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Answer :
Approximately 13.67 kg of silver is needed to make the new model.
To find the mass of silver needed to make the new model, we need to compare the densities of iron and silver.
First, let's calculate the volume of the original model made of iron. We can use the formula:
Volume = Mass / Density
Given that the mass of the iron model is 10.35 kg and the density of iron is 7.86 x 10^3 kg/m^3, we can substitute these values into the formula:
Volume = 10.35 kg / (7.86 x 10^3 kg/m^3)
Simplifying the calculation, we get:
Volume = 0.0013169 m^3
Now, let's determine the mass of silver needed to make the new model. We can use the formula:
Mass = Volume x Density
Given that the density of silver is not provided, we will assume it to be the same as gold, which is 10.4 x 10^3 kg/m^3.
Substituting the values into the formula, we get:
Mass = 0.0013169 m^3 x (10.4 x 10^3 kg/m^3)
Simplifying the calculation, we find that the mass of silver needed to make the new model is:
Mass = 13.67096 kg
Therefore, approximately 13.67 kg of silver is needed to make the new model.
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