Mass to Density Calculator

Mass to Density Calculator - Calculate density from mass and volume

Density (kg/m³):

Density (g/cm³):

Density (oz/cu in):

Density (lb/cu in):

Density (lb/cu ft):

Density (lb/cu yd):

What is Density

Density is the mass of a substance per unit volume, typically measured in kg/m³. It describes how compact or concentrated a material is. The density of a substance can be calculated using the formula \(\rho = \frac{m}{V}\), where \(m\) is the mass and \(V\) is the volume. For example, a higher mass in a smaller volume results in a higher density, while a lower mass in a larger volume results in a lower density. Common examples include water (density ~1000 kg/m³) and air (density ~1.225 kg/m³ at sea level).

This calculator allows you to determine the density of any material by inputting its mass and volume, with support for various units.

How to Calculate Density

Density Calculation: The density is calculated using the formula:

\(\rho = \frac{m}{V}\)

Where:

\(\rho\) = Density (kg/m³)
\(m\) = Mass (kg)
\(V\) = Volume (m³)

Example Calculation: Let’s calculate the density based on the image example with a mass of 25 kg and a volume of 22 m³:

Use the formula: \(\rho = \frac{m}{V} = \frac{25}{22}\).
Compute: \(\rho \approx 1.1364 \, \text{kg/m³}\), which matches the image result.

Use the form above to input your mass and volume values with the desired units, and the calculator will convert them internally to provide the density in multiple units.

Density Units and Conversions

The SI unit for density is kilogram per cubic meter (kg/m³). Other convenient units include:

Gram per cubic centimeter (g/cm³): 1 g/cm³ = 0.001 kg/m³
Kilogram per liter (kg/L): 1 kg/L = 1000 kg/m³
Gram per milliliter (g/mL): 1 g/mL = 1000 kg/m³

Imperial units for density include:

Pound per cubic foot (lb/cu ft)
Pound per cubic yard (lb/cu yd): 1 lb/cu yd ≈ 0.037 lb/cu ft
Ounce per cubic inch (oz/cu in): 1 oz/cu in = 108 lb/cu ft
Pound per gallon (US) (lb/US gal): 1 lb/US gal ≈ 7.48 lb/cu ft

The calculator displays density in multiple units for convenience, allowing you to choose the unit that best suits your needs.

Standard Densities

Density varies depending on the material. Some standard densities at room temperature (20 °C) include:

Water: \(\rho \approx 1000 \, \text{kg/m³}\)
Air: \(\rho \approx 1.225 \, \text{kg/m³}\)
Iron: \(\rho \approx 7870 \, \text{kg/m³}\)
Gold: \(\rho \approx 19300 \, \text{kg/m³}\)

Use this calculator to compare the density of your material against these standards by inputting its mass and volume.

What is Mass?

Mass is the amount of matter in an object, typically measured in kilograms (kg), grams (g), pounds (lb), or ounces (oz). It is a scalar quantity and remains constant regardless of location, unlike weight, which varies with gravity. In this calculator, mass is used as the numerator in the density formula.

What is Volume?

Volume is the amount of space an object occupies, typically measured in cubic meters (m³), cubic centimeters (cm³), liters (L), cubic feet (ft³), or cubic inches (in³). It is the denominator in the density formula and can be calculated or measured depending on the object’s shape (e.g., using length × width × height for a rectangular prism).

FAQs

How do you calculate density from mass and volume?

To calculate density:

Measure the mass \( m \) in kilograms (kg).
Measure the volume \( V \) in cubic meters (m³).
Use the formula: \(\rho = \frac{m}{V}\).

What is the density of water?

The density of pure water at 20 °C is approximately 1000 kg/m³. You can verify this by inputting a mass of 1000 kg and a volume of 1 m³ into the calculator.