Q10 of 14 Page 309

A vessel in the shape of a cuboid is 30 cm long and 25 cm wide. What should be its height to hold 4.5 liters of water?

We know that,

1 liter is 1000cm3,


∴ 4.5 liters = 4.5 × 1000 = 4500 cm3


Measurement of vessel


Length = 30 cm,


Breadth = 25cm,


And Height =?


Let the height be h cm.


We are given the capacity which this vessel can hold i.e. the volume of the vessel.


Volume of vessel = Length × Breadth × Height


4500 = 300 × 25 × h cm


4500 = 750 × h


h =


h =


h = 6 cm


Hence, height of the vessel is 6cm which can hold 4.5 liters.


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