Technical system of units

1. The problem statement, all variables and given/known data

The specific mass of iron doesn´t seem right in the technical system.

Iron is about 8[gr/cm³]

I know the weight of 1[m³] steel is about 8 tons.



2. Relevant equations

The definition of the kilogram-force unit in the tehnical system is the weight of a mass of 1 kilogram:

1[kgf]=>1[kg]x10



3. The attempt at a solution`

That was the definition, now:

1[kgf]=0.1[kg-mass]x10

=>1[kg]=0.1[kg-mass]

8[gr/cm³]=8000[kg/m³]

I have to divide the mass with 10 to get gk-mass:

8000[kg/m³]=800[kg-mass/m³]

And in a book it´s written that a certain metal wire has a density of 10,300[kg-mass/m³]

So my solution is about 10 times too low