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.