Aubrey has a new art box in the shape of a rectangular prism. The box is 555 inches by 888 inches by 222 inches. The only thing in the art box is a new pink eraser with the dimensions shown below. What is the volume of the art box not taken up by the eraser?

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?