Density can be defined as:

Where:
m is mass
V stands for volume
To isolate the mass, we derive:

Volume can be expressed as:


We then use the following conversion:

After applying the conversion, we arrive at:


Additionally, we have these conversions:


When we apply these conversions for density, we conclude:

Finally, the mass of the water required is:


Answer:
A total of 1190 kilograms of water is needed to fill the waterbed.