 How can I measure the volume of this diner? If it was a regular shape, like the cube on which it stands, I could just measure its dimensions and calculate the volume. Clearly, that's not an option. Melting it down is also not possible. The owner would be extremely upset. No, no, baba! So what can we do? The solution is fairly simple. We use what's called the water replacement method. In the water replacement method, we take a cup filled with water, mark carefully the level at which the water is originally, then drop the diner in it, make sure it's completely submerged, and we look at how much the volume of water increased. The increase in water volume is the volume of the diner.