Question

Length , breadth and height of a rectangular cistern are 3 m , 2 m and 1m respectively. Maximum amount of water that can be contained in the cistern is :​

Answer 1

Answer :-

• Max. amount of water in cistern = 6000 L

Given :-

• Length of Cistern = 3 m
• Width of Cistern = 2 m
• Height of Cistern = 1 m

To Find :-

• Max. amount of water in cistern = ?

Explanation :-

As above given, we have Length, Width & Height of the Cistern.

The cistern will be filled with water, it means we need to find the volume of the cistern.

$\blue { \boxed { \bf \bigstar \: Volume \: of \: Cistern = Length \times Width \times Height \: \bigstar}}$

$\sf : \: \longmapsto L \times W \times H = Volume \: of \: Cistern$

$\sf : \: \longmapsto (3 \times 2 \times 1) \: m^3$

$\sf : \: \longmapsto (6 \times 1) \: m^3$

$\green { \underline { \boxed { \sf : \: \longmapsto \bold{6 \: m^3} \quad \star }}}$

Now we will find the Max. Amount of water that cistern can contain

$\sf We \: Know \: That,$

$\sf : \: \longmapsto 1 \: m^3 = \bold{1000 \: Litres}$

$\sf : \: \longmapsto 6 \: m^3 = (6 \times 1000) \: Litres$

$\purple { \underline { \boxed { \bf = 6000 \: Litres}}}$

Hence, the Maximum capacity or Amount of water that cistern can contained is 6000 L.