A rectangular tank, 50 cm long and 30 cm wide, contains water upto a height of 9 cm. a box of dimensions 25 cm × 25 cm × 20 cm is now placed in the tank so that its square face rests on the bottom of the tank. the quantity of water (in l) that must be poured into the tank in order to just cover the box is
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Volume of water in the tank initially =50×30×9=13500 cm3 .Box is placed so that its square face rests on the bottom of the tank .So, to cover the box tank should be filled up to 20 cm.Volume of water in the tank =50×30×20=30000 cm3 .Volume of water displaced by box =25×25×20=12500 cm3 .Now ,Quantity of water must be poured in order to cover the box = 30000−13500−12500=30000−26000=4000 cm3 .=40001000=4 L . ANS
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Volume of water in the tank initially =50×30×9=13500 cm3 .Box is placed so that its square face rests on the bottom of the tank .So, to cover the box tank should be filled up to 20 cm.Volume of water in the tank =50×30×20=30000 cm3 .Volume of water displaced by box =25×25×20=12500 cm3 .Now ,Quantity of water must be poured in order to cover the box = 30000−13500−12500=30000−26000=4000 cm3 .=40001000=4 L . ANS
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