Solved IB ACIO Question
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Q · Dice and Cubemedium · 45s
A cube of side 84 cm is painted yellow on all faces and cut into smaller cubes of side 14 cm each. How many smaller cubes have exactly two faces painted?
TopicDice and Cube
Question Typemultiple choice
Difficultymedium
Marking+1 / −0.25
Test Duration30 min
← Previous questionQ 30 / 30
Step-by-Step Solution
The complete worked solution.
Every step explained — no skipped algebra.
n = 84/14 = 6. Number of cubes with two faces painted = 12(n - 2) = 12(6 - 2) = 12 × 4 = 48.
Final Answer: Option A — 72