Cubes into cuboid

How many 12 centimeter cubes fit into the block (cuboid) with 6dm, 8,4dm and 4,8?

Correct result:

n =  140

Solution:

a1=12/10=65=1.2 dm V1=a13=1.23=216125=1.728 dm3  a=6 dm b=8.4 dm c=4.8 dm V2=a⋅ b⋅ c=6⋅ 8.4⋅ 4.8=604825=241.92 dm3  n=V2/V1=241.92/1.728=140

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