Packing small boxes

How many small boxes will fit inside the big box?
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A large box measures 1.7 m by 1.2 m by 1.5 m.

It is to be packed with smaller boxes each measuring 15 cm by 20 cm by 20 cm.

What is the greatest number of small boxes that can be fitted into the larger box, assuming that they are all placed in the same orientation?

This problem is taken from the World Mathematics Championships