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IMAS 2023–2024 Upper Primary — First Round Question 8

IMAS · IMAS 2023–2024 Upper Primary — First Round

Question 8

The diagram below shows a stack of 12 equal cubes of side-length $a$ m each. In each cube, the length of a diagonal of a face is $b$ m. An ant is travelling on the surface of these cubes from point $A$ to point $B$. What is the length, in m, of the shortest path the ant can take?
Question illustration
  1. $5a$
  2. $4b$
  3. $3b+a$
  4. $7a$
  5. $2b+3a$