If 75 buckets of water of equal measure are taken out from the water of a cubical water-filled-tank, then 2\over5th of the water remains in the tank. If the length of one edge of the tank is 1.5 metres, then calculate the quantity of water in litre that can be held in each bucket.
WBBSE
Class X
Mathematics
Rectangular Parallelopiped or Cuboid
04 Mark
2024
Side of cube = 1.5 m
Volume of the tank = (1.5)³ = 3.375 m³
After removing 75 buckets of water, 2\over5th of the water remains in the tank.
So, the fraction of water taken out = 1 – 2\over5 = 3\over5
Volume of water taken out = 3\over5 × 3.375 = 2.025 m³
Volume of water in each bucket = 2.025 ÷ 75
= 0.027 m³ × 1000 [since, 1 m³ = 1000 litres]
= 27 litres
Hence, each bucket can hold 27 litres of water.
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