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Volume of Prisms

Volume of Prisms. OCR Stage 8. A Prism. Cylinder. Cuboid. Cross section. Triangular Prism. Trapezoid Prism. Volume of Prism = length x Cross-sectional area. h. r. b. Area Rectangle = Base x height. Area Circle = π x r 2. a. h. h. b. b. Area Trapezium = ½ x (a + b) x h.

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Volume of Prisms

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  1. Volume of Prisms OCR Stage 8

  2. A Prism Cylinder Cuboid Cross section Triangular Prism Trapezoid Prism Volume of Prism = length xCross-sectional area

  3. h r b Area Rectangle = Base x height Area Circle = π x r2 a h h b b Area Trapezium = ½ x (a + b) x h Area Triangle = ½ x Base x height Area Formulae

  4. USE CALCULATOR ‘ANS’! Volume Cylinder Cross-sectional Area = π x r2 = π x 32 = 28.2743…..cm2 DO NOT ROUND! 3cm 5cm Volume = length x CSA = 5 x 28.2743…. = 141.3716….cm3 = 141.4cm3

  5. USE ‘ANS’! Sensible degree of accuracy Volume Cuboid Cross-sectional Area = b x h = 7.2 x 5.3 = 38.16cm2 5.3cm 10.6cm DO NOT ROUND! 7.2cm Volume = length x CSA = 10.6 x 38.16 = 404.496cm3 = 404.5cm3

  6. 6.3cm 8.2cm 1.7cm 4.9cm USE ‘ANS’! Sensible degree of accuracy Volume Trapezoid Prism Cross-sectional Area = ½ x(a + b) x h = ½ x (6.3 + 1.7) x 4.9 = 19.6cm2 DO NOT ROUND! Volume = length x CSA = 19.6 x 8.2 = 160.72cm3 = 160.7cm3

  7. USE ‘ANS’! Sensible degree of accuracy Volume Triangular Prism Cross-sectional Area = ½ x b x h = ½ x 8.6 x 4.1 = 17.63cm2 4.1cm 4.9cm DO NOT ROUND! 6.2cm 8.6cm Volume = length x CSA = 17.63 x 6.2 = 109.306cm3 = 109.3cm3

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