# 3:2 powerpointmaths.com Quality resources for the mathematics classroom Reduce your workload and cut down planning Enjoy a new teaching experience Watch.

## Presentation on theme: "3:2 powerpointmaths.com Quality resources for the mathematics classroom Reduce your workload and cut down planning Enjoy a new teaching experience Watch."— Presentation transcript:

3:2 powerpointmaths.com Quality resources for the mathematics classroom Reduce your workload and cut down planning Enjoy a new teaching experience Watch your students interest and enjoyment grow Key concepts focused on and driven home Over 100 files available with many more to come 1000’s of slides with nice graphics and effects. powerpointmaths.com Get ready to fly! © Powerpointmaths.com All rights reserved.

Volume of a Prism Remember: Prisms are 3 dimensional shapes that have a constant cross-sectional area. Triangular-based prism Rectangular-based prism Pentagonal-based prism Hexagonal-based prism Octagonal-based prism Circular-based prism Cylinder Cuboid

Prisms The volume of any prism is simply its: cross-sectional area x length 9 m 2 100 cm 2 60 mm 2 2 m 9 cm 3 mm a b c V = 9 x 2 = 18 m 3 V = 100 x 9 = 900 cm 3 V = 60 x 3 = 180 mm 3 Diagrams Not to scale

Find the volume of the following prisms. 9 m 2 V = 9 x 5 = 45 m 3 Diagrams Not to scale 8 cm 2 7 mm 2 5 m 4 cm 10 mm 20 mm 2 10 mm 30 m 2 2½ m 40 cm 2 3 ¼ cm V = 8 x 4 = 32 cm 3 V = 7 x 10 = 70 mm 3 V = 20 x 10 = 200 mm 3 V = 30 x 2½ = 75 m 3 V = 40 x 3¼ = 130 cm 3 1 2 3 4 5 6

Find the volume of the following prisms. Diagrams Not to scale 4.3 m 2 8.2 cm 2 5.1 m 19.3 cm V = 4.3 x 5.1 = 21.93 m 3 V = 8.2 x 19.3 = 158.26 cm 3 V = 8.2 x 10.1 = 82.82 ft 3 V = 0.7 x 0.4 = 0.28 yd 3 8.2 ft 2 10.1 ft 0.7 yd 2 0.4 yd 1 2 3 4

Find the volume of the following prisms. Diagrams Not to scale In each of the following examples the cross-sectional ends have to be calculated. 4 m 2 m V = 4 x 1.5 x 2 = 12 m 3 1.5 m 8 cm 9 cm 4 cm 8 mm 7 mm 6 mm 5 mm 1 2 3 V = ½ (9 x 8) x 4 = 144 cm 3 V = ½ (8 + 6) x 7 x 5 = 245 mm 3 Remember: A = ½ base x height A = ½ the sum of the parallel sides x height

5cm 8 cm 15 cm V = ½ x 20 x 16 x 4 = 640 cm 3 V =  x 8 2 x 10 = 3.142 x 64 x 10 = 2010cm 3 (nearest cm 3 ) 4 cm 10cm Remember: A =½ product of diagonals Remember: Area =  r 2 r 1 2

Worksheet 1 Triangular-based prism Pentagonal-based prism Hexagonal-based prism Octagonal-based prism Circular-based prism Volume of a Prism

Worksheet 2 a b c 1 2 3 4 5 6

Worksheet 3 1 2 3 4

Worksheet 4 1 2 3 4 5

Download ppt "3:2 powerpointmaths.com Quality resources for the mathematics classroom Reduce your workload and cut down planning Enjoy a new teaching experience Watch."

Similar presentations