The figure above depicts an agar cube with a side length of 12mm. In an experiment, students submerged the cube in orange dye for 12 hours. The orange dye permeated 1.5mm on each side, as indicated by the shading in the figure. Calculate the volume of the agar cube that remained unpenetrated by the orange dye.

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below: