Surface and surface area
problem
The big cheese
Investigate the area of 'slices' cut off this cube of cheese. What
would happen if you had different-sized block of cheese to start
with?
problem
Wrapping presents
Choose a box and work out the smallest rectangle of paper needed to
wrap it so that it is completely covered.
article
When the angles of a triangle don't add up to 180 degrees
This article outlines the underlying axioms of spherical geometry giving a simple proof that the sum of the angles of a triangle on the surface of a unit sphere is equal to pi plus the area of the triangle.