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
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.
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