The interior of a rectangular tank has a square base with sides of length 10 feet. Two-hundred cubic feet of water is poured into the tank resulting in a water-level of 2 feet. A solid rectangular block, dense enough to sink to the bottom of the tank, is placed in the water three times. Each time the block was placed with a different face touching the bottom and the resulting water-levels were recorded to be 4 feet, 5 feet, and 6 feet.
Determine the dimensions of the block.