A rectangular tank measuring 40 cm by 20 cm by 30 cm is half-filled with water. If 4000 cm³ of water is poured out, what is the new volume of water in the tank?
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Worked Solution
Calculate the total capacity of the tank: Volume = length × breadth × height = 40 cm × 20 cm × 30 cm = 24000 cm³.
Since the tank is half-filled, the initial volume of water = 24000 cm³ ÷ 2 = 12000 cm³.
4000 cm³ of water is poured out. This means we subtract.
New volume of water = 12000 cm³ - 4000 cm³ = 8000 cm³.
Key formula: Volume of cuboid = length × breadth × height
Answer: 8000 cm³
Correct answer: 8000 cm³
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