How much wood is used to make 100 packs of 10 boxes of matches each, if each box contains 38 matches

How much wood is used to make 100 packs of 10 boxes of matches each, if each box contains 38 matches that are 5 cm long, 2 mm wide and 2 mm high? A third of the wood used is waste.

Let’s calculate the total number of matches:
100 * 10 * 38 = 38,000 matches.
Find the volume of the match in mm ^ 3:
50 * 2 * 2 = 200mm ^ 3
Then the total volume of matches is equal to:
3800 * 200 = 760,000 mm ^ 3
Since in the manufacture of 1/3 waste will be, the total volume of wood is:
760,000 * 4 / 3≈1010000 mm ^ 3.