Tag Archives: volume

Greedy Clams – Solution

Here’s a solution to the Greedy Clam problem that was inspired by Luyi’s “Satiated Clam” geometry problem.

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Greedy Clams

Here’s a problem inspired by Luyi’s “Satiated Clam” problem.  (Her problem makes me think of a clam with the biggest possible pearl inside.) The problem begins with the same setup as hers. Let ABCDEF and ABC’D’E’F’ be two regular hexagons with unit … Continue reading

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3D Trapezoids

A few days ago, I was discussing the area formula for a trapezoid with students who had just derived it for themselves. The discussion led to a neat generalization of the trapezoid to higher dimensions different from the one that envisions the 3D … Continue reading

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Calculating the Volume of a Regular Tetrahedron

Tonight I joined in on the fun at the Games Night at Math Prize for Girls. Picture a large banquet hall filled with large tables each showcasing a different kind of math-related hands-on activity. Girls came from all over the … Continue reading

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