Solved IB ACIO Question
A solved IB ACIO PYQ — decoded step-by-step.
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Q · Dice and Cubemedium · 45s
A cube of side 75 cm is painted yellow on all faces and cut into smaller cubes of side 15 cm each. How many smaller cubes have exactly one face painted?
TopicDice and Cube
Question Typemultiple choice
Difficultymedium
Marking+1 / −0.25
Test Duration30 min
Step-by-Step Solution
The complete worked solution.
Every step explained — no skipped algebra.
n = 75/15 = 5. Number of cubes with one face painted = 6(n - 2)² = 6(5 - 2)² = 6 × 9 = 54.
Final Answer: Option B — 96