Mass Calculator

Calculate Mass from Volume and Density

How to Calculate Mass

Mass is a fundamental property of matter that represents the amount of material in an object. It's often confused with weight, but unlike weight, mass remains constant regardless of location. Calculating mass is essential in various fields, including physics, chemistry, and engineering.

What is the Formula?

The formula for calculating mass from volume and density is:

\[ m = \rho \cdot V \]

Where:

  • \(m\) is the mass (typically in kilograms, kg)
  • \(\rho\) (rho) is the density (typically in kilograms per cubic meter, kg/m³)
  • \(V\) is the volume (typically in cubic meters, m³)

What are the calculation steps?

  1. Determine the volume (V) of the object or substance in cubic meters (m³).
  2. Identify the density (ρ) of the material in kilograms per cubic meter (kg/m³).
  3. Multiply the volume by the density to calculate the mass.

Example Calculation

Let's calculate the mass of a block of aluminum:

Given:

  • Volume (V) = 0.5 m³
  • Density of aluminum (ρ) = 2700 kg/m³

Step 1: Identify the formula for mass

\(m = \rho \cdot V\)

Step 2: Substitute the known values

\(m = 2700 \text{ kg/m³} \cdot 0.5 \text{ m³}\)

Step 3: Calculate the result

\(m = 1350 \text{ kg}\)

Therefore, the mass of the aluminum block is 1350 kg.

Diagram of Mass Calculation

The following diagram illustrates the concept of mass calculation:

Volume (V) Density (ρ) Mass (m) = ρ · V

This diagram shows how mass is determined by the product of an object's volume and its density. The orange box represents the volume, while its shade represents the density. The resulting mass is the product of these two properties.