Question

A water tank is 1.4 m long, 1 m wide, and 0.7 m deep. Find the volume of the tank in liters.

Answer 1

Hint: Length, Breadth, Height are given. Therefore, the tank is cuboid shaped. Volume of cuboid is equal to length times breadth multiplied by height, that is, volume of a cuboid is equal to length $\times $ breadth $\times $ height. Use 1 litre is equal to 0.001 ${{m}^{3}}$ Or 1 ${{m}^{3}}$=1000 litre.

Complete step-by-step solution:
We are to find the volume of a tank in liters. We are given the dimensions of a cuboid-shaped tank in meters.
Length of the water tank = 1.4 m
Breadth (width) of the water tank = 1 m
Height (depth) of the water tank = 0.7 m

We know that volume of a Cuboid = Length $\times $ breadth $\times $ height
$\therefore $ Volume of the Cuboidal water tank = 1.4 m $\times $ 1 m $\times $ 0.7 m = 0.98${{m}^{3}}$
We are asked to find the volume of the tank in liters. We need a conversion of units, that is, from cubic meters to liters.
For the same we have to convert 0.98${{m}^{3}}$ into liters.
We know the fact that one thousand litres equals one cubic metre (1000 litres=1${{m}^{3}}$)
$\therefore $ 0.98${{m}^{3}}$= 0.98 $\times $ 1000 litres= 980 litres
Hence, volume of the water tank is 980 litres.

Note: One has to be careful about the conversion of units. Be cautious enough to not miss any requirements of conversions. The same question can be asked keeping the dimensions of the water tank in centimeters and to find the volume in milliliters.
For that we need to keep the following relations in mind:-
1${{m}^{3}}$ =1000000$c{{m}^{3}}$
1 litre = 1000 millilitres
1$c{{m}^{3}}$ = 1 millilitre