Solved IB ACIO Question
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Q · Dice and Cubemedium · 45s
A cube of side 100 cm is painted red on all faces and cut into smaller cubes of side 20 cm each. How many smaller cubes have at least two faces 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 = 100/20 = 5. Total cubes = 5³ = 125. No faces painted = (5 - 2)³ = 27. One face painted = 6(5 - 2)² = 6 × 9 = 54. At least two faces painted = 125 - (27 + 54) = 44.
Final Answer: Option A - 76