Use this equation to convert between units:

$1000cm^{3} = 1000ml = 1l$

Adding and subtracting volume

PROCEDURE

 1 Make sure the units are the same. 2 Identify what the question is asking you: "Find the combined volume of ..." means summing the volumes. "What is the difference in volume between ..." means subtracting one volume from the other. 3 Convert the answer back into appropriate units (if required).
Example

What is the difference in volume between a $750cm^{3}$ juice bottle and a $1.5l$​ water bottle?

$1.5l = 1500 cm^{3}$​​

$1500- 750 =\underline{750cm^{3}}$

What is the combined volume of the juice and water bottle in millilitres?

$1.5l = 1500cm^{3}$

$1500 + 750 = \underline{2250ml}$

FAQs - Frequently Asked Questions

What are 3 possible units of volume?

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