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Unit 4: Length, Area and Volume

GCSE Higher Tier 1

4.4 Volume of a Prism

Keywords:AreaCross-sectionPrismI can recognise the formulae for the volume of prisms.I can calculate the volume of a prism.I can solve complex problems involving the volume of prisms.

Find the arc length and area of each of these sectors:

A prism is a 3D shape which has the same cross-section running all the way through it.

Name:

Cross-section:

Cuboid

Square

Triangular Prism

Triangle

Cylinder

Circle

Hexagonal Prism

Hexagon

Try this oneFind the volume of the triangular prism.

7cm5cm9cm

4.5m2.3mIn 2009, the sculptor Anish Kapoor exhibited a work called Svayambh at the Royal Academy in London. It was a block of red wax in the shape of a prism.

The cross-section was in the shape of an arched entrance.

It was 8m long and weighed 30 tonnes. It slowly travelled through the galleries on a track.

Calculate the volume of wax used.

1.7m70cmA horse trough is in the shape of a semi-circular prism as shown. What volume of water will the trough hold when it is filled to the top? Give your answer in litres.