VOLUME OF SOLIDS

VOLUME OF PRISMS V = Area of Base x Height V = (8 x 6 ) x 10 V = 48 x 10 V = 480 cm3 10 cm All measurements must be in the same UNIT before doing ANY calculations ! 6 cm 8 cm

V = Area of the base X Height Area of base = 7 x 5 x 6 2 Example #2 Find the volume of a prism that is 15 cm high and has a pentagonal base. The apothem is 60 mm, side length is 7cm. Give your answer in cubic centimeters. V = Area of the base X Height Area of base = 7 x 5 x 6 2 Area of base = 105 Volume = Area of base X Height Volume 105 x 15 Volume = 1575 cm3

Work for Volume of Prisms Workbook Page 193 # 17 a,b (cube),c Page 194 # 19 #23 #24 #25 #26 #28a

How to find height when you know volume and area of the base. Volume = Area of Base X Height Height = Volume Area of Base Example: Prism has a volume of 2400 cm3 and an area of base of 120cm2 What is its height? Height = Volume Abase H = 2400 120 H = 20 cm V= 2400 cm3 Abase= 120 cm2

How to find area of base when you know volume and height. Area base = Volume Height Find the area of the base of a prism That has a volume of 300 cm3 and a height of 5 cm. Area base = 300 5 Area base = 60 cm2 V= 300 cm3

Volume of Cylinders Volume = Area of Base X Height Volume = πr2 X Height Volume = π22 X 10 Volume = 125.66 cm3 Remember to ALWAYS work in ONE unit. H = 10cm d= 4 cm