A prism is A prism is not A

A prism is…. A prism is not…. A prism is a solid object with: identical ends, flat faces, and the same cross section all along its length. Discuss: Why are these not prisms?

The Volume of a Prism Volume of a prism = area of cross-section x length* *length = distance between two ends Cuboid Triangular prism Pentagonal prism

Volume of a prism = area of cross-section x height* *height = distance between two ends Cross section is a Triangle. Area of a Triangle = 10 cm 6 cm 5 cm Volume =

Worked Example 8 cm 9 cm 3 cm 4 cm Your Turn

Find the volume of these triangular prisms 3. 5. 8. 5 mm 7 mm 1. 5 mm 4. 6. 0. 82 m 0. 7 m 2. m 4 m 50 cm m c 35

Find the volume of these triangular prisms 7. 9. 8. 10.

11. 12. 20 cm 16 cm 12 cm 20 cm a Volume = 1200 cm 3 What is a? b Volume = 960 cm 3 What is b? 13. Design a triangular prism with a volume of 250 cm 3. Draw you shape with all the lengths clearly labelled. Use the formula to show the volume 250 cm 3 can be calculated.

Mark and Correct your work 1) 48 cm 3 2) 96 cm 3 3) 48 cm 3 4) 24 cm 3 5) 70 mm 3 6) 61 250 cm 3 7) 66 cm 3 8) 144 cm 3 9) 1920 m 3 10) 144 cm 3 11) a=10 cm 12) b = 10 cm

Challenge The following container is filled with water until it is half full. 90 cm What volume of liquid is needed? How many litres is this? 12 cm 20 cm 1 litre = 1000 cm 3