Ex 11.4

Chapter 11 Class 8 Mensuration
Serial order wise

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Ex 11.4, 4 A cuboid is of dimensions 60 cm Γ 54 cm Γ 30 cm. How many small cubes with side 6 cm can be placed in the given cuboid? Given, Length of cuboid = l = 60 cm Breadth = b = 54 cm & Height = h = 30 cm Also, Side of cube = 6 cm Now, Cube is placed in the cuboid So, Volume of cuboid = Number of cubes Γ Volume of 1 cube Number of cubes = (ππππ’ππ ππ ππ’ππππ)/(ππππ’ππ ππ 1 ππ’ππ) Volume of cuboid Volume = πΓπΓβ = 60Γ54Γ30 = 6Γ54Γ3Γ100 = 18Γ54Γ100 = 972Γ100 = 97200 cm3 Volume of cube Volume = (Side)3 = 6Γ6Γ6 = 216 cm3 Now, Number of cubes = (ππππ’ππ ππ ππ’ππππ)/(ππππ’ππ ππ 1 ππ’ππ) = 97200/216 = 16200/36 = 2700/6 = 450 β΄ 450 small cubes can be placed in cuboid.