A cuboid has dimensions 25 dm × 15 dm × 8 dm . How much does its volume differ from that of a cube with an edge of 16 dm ?

Given: Dimensions of cuboid = 25 dm × 15 dm × 8 dm We know that, volume of cuboid = L × B × H Volume of cuboid = 25 × 15 × 8 = 3000 dm Edge of a cube = 16 dm We have, volume of cube = Side 3 Volume of cube = ( 16 ) 3 = 4096 dm 3 Difeerence between volumes = Volume of cube - Volume of cuboid = 4096 - 3000 = 1096 dm 3 Therefore, difference between the volumes = 1096 dm 3

The dimensions of a cistern are 2 m 75 cm × 1 m 90 cm × 1 m 40 cm . How many litres of water this cistern hold if we fill it till the top?

Given: Dimension of a cistern = 2 m 75 cm × 1 m 90 cm × 1 m 40 cm 2 m 75 cm = 2 . 75 m , 1 m 90 cm = 1 . 90 m , 1 m 40 cm = 1 . 40 m Volume of a cuboid = 2 . 75 × 1 . 90 × 1 . 40 = 7 . 315 m 3 = 7 . 315 m 3 = 7 . 315 × 1000 L = 7315 L Therefore, quantity of cistern is 7315 L