High School

A piece of iron has a volume of 25 cm cube mass 195 gram find the density of iron in gram per cm cube and kg per metre

Answer :

Final Answer:

The density of iron is 7.8 grams per cubic centimeter (g/cm³) or 7800 kilograms per cubic meter (kg/m³).

Explanation:

Density is calculated using the formula: Density (ρ) = Mass (m) / Volume (V).

In this case, the mass of the iron is given as 195 grams, and the volume is 25 cm³. We can plug these values into the formula:

ρ = 195 g / 25 cm³ = 7.8 g/cm³.

So, the density of iron is 7.8 grams per cubic centimeter (g/cm³).

To express the density in kilograms per cubic meter (kg/m³), we need to convert grams to kilograms and centimeters to meters:

1 kg = 1000 g

1 m = 100 cm

So, 7.8 g/cm³ can be converted to kg/m³ as follows:

ρ = (7.8 g/cm³) x (1 kg / 1000 g) x (1 / (100 cm / 1 m)) = 7800 kg/m³.

Hence, the density of iron is 7800 kilograms per cubic meter (kg/m³).

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