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IKMC 2027 - Grades 7-8 - Self-study SET 15 - Thematic Batch 3 Question 7

IKMC · IKMC 2027 - Grades 7-8 - Self-study SET 15 - Thematic Batch 3

Question 7

An ant wants to travel from K to L along the shortest possible route on the surface of the rectangular box shown, whose edges are a,b,c. Find the route length.

Editorial model: The ant may use every exterior face. No inequality between a,b,c is assumed from the sketch. The source restricts its calculation to one face pair.

Question illustration
  1. a + b + c
  2. √(a² + b² + c²)
  3. √(a² + b² + c² + 2ac)
  4. √(a² + b² + c² + 2bc)
  5. Depends on a,b,c