1 m3 water = 1000 kg. Specific gravity of pure gold is 19.32. So 3 * 1000 / 19.32 = 0.155 m3.
Nominally ~$110 million. Although the coins are worth more than the current price of gold.
A 20-inch cube? That can’t be right. Why just this morning I was watching Gunsmoke, and the guy tossed a chest of gold off the train and into the buckboard five feet away!