Everyone in Arianna's family takes a turn making a special dinner. This week, Arianna made a pan of her brother's favorite vegetable lasagna. The lasagna came out shaped like a rectangular prism that is 13 inches long, 9 inches wide, and 1
1
2
inches tall. Arianna cut the lasagna into 12 equal pieces and served the first piece to her brother.
What is the volume of the piece of lasagna Arianna served to her brother?
Write your answer as a whole number, proper fraction, or mixed number.