Question

Find the mass of water required to fill the tank that is 6.4m long, 4.8m wide and 2m high if 1cm3 of water has a mass of 0.6 tonne

Answer 1

36,864,000 tons

Explanation:

We first need to find the volume of the tank. We can do this by multiplying the dimensions of the tank together.

`6.4*4.8*2=\boxed{61.44}`

This means we must fill the tank with 61.44m³ of water. We now must convert m³ to cm³.

1 meter cubed is 1000000 centimeters cubed:

`m^3 = m * m * m = 100cm * 100cm * 100cm = 1000000cm^3`

`61.44* 1000000 = 61440000`

This means we must fill the tank with 61,440,000cm³ of water. This can be weighed as

`61440000*0.6=36864000`, meaning the water weighs 36,864,000 tons.

(why does 1cm³ of water weigh 0.6 tons)