differentiate between density,mass and volume. state a formula in terms of mass density and volume. using the formula calculate the volume of a 10kg block of ice
Density, mass, and volume are three fundamental concepts in physics and mathematics that describe the properties of objects.
1. Mass: Mass refers to the amount of matter present in an object. It is a scalar quantity and is measured in kilograms (kg). The mass of an object remains the same regardless of its location.
2. Volume: Volume is the amount of space occupied by an object. It is a three-dimensional concept and is measured in cubic meters (m³) or other cubic units. The volume of an object can change depending on the shape and size of the object.
3. Density: Density is the measure of mass per unit volume. It determines how closely packed the particles are within a substance. Density is a scalar quantity and is often represented by the symbol "ρ" (rho). It is measured in kilograms per cubic meter (kg/m³) or other units like grams per cubic centimeter (g/cm³).
The formula relating mass, density, and volume is:
Density (ρ) = Mass (m) / Volume (V)
To calculate the volume of a 10 kg block of ice using the given density, we need to know the density of ice. The density of ice is approximately 917 kg/m³.
We can rearrange the formula to solve for volume:
Volume (V) = Mass (m) / Density (ρ)
Substituting the given values:
Volume (V) = 10 kg / 917 kg/m³
Calculating the value:
Volume (V) ≈ 0.0109 m³ (rounded to four decimal places)
Therefore, the volume of a 10 kg block of ice is approximately 0.0109 cubic meters.