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IKMC 2027 - Grades 5-6 - Self-study SET 3 - Thematic Batch 3 Question 6

IKMC · IKMC 2027 - Grades 5-6 - Self-study SET 3 - Thematic Batch 3

Question 6

An open rectangular box measures 5 × 6 × 7. Its base is 5 × 6, two side walls are 5 × 7, and the other two are 6 × 7. It is filled by 210 unit cubes of size 1 × 1 × 1. How many cubes have a face touching one of the enclosing faces of the box?

Question illustration

Editorial clarification: The listed box has a base and four side walls; no lid is included.
  1. 90
  2. 110
  3. 135
  4. 138
  5. 150