If a box has a length of 6cm width of 6 cm and height of 10cm how many boxes does it take to fill a box with 30cm length 30cm width and 80cm height?

Answer 1

Because the sizes are proportional, you can see that 5 x 5 x 8 or 200 small boxes will fill the larger box. (30/6, 30/6, and 80/10)

To verify by the volume,

-- the larger box is 30 x 30 x 80 = 72000 cm3

-- the smaller boxes are 6 x 6 x 10 = 360 cm3

-- the division 72000/360 = 200

This would be complicated if the proportions were uneven, or if the boxes had to be placed in a certain orientation within the larger box (one side up, pallet patterns, etc.).