Interesting Variants on Tetrahedral Geometry

If you are lucky enough to have received some of our Tetrahedral Shapes and are looking to check your answers to the questions, you have come to the right place! Need more copies of the handout? Download a pdf here: Tetrahedral Geometry

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ANSWERS

What is the volume of the tetrahedron?

The whole cube with the corners on the 1,1,1 and -1,-1,-1 co-ordinates has a volume of 8 (2 x 2 x 2). The volume of the tetrahedron is 1/3 of this, ie 8/3

What is the volume of the triakis tetrahedron?

16/3 (this is exactly twice the volume of the tetrahedron)

How many cuts do you need to cut a rectangular block of cheese into three equal amounts using

a) a straight knife?  4

b) a cheese wire? 2

We hope you enjoyed the puzzles. If you would like any further explanation of the answers, please comment below.

The shapes were all printed by a THREEDY 3D Printer. If you would like to know more about THREEDY 3D printers, please browse our website. The printers are great for schools and colleges and we would be happy to visit you to demonstrate our printers, or deliver our 3D Printing workshop tailored to your students.

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