A motor company shows a model of its first automobile, made of 10.35 kg of iron. To celebrate one hundred years of business, a worker is asked to build the model in silver based on its original.

To celebrate 100 years of business, a worker is asked to build the model in silver based on its original. How much mass of silver is needed to make the new model? The density of iron is 7.86 X 103 kg/m3, and that of gold is 10.4 X 103 kg/m3.

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.

Know more about Volume click here:

https://brainly.com/question/4595861

#SPJ11