7. A rectangular tank 30 cm x 20 cm x 12 cm
metal cube of side 10 cm is placed in the
contains water to a depth of 6 cm.
tank with its one face resting on the bottom
of the tank. Find the volume of water, in
litres, that must be poured in the tank so
that the metal cube is just submerged in the
water.
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Step-by-step explanation:
Volume of water in tank=30×20×6=3600cm^3 volume of cube=10^3 =1000cm^3
Volume of water in tank + Volume of cube=4600cm^3
height=h of water when volume is 4600 in the tank of length=30,breadth=20 is,
⇒30×20×h=4600
⇒h=7.667cm
Difference in height when cube submerged in tank=10−7.6667=2.333
Volume of water must be poured in tank=30×20×2.333=1399.98cm^3
=1.4litre
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