Elli needs to put a chemical solution in her parent's rectangular hot tub so it is safe to for her family to get in. She measures the dimensions of the hot tub to the nearest inch as 48 inches for the length and width, and 42 inches for the height. There are 36 inches of water in the hot tub. The solution calls for a mixture of 1 ounce per cubic foot of water. Elli wants to make sure she puts in enough of the solution to be safe, but not too much. She is also worried that her measurements might be off. Taking into account any error in her measurements, what will be the minimum and maximum volume of water in the hot tub to the nearest cubic inch?