Q6 of 14 Page 309

A cuboid is 25 cm long, 15 cm broad, and 8 cm high. How much of its volume will differ from that of a cube with the edge of 16 cm?

Measurement of cuboid

Length = 25 cm Breadth = 15 cm and Height = 8 cm


Volume of cuboid = Length × Breadth × Height


= 25 × 15 × 8


= 3000 cm3


Measurement of cube


Side = 16cm


Volume of cube = (side)3


= (16) 3


= 16 × 16 × 16


= 4096 cm3


Difference between the volumes = 4096 – 3000 cm3 = 1096 cm3


Volume of cuboid differs from volume of cube by 1096 cm3.


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