The other detail is figuring out the length, guessing the width/height based on the picture, then estimating volume. From there, divide the mass by the volume, and see how it compares to balsa wood (.16).
As an example, the Leviathan is 1700 meters long, and masses 2.4 megatons. I'm estimating it to be 5:1:1 for length:width:height (based on
this image). So 1700 meters long, and ~340 meters high and wide. Assuming that is a cylinder, that gives me a circular base with a radius of 170 meters, for an area of 90,792 square meters, multiplied by a height of 1700 meters gives a volume of ~154 million cubic meters. 2.4 megatons divided by that volume is .0155 tons per cubic meter.
So assuming my math is right, the Leviathan 2 is ~1/10 the density of balsa wood.