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A soap bar 6 cm long, 4 cm wide and 3 cm high is coated in colour on all its faces and cut into 1 cm cubes. How many cubes have no colour?

Competition practiceDice & Cubes
  • A8
  • B24
  • C12
  • D6

Step-by-Step Solution

The uncoloured cubes form the inner block left after removing one layer from each face: . (24 removes a layer from one end of each dimension only.)
Answer: A) 8

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