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Question
To make an open fish tank, a glass sheet of 2 mm gauge is used. The outer length, breadth and height of the tank are 60.4 cm, 40.4 cm and 40.2 cm respectively. How much maximum volume of water will be contained in it?
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Solution
Thickness of the glass = 2 mm = `2/10` = 0.2 cm ...(1 cm = 10 mm)
∴ l = 60.4 − 0.2 − 0.2 = 60.4 − 0.4 = 60 cm
∴ b = 40.4 − 0.2 − 0.2 = 40.4 − 0.4 = 40 cm
∴ h = 40.2 − 0.2 = 40 cm
∴ Maximum volume of water contained in the tank = Inner volume of the tank
= l × b × h
= 60 × 40 × 40
= 96000 cm3
`= 96000/1000`
= 96 litres
Thus, the maximum volume of water contained in the tank is 96 cm.
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