Volume of prisms and cylinders

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Presentation transcript:

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

Volume of a prism the volume of a rectangular prism is: Volume = length x width x height height width length

Volume of a prism What is the volume of a rectangular prism with dimensions 10 cm, 8 cm and 5 cm. 5 cm 8 cm 10 cm Area of Base = 10 cm x 8 cm = 80 cm2

Volume of a cylinder Volume of cylinder = πr2h Volume of a cylinder is the area of the cross-section times the height Height h Radius r Volume of cylinder = πr2h

Find the volume of a cylinder with radius 10 cm and height 20 cm Area of base = πr2 = π x 102 = π x 100 = 100 π cm2 Height 20cm Radius 10cm Volume of prism = B x height Volume of cylinder = π r2h = π x 100 x 20 = 2000 π cm3

Find the volume of this prism Since the base is a triangle, B=½ b h B = ½ x 5 x 4 = 10 cm2 4 cm 5cm 14cm Volume of prism = B x height of the prism Volume of prism = 10 x 14 = 140 cm3

Find the volume of this prism The base is a parallelogram B = 6 x 7 = 42 cm2 7 cm 6cm 15cm Volume of prism = B x height of the prism Volume of prism = 42 x 15 = 630 cm3