Volume of prisms

1. Volume of prisms

2. Volume of prisms We can think of a prism as a polygon that has been pulled into three dimensions. This creates two congruent bases and rectangular faces between them.

3. Volume of prisms We can think of a prism as a polygon that has been pulled into three dimensions. This creates two congruent bases and rectangular faces between them.

4. Volume of prisms We can think of a prism as a polygon that has been pulled into three dimensions. This creates two congruent bases and rectangular faces between them.

5. Volume of prisms We can think of a prism as a polygon that has been pulled into three dimensions. This creates two congruent bases and rectangular faces between them.

6. Volume of prisms One way to think about finding the volume of a prism is to; 1) Find the volume of the first layer of the prism 2) Then multiply by the number of layers

7. Volume of prisms The volume of the first layer of prism has the same numerical value as the area of its base: 8 cm2

8. Volume of prisms The volume of the first layer of prism has the same numerical value as the area of its base: 8 cm3

9. Volume of prisms So we can think of the volume of a prism like this: Volume = volume of first layer x the number of layers Volume = area of the base x the height of the prism V = A x h

10. Volume of prisms For a rectangular prism; V = Ax h becomes V = l x w x h since A = l x w

11. Volume of prisms Example: V = A x h = l x w x h = 3 m x 1 m x 2 m = 6 m3

12. Volume of prisms For a triangularprism; V = Ax h becomes V = b x hT ÷ 2xhP since AT= b x hT ÷ 2

13. Volume of prisms Example: V = A x h = b x hT ÷ 2 x hP = 7.5 m x 2 m ÷ 2 x 1.2 m = 9 m3