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1980 AMC 12 Question 26

AMC12 · 1980 AMC 12

Question 26

Four balls of radius $1$ are mutually tangent, three resting on the floor and the fourth resting on the others. A tetrahedron, each of whose edges has length $s,$ is circumscribed around the balls. Then $s$ equals
  1. $4\sqrt2$
  2. $4\sqrt3$
  3. $2\sqrt6$
  4. $1+2\sqrt6$
  5. $2+2\sqrt6$