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Australian AMC 2018 - Senior Question 22

AMC AUSTRALIA · Australian AMC 2018 - Senior

Question 22

A tetrahedron is inscribed in a cube of side length 2 as shown. What is the volume of the tetrahedron?

Question illustration
  1. $\frac83$
  2. 4
  3. $\frac{16}3$
  4. $\sqrt6$
  5. $8-2\sqrt2$