Quandaries
and Queries 

okay. i have an attachment with the picture. i have a cube, and the line that cuts threough the middle of the cube across to the other side is 4 radical6. what is the volume of the cube? thank you 

Hi, I have redrawn your diagram. I let x be the length of each side of the cube. In the diagram triangle ABC is a right triangle, so use Pythagoras' theorem to find the length of AC. Triangle DAC is also a right triangle, so again use Pythagoras' theorem to find the length of DC. What value of x give the length of DC as 4radical6? Penny 

