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Four Points on a Cube
Age 16 to 18
Challenge Level 
Why do this
problem?
It gives experience of using 3D coordinates, visualisation, and using the distance formula in 3D, and formulae for the area of a triangle.
Possible approach
A good diagram isessential. You might discuss and draw and label the diagram as a class effort and then the students could complete the calculatons independently.
Key questions
What are the coordinates of the vertices of the tetrahedron?
It gives experience of using 3D coordinates, visualisation, and using the distance formula in 3D, and formulae for the area of a triangle.
Possible approach
A good diagram isessential. You might discuss and draw and label the diagram as a class effort and then the students could complete the calculatons independently.
Key questions
What are the coordinates of the vertices of the tetrahedron?
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