Maths I

Measure and Shape

Volume - Test Bite

1.

In the calculations below use \pi = 3.14

2.

Work out the volume of this cuboid.

A cuboid. Height is 2 centimetres, width is 4 centimetres, length is 8 centimetres.

cm 3

3.

Work out the volume of this cuboid and give your answer in litres.

A cuboid. Height is 10 centimetres, length is 30 centimetres, and width is 20 centimetres.

litres

4.

Work out the volume of this cube.

A cube, each edge of which is 5 centimetres.

cm 3

5.

Work out the volume of this cube and give your answer in litres.

A cube, each edge of which is 20 centimetres.

litres

6.

Work out the volume of this cylinder.

A cylinder. Length is 20 centimetres, radius of circle is 5 centimetres.

cm 3

7.

Work out the volume of this cylinder.

A cylinder. Height is 10 millimetres and diameter is 8 millimetres.

mm 3

8.

Work out the volume of this prism.

A triangular prism. The length is 12 centimetres, the width is 8 centimetres and the height is 4 centimetres. The triangle is isoceles.

cm 3

9.

Work out the volume of this prism.

A triangular prism of a right angled triangle. The length is 8 centimetres, the height is 2 centimetres and the length of the base of the triangle shape is 5 centimetres.

cm 3

10.

The diagram shows the attic space at the top of the Millers' house.

A triangular prism. The length is 8.2 metres, the width of the triangle's base is 6 metres and the height is 2 metres. The triangle is isoceles.

Calculate the volume of the space.

m 3

11.

The diagram shows a gutter which is to be fitted to the roof of George's house. The gutter has a cross-section which is a semi-circle with diameter 20 cm. How many litres of water can the gutter hold?

A semi-circle prism. It is hollow on the inside, like a piece of guttering. The length is 10 metres, and the width, made up of the semi-circle's diameter, is 20 centimetres.

litres

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