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Mensuration and Trigonometry

Quick questions on Volume and surface area of solids explained: N(A)-Level Mathematics Mensuration and Trigonometry

5short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is volume?
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Volume is the amount of space a solid occupies, measured in cubic units (cm3^3, m3^3). The main formulae are:
What is surface area?
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Surface area is the total area of all the outer faces, measured in square units. To find it, work out the area of each face and add them up.
What is capacity?
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Capacity is the volume a container can hold, usually given in litres or millilitres for liquids. A useful conversion is:
What is keeping units consistent?
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Work in a single unit throughout. If some lengths are in metres and others in centimetres, convert them all to the same unit before calculating, or the volume will be wrong by a large factor.
What is wrong capacity conversion?
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Remember 1000 cm3=11000\ \text{cm}^3 = 1 litre, so divide cubic centimetres by 10001000 to get litres.

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