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APMOPS 2016 Question 8

APMOPS · APMOPS 2016

Question 8

Three cubes have different lengths of 3 cm, 4 cm and 5 cm respectively. All faces of the cubes were painted red. If all three cubes were cut up into smaller 1-cm cubes, find the number of 1-cm cubes that has at least one face painted red.