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Volume of prisms Objective: Be able to work out the volume of a prism.

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Presentation on theme: "Volume of prisms Objective: Be able to work out the volume of a prism."— Presentation transcript:

1 Volume of prisms Objective: Be able to work out the volume of a prism.

2 Volume of a prism You already know the volume of a cuboids length width height Volume = length x width x height

3 Volume of a prism Instead, think of this as the area of the cross-section times the height Area of cross-section = length x width height Volume of prism = area of cross-section x height length width

4 Volume of a prism What is the volume of a cuboids with dimensions 10 cm, 8 cm and 5 cm. Area of cross-section = 10 cm x 8 cm = 80 cm 2 5 cm Volume of prism = area of cross-section x height = 80 cm 2 x 5 cm = 400 cm 3 10 cm 8 cm

5 Volume of a prism Volume of a cylinder is the area of the cross-section times the height Area of cross-section = π r 2 Height h Volume of cylinder = πr 2 h Radius r Volume of prism = area of cross-section x height

6 Find the volume of a cylinder with radius 10 cm and height 20 cm Area of cross-section = π r 2 = 3.14 x 10 2 = 3.14 x 100 = 314 cm 2 Height 20cm Volume of cylinder = πr 2 h = 314 x 20 = 6,280 cm 3 Radius 10cm Volume of prism = area of cross-section x height

7 Find the volume of this prism Cross-section is a triangle Area of cross-section = ½ x 5 x 4 = 10 cm 2 4 cm 5 cm Volume of prism = 10 x 14 = 140 cm 3 14 cm Volume of prism = area of cross-section x height length

8 Find the volume of this prism Cross-section is a parallelogram Area of cross-section = 6 x 7 = 42 cm 2 7 cm 6 cm Volume of prism = 42 x 15 = 630 cm 3 15 cm Volume of prism = area of cross-section x height length


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