Wrapping a Rope around the Earth Puzzle (VIDEO!)

Suppose Poindexter takes a very long rope and wraps it around the equator of the Earth. Assume he has just the right length that makes this work without any slack. Suppose Allistair then comes along and adds 10 feet of rope to the length and the tiny bit of slack is used to have the rope uniformly hover just ever so slightly above the ground. How high off the ground is that rope?

Let’s answer this puzzle in one fell swoop for ALL planets, no matter their size, and answer it for cubical planets and triangular planets as well!

Rope Puzzle


    QUADRATICS, Permutations and Combinations, EXPLODING DOTS, and more!

    Written for educators - and their students too! - this website, slowly growing, takes all the content Tanton has developed in his books, videos, and workshops, and organizes it into short, self-contained, and complete, curriculum units proving that mathematics, at all points of the school curriculum, can be joyous, fresh, innovative, rich, deep-thinking, and devoid of any rote doing! Let's teach generations of students to be self-reliant thinkers, willing to flail and to use their common sense to "nut their way" through challenges, to assess and judge results, and to adjust actions to find success. (Great life skills!)

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