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Three Cubes

Can you work out the dimensions of the three cubes?

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Cubic Conundrum

Which of the following cubes can be made from these nets?

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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.

Peeling the Apple or the Cone That Lost Its Head

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

This is a nice activity to take slowly and build up understanding in each part.

It also makes a nice lead in towards maths at the next level, especially if the spreadsheet is used to improve accuracy as each fustum height becomes smaller without limit.