We lived way back in the country and used to order our ball by mail, according to sizes advertised in a sporting house catalog, which advised patrons to "give the exact number of inches required," and that is where the problem comes in. We were told to give the size in inches, but we did not know whether it meant the number of square inches of rubber on the surface or the number of cubic inches of wind contained within the ball so we combined the two principles and ordered a ball which should contain just as many cubic inches of wind as it had superficial inches of surface!
How many of our puzzlists can guess the diameter of the ball which was ordered?
Thursday, September 18, 2014
Wednesday, September 17, 2014
I liked this puzzle, so I included it.
A rectangular wooden block (not necessarily a cube) is painted on the outside and then divided into one‐unit cubes. It turns out that exactly half of the cubes have paint on them. What were the dimensions of the block before it was painted?
So, where do we start?
What information is really being supplied here?
Tuesday, September 16, 2014
Monday, September 15, 2014
Let's talk about perimeter. What do you notice about the perimeter of the big semicircle alone and all of the smaller ones together?
What will happen if we changed this so that all the small semicircles were really, really, really small. Wouldn't that essentially be a straight line?
Sunday, September 14, 2014
The man is walking down the sidewalk in the evening, at a constant speed. As he walks away from the streetlight, he casts a shadow in front of him.
If a second man were to try and keep up with the very front tip of his shadow, would he be walking at a constant speed, accelerating or decelerating, or what?
How do you know your answer is correct?