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IKMC 2022 - Grades 11-12 - Set 2 - Self-study Question 29

IKMC · IKMC 2022 - Grades 11-12 - Set 2 - Self-study

Question 29

The top corners of a regular hexagonal prism are shaved off as shown. The top face becomes a smaller regular hexagon, and the six rectangular side faces become twelve isosceles triangles of two different sizes. What fraction of the original prism’s volume is lost?

Question illustration
  1. $1/12$
  2. $1/6$
  3. $\frac1{4\sqrt3}$
  4. $\frac1{6\sqrt2}$
  5. $\frac1{6\sqrt3}$