Sum

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)

Inner length of the tank, l = 60.4 − 0.2 − 0.2 = 60.4 − 0.4 = 60 cm

Inner breadth of the tank, b = 40.4 − 0.2 − 0.2 = 40.4 − 0.4 = 40 cm

Inner height of the tank, h = 40.2 − 0.2 = 40 cm (Tank is open at the top)

∴ Maximum volume of water contained in the tank

= Inner volume of the tank

= l × b × h

= 60 × 40 × 40

= 96000 cm^{3}

Thus, the maximum volume of water contained in the tank is 96000 cm^{3}.

Concept: Surface Area of a Sphere

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