Solved IB ACIO Question
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Q · Dice and Cubemedium · 45s
A cube of side 72 cm is painted green on all faces and cut into smaller cubes of side 9 cm each. How many smaller cubes have at least 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 = 72/9 = 8. Total cubes = 8³ = 512. No faces painted = (8 - 2)³ = 6³ = 216. At least one face painted = 512 - 216 = 296.
Final Answer: Option A — 343