Q. 23.7( 24 Votes )

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?

Answer :

The fish tank is cuboidal.

Although it is open from the top, it won’t affect our calculations for finding volume of the fish tank.


Outer dimensions:


Length (l’) = 60.4 cm


Breadth (b’) = 40.4 cm


Height (h’) = 40.2 cm


Width of the gauge is width of the tank (w) = 2 mm = 0.2 cm [, 1 mm = 10-1 cm]


2w = 2 × 0.2 = 0.4 cm


Inner dimensions:


Length (l) = l’ – 2w = 60.4 – 0.4 = 60 cm


Breadth (b) = b’ – 2w = 40.4 – 0.4 = 40 cm


Height (h) = h’ – 2w = 40.2 – 0.4 = 39.8 cm


Volume of the cuboidal fish tank is given by,


Volume = lbh


= 60 × 40 × 39.8


= 95520 cm3


Thus, volume of water that the fish tank will contain is 95520 cm3.


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