On of the questions from the last posting remains unanswered. It will have to remain so until some enlightened and brave soul posts a solution to the Comment Section at the end of this blog post. I am challenged by unanswered questions. I am even more challenged by the unanswered questions that no one steps up to answer. Did you know that every time you answer a question correctly and your correct answer is acknowledged your mind and body experience a rewarding endorphin release? There is pleasure in problem-solving.
Today's question requires some visualization, as well as some rudimentary mathematics:
You are given a box, measuring 6 feet by 6 feet by 6 feet.
1. What would be the diameter of each of four equally-sized spheres which would fit snugly into the box?
2. How much excess (wasted) space would be left in the box after it was snugly packed with the spheres?
3. How much excess (wasted) space would be left in the box if it were instead snugly packed with eight equally-sized spheres?