Maharashtra State BoardSSC (English Medium) 9th Standard
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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

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 cm3

Thus, the maximum volume of water contained in the tank is 96000 cm3.

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APPEARS IN

Balbharati Mathematics 2 Geometry 9th Standard Maharashtra State Board
Chapter 9 Surface Area and Volume
Problem Set 9 | Q 2 | Page 123
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