14 4 Volumes of Prisms Find volumes of

14. 4 Volumes of Prisms Find volumes of prism; solve reallife problems. CC. SS. 7. G. 6

A Prism Cylinder Cuboid Cross section Trapezoid Prism Triangular Prism

Area Formula r h Area Circle = π x r 2 b Area Rectangle = Base x height a h b Area Trapezium = ½ x (a + b) x h h b Area Triangle = ½ x Base x height

Volume of Prism = Cross-sectional area x Length

What is a prism? https: //www. youtube. com/watch? v=TM 004 Ysdv. LQ

Volume Cylinder Cross-sectional Area = π x r 2 = π x 32 = 28. 2743…. . cm 2 DO NOT ROUND! 3 cm 5 cm USE CALCULATOR ‘ANS’! Volume = length x CSA = 5 x 28. 2743…. = 141. 3716…. cm 3 = 141. 4 cm 3

Volume Cuboid Cross-sectional Area = b x h = 7. 2 x 5. 3 = 38. 16 cm 2 5. 3 cm 10. 6 cm DO NOT ROUND! 7. 2 cm Volume = length x CSA USE ‘ANS’! = 10. 6 x 38. 16 = 404. 496 cm 3 = 404. 5 cm 3 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. 6 cm 2 6. 3 cm 4. 9 cm DO NOT ROUND! 8. 2 cm 1. 7 cm Volume = length x CSA USE ‘ANS’! = 19. 6 x 8. 2 = 160. 72 cm 3 = 160. 7 cm 3 Sensible degree of accuracy

Volume Triangular Prism Cross-sectional Area = ½ x b x h = ½ x 8. 6 x 4. 1 = 17. 63 cm 2 4. 1 cm 4. 9 cm DO NOT ROUND! 6. 2 cm 8. 6 cm Volume = length x CSA USE ‘ANS’! = 17. 63 x 6. 2 = 109. 306 cm 3 = 109. 3 cm 3 Sensible degree of accuracy