Question

A wooden block 72cm long,42cm wide and 36cm high,is to be cut into cubical blocks of side 7cm.What is the maximum number of cubical blocks obtained?

Answer 1

Answer:

  300

Explanation:

The larger block can be cut into 7 cm pieces for a total of 10 pieces along the 72 cm dimension, 6 pieces along the 42 cm dimension, and 5 pieces along the 36 cm dimension. That will yield a total of

  10 × 6 × 5 = 300 . . . cubical blocks

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Remaining scraps could be fastened together to make additional blocks.