Question

A cubical tank has an edge of 6m. How many litres of water can be stored in it?

Answer 1

Hint: To obtain the litre of water the cubical tank can store we will use the formula of volume of a cube. Firstly we know the length of the edge of the cubical tank so we will find the volume of the cube by the formula. Then as we need our answer in litres we will convert the meter cube unit into litres by multiplying it by 1000 and get our desired answer.

Complete step-by-step solution:
It is given to us that:
Edge of cubical tank $=6m$

Let the edge be $a$ so,
$a=6m$……$\left( 1 \right)$
Now as we know that formula for finding the Volume of a Cubical shape is as follows:
Volume of Cube (in meter) $={{a}^{3}}$
Put value from equation (1) above,
Volume of Cube (in meter) $={{\left( 6m \right)}^{3}}$
Volume of Cube (in meter) $=216{{m}^{3}}$
 Now we have to find the Capacity of cubical tank in liters so as,
$1{{m}^{3}}=1000l$
So,
$\begin{align}
  & 216{{m}^{3}}=216\times 1000l \\
 & \therefore 216{{m}^{3}}=216000l \\
\end{align}$
Hence the cubical tank can store 216000 litre of water in it.

Note: A cube is a three-dimensional figure consisting of 6 square faces, 8 vertices and 12 edges. Sometimes we consider the shape of a cube as cubic. Most common example of a cube is the Rubik’s cube and some other examples are cuboids, cylinders, cones and spheres. Volume of a cube is the space contained in it. As the cube is formed from 6 square faces which mean all its sides are equal in size and therefore we simply multiply the side three times by itself to get the volume of it.