Multiple choice

A cube of edge is 14 cm long has a circle on each faces painted. What is the total area remain unpainted of the cube, if the circle is the largest possible made on the face?

  1. 192 cm$^2$
  2. 222 cm$^2$
  3. 212 cm$^2$
  4. 242 cm$^2$
  5. 252 cm$^2$
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Each face of the cube has area 14×14 = 196 cm². The largest circle on a face has diameter 14 cm, radius 7 cm, area π×7² = 154 cm². Unpainted area per face = 196 - 154 = 42 cm². Total unpainted area on 6 faces = 6 × 42 = 252 cm².

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