A 1 metre cube has one face on the ground and one face against a
wall. A 4 metre ladder leans against the wall and just touches the
cube. How high is the top of the ladder above the ground?
Four rods are hinged at their ends to form a convex quadrilateral.
Investigate the different shapes that the quadrilateral can take.
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Pyramidal N-gon
Age 14 to 16 Short Challenge Level
The base of a pyramid has $n$ edges. In terms of $n$, what is the difference between the number of edges of the pyramid and the number of faces?
If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.