A gift box is constructed in the shape of a right rectangular prism. The base is 15 inches squared and the height is 5 inches. What will volume of the gift box be?

To find the volume of the gift box, we need to multiply the base area by the height. The base area is 15 inches squared and the height is 5 inches, so the volume is 15 * 5 = <<15*5=75>>75 cubic inches. Answer: \boxed{75}.