Rich is building a travel crate for his dog, Thomas, a beagle-mix who is about 30 inches long, 12
inches wide, and 23 inches tall.
For Thomas to travel safely, his crate needs to be a rectangular prism that is about 12 inches greater
than his length and width, and 6 inches greater than his height.
What is the volume of the travel crate that Rich should build?
The crate should be
inches long,
inches wide, and
inches high
The volume of the travel crate that Rich should build is
cubic inches.

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- 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. 3- 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 part b?