1). A rectangular tank measuring 30 centimetres by 24 centimetres by
18 centimetres, was filled with water to a depth of 12 centimetres.
Another 1080 mitres of water were then poured into the tank.
Find the height of the new water level.
Answers
length of rectangular tank equal to 30 cm breadth of rectangular tank equal to 24cm height of rectangular tank equal to 18 cm height of water is equal to 12 centimetre height of new water is 18
Answer:
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Class 11
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>>Numerical Applications
>>Mensuration
>>A rectangular tank 30 cm × 20 cm × 12 c
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A rectangular tank 30 cm×20 cm×12 cm contains water to a depth of 6cm. A metal cube of side 10cm is placed in the tank with its one face resting on the bottom of the tank. Find the volume of water, in litre, that must be poured into the tank so that the metal cube is just submerged in the water.
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Updated on : 2022-09-05
Solution
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Correct option is A)
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