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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता ९ वी

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. - Geometry

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प्रश्न

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?

बेरीज
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उत्तर

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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पाठ 9: Surface Area and Volume - Problem Set 9 [पृष्ठ १२३]

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बालभारती Mathematics 2 [English] Standard 9 Maharashtra State Board
पाठ 9 Surface Area and Volume
Problem Set 9 | Q 2. | पृष्ठ १२३

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