SOLUTION: How many pieces of soap 10cm by 6cm by 4cm can be packed into a box half a meter long, 4dm wide and 3dm high?

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Question 1012973: How many pieces of soap 10cm by 6cm by 4cm can be packed into a box half a meter long, 4dm wide and 3dm high?
Answer by ikleyn(52802) About Me  (Show Source):
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How many pieces of soap 10 cm by 6 cm by 4 cm can be packed into a box half a meter long, 4 dm wide and 3 dm high?
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Put  6 cm along 3 dm = 30 cm  5 times.

Put  4 cm along 4 dm = 40 cm 10 times.

Put 10 cm along 0.5 m = 50 cm 5 times.

The number is 5*10*5 = 250.

It will be no remaining empty space in the box.

It means that we put maximal possible number of pieces of soap into the box.