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Maths I

Volume

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The volume of a prism

The volume of a prism

A prism is a solid shape which has the same cross-section all the way through.

A cylinder, a cuboid and a triangular prism.

These shapes are prisms.

A cone and a square based pyramid.

These shapes are not prisms.

For any prism:

Volume = Area of base x height

This shape is a triangular prism so the area of the base is the area of a triangle.

A triangular prism. It is 12 centimetres in length, 4 centimetres in height and the base of the triangle shape is 6 centimetres.

Area of the triangle:

= {1 \over 2} \times 6 \times 4

= 12cm^2

Volume of the prism = Area of base x height

= 12 \times 12

= 144cm^3

To convert litres to {cm^3}, we multiply by {1000}

{5} litres = {5 \times 1000 = 5000cm^3}

{23.6} litres = {23.6 \times 1000 = 23,600cm^3}

To convert {cm^3} to litres, we divide by {1000}

{8000cm^3 = 8l}

{125,000cm^3 = 12.5l}

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Watch

A Legoland model maker.

Class Clips

Video clip about how the chief model maker at Legoland uses volume calculations at work

Play

A picture of Mia Cadaver

Tombstone Timeout

Swot up your sums with Mia Cadaver's maths game

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