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Volume of prisms

Volume of prisms. Objective: Be able to work out the volume of a prism. Volume of a prism. You already know the volume of a cuboid. height. width. length. Volume = length x width x height. Volume of a prism. Instead, think of this as the area of the cross-section times the height. height.

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Volume of prisms

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  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 cuboid height width length 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 height width length Area of cross-section= length x width Volume of prism = area of cross-section x height

  4. Volume of a prism • What is the volume of a cuboid with dimensions 10 cm, 8 cm and 5 cm. 5 cm 8 cm 10 cm Area of cross-section= 10 cm x 8 cm = 80 cm2 Volume of prism = area of cross-section x height = 80 cm2 x 5 cm = 400 cm3

  5. Volume of a prism • Volume of a cylinder is the area of the cross-section times the height Height h Radius r Area of cross-section= πr2 Volume of prism = area of cross-section x height Volume of cylinder = πr2h

  6. Find the volume of a cylinder with radius 10 cm and height 20 cm Area of cross-section = πr2 = 3.14 x 102 = 3.14 x 100 = 314 cm2 Height 20cm Radius 10cm Volume of prism = area of cross-section x height Volume of cylinder = πr2h = 314 x 20 = 6,280 cm3

  7. Find the volume of this prism Cross-section is a triangle Area of cross-section = ½ x 5 x 4 = 10 cm2 4cm 5cm 14cm Volume of prism = area of cross-section x height length Volume of prism = 10 x 14 = 140 cm3

  8. Find the volume of this prism Cross-section is a parallelogram Area of cross-section = 6 x 7 = 42 cm2 7cm 6cm 15cm Volume of prism = area of cross-section x height length Volume of prism = 42 x 15 = 630 cm3

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