Question

To make an open fish tank, a glass sheet of 2mm gauge is used. The outer length, breadth and height of the tank are 60.4cm, 40.4cm and 40.2cm respectively. How much maximum volume of water will be contained in it ?

Answer 1

Step-by-step explanation:

1. Volume of water will be equal to the volume of the tank .
2. As we know the thickness of glaas is 2 mm .
3. So the new Length breadth and height will be

$60.4 - .4 = 60 \\ 40.4 - .4 = 40 \\ 40.2 - .2 = 40$

we do it because glass wall is situated both sides but not on the top so we minus only .2 from height.

now the volume of the tank will be

$60 \times 40 \times 40 = 96000cc \\ and \: we \: know \: 1000cc \: is \: equal \\ to \: 1litre \: then \: voume \: of \: the \: \\ tank \: will \: be \\ = 96000 \div 1000 \\ = 96litre$

Answer 2

Answer:

96 liters of water can be stored in a tank.

Step-by-step explanation:

Glass sheet thickness = 2mm = 2/10 = 0.2 cm

Now,

Length = 60.4 - 0.4

            = 60 cm

Breadth = 40.4 - 0.4

              = 40 cm

Height = 40.2 - 0.2

           = 40 cm

                          Volume of Cuboid = lbh

                               Volume  = 60×40×40

                                              = 96000

Therefore, Volume of fish tank = 96000cm³.

We know that,

                        1000cm³ = 1 liter

                       ∴ 96000/1000

                         = 96

Therefore, Maximum water that can be stored in tank is 96 liters i.e. 96000 cubic centimeter.

Explanation:

In the given question, the Length, Height and Breadth of tank was given. It was also given that, the guage/thickness of water tank is 2mm that is 0.2 cm. So, We subtracted the 0.4 cm from it's length and breadth because, the there are 2 sides of length and breadth of cuboidal shape box. And, we subtracted 0.2cm from it's height. The values which we got were "60,40,40". By putting this values in the formula of "Volume of Cuboid", we find the "Volume of Cuboid". In the question, it was asked to find the capacity of tank. So, We divided the volume of tank with 1000. Because, each 1000 cm³ = 1 liter. And, we get the final answer 96 liters.