MathDB
Problems
Contests
National and Regional Contests
Sweden Contests
Swedish Mathematical Competition
1962 Swedish Mathematical Competition
5
5
Part of
1962 Swedish Mathematical Competition
Problems
(1)
max cube inside a regular tetrahedron
Source: 1962 Swedish Mathematical Competition p5
3/21/2021
Find the largest cube which can be placed inside a regular tetrahedron with side
1
1
1
so that one of its faces lies on the base of the tetrahedron.
geometry
3D geometry
max
cube
tetrahedron