A carton is 15 inches long, 10 inches wide, and 12 inches high. Mindy wants to wrap up the carton. What is the minimum area of wrapping paper needed to cover the carton?

Graph a triangle (xyz) and reflect it over the line y=x to create triangle x’y’z’. describe the transformation using words. draw a line segment from point x to the reflecting line, and then draw a line segment from point x’ to the reflecting line. what do you notice about the two line segments you drew? do you think you would see the same characteristics if you drew the line segment connecting y with the reflecting line and then y’ with the reflecting line? how do you know?