Starter Activity: Perimeter 1 Calculate the distance around this shape (all angles are right angles)

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Presentation transcript:

Starter Activity: Perimeter 1 Calculate the distance around this shape (all angles are right angles)

2 What Is Volume ? The volume of a solid is the amount of space inside the solid. Consider the cylinder below: If we were to fill the cylinder with water the volume would be the amount of water the cylinder could hold

3 Measuring Volume. Volume is measured in cubic centimetres (also called centimetre cubed). Here is a cubic centimetre It is a cube which measures 1cm in all directions. 1cm We will now see how to calculate the volume of various prisms.

Key concepts of Volume of Prisms 4 A Prism Cylinder Cuboid Triangular Prism Trapezoid Prism Volume of Prism = length x Cross-sectional area Cross section

Key concepts of Volume of Prisms 5 Area Formulae r h b b h h b a h b b a b Area Circle = π x r 2 Area Rectangle = Breadth x Height Area Trapezium = ½ x (a + b) x h Area Triangle = ½ x Base x height

Key concepts of Volume of Prisms 6 Volume Cube Prism 5.3cm 7.2cm 10.6cm Cross-sectional Area = B x H = 7.2 x 5.3 = 38.16cm 2 DO NOT ROUND! Volume = Length x Cross-sectional Area = 10.6 x = 404.5cm 3 USE ‘ANS’! Note that there are 3 dimensions so the units are cubic m or cm.

7 What Goes In The Box ? You Try! Calculate the volumes of the cuboids below: (1) 14cm 5 cm 7cm (2) 3.4cm (3) 8.9 m 2.7m 3.2m 76.9 m 3 490cm cm 3

Key concepts of Volume of Prisms 8 Volume Triangular Prism 8.6cm 6.2cm 4.1cm Cross-sectional Area = ½ x b x h = ½ x 8.6 x 4.1 DO NOT ROUND! = 17.63cm 2 Volume = length x Cross-sectional Area = x 6.2 = 109.3cm 3 USE ‘ANS’! Note that there are 3 dimensions so the units are cubic m or cm.

Key concepts of Volume of Prisms 9 Volume Trapezoid Prism 1.7cm 8.2cm 6.3cm 4.9cm Cross-sectional Area = ½ x(a + b) x h = ½ x ( ) x 4.9 DO NOT ROUND! = 19.6cm 2 Volume = length x Cross-sectional Area = 8.2 x 19.6 = 160.7cm 3 USE ‘ANS’! Note that there are 3 dimensions so the units are cubic m or cm.

Key concepts of Volume of Prisms 10 Volume Cylinder 5cm 3cm Cross-sectional Area = π x r 2 = π x 3 2 = …..cm 2 Volume = length x Cross-sectional Area = 5 x …. = 141.4cm 3 DO NOT ROUND! USE CALCULATOR ‘ANS’! Note that there are 3 dimensions so the units are cubic m or cm.

11 What Goes In The Box ? 2 You Try. Calculate the volume of the shapes below: (1) 16cm 14cm (2) 3m 4m 5m (3) 6cm 12cm 8m cm 3 30m 3 288cm 3