A wooden box in the form of a rectangular prism has a length of 100 \ \mathrm{cm}100 cm, width of 80 \ \mathrm{cm}80 cmand a height of 42 \ \mathrm{cm}42 cm. ​

​​If the cost of painting is \$ 0 . 03$0.03per square centimeter, then the cost of painting the box is

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.