⚖️ Mass Calculator

Material Density × Volume = Mass — Calculate mass by entering material type and shape dimensions.

Select Material

Select Shape

Length (cm)

Width (cm)

Height (cm)

Volume

— cm³

Mass

— g

GUIDE

Complete Mass Calculation Guide (2025)

Basic Principles and Formulas of Mass Calculation

Mass represents the amount of matter in an object, calculated with the formula: Mass = Density × Volume. Density (ρ) is mass per unit volume, and volume (V) is the space occupied. For example, a 10cm × 10cm × 10cm iron cube (density 7.87 g/cm³) has mass: 7.87 × 1000 = 7,870g = 7.87kg. Aluminum (2.70 g/cm³) would be 2,700g = 2.7kg, about 3 times lighter. Mass is constant regardless of location or gravity, unlike weight which varies. Units: g (gram), kg (kilogram), ton. 1kg = 1000g, 1ton = 1000kg.

Volume Calculation Methods by Shape

1. Cube/Cuboid: Volume = length × width × height. Example: 5m × 3m × 2m concrete block = 30m³. With concrete density 2.3 g/cm³, mass = 69,000kg = 69 tons. 2. Cylinder: Volume = π × radius² × height. Example: radius 10cm, height 20cm iron pipe = π × 10² × 20 = 6,283 cm³. With iron density 7.87 g/cm³, mass = 49.4kg. 3. Sphere: Volume = (4/3) × π × radius³. Example: radius 5cm gold sphere = 523.6 cm³. With gold density 19.32 g/cm³, mass = 10.1kg.

Material Densities and Mass Characteristics

Construction Materials: Concrete 2.3~2.4 g/cm³ (1m³ = 2.3~2.4 tons), steel rebar 7.85 g/cm³, brick 1.8~2.0 g/cm³, wood (pine) 0.5~0.6 g/cm³. Metals: Iron 7.87 g/cm³, aluminum 2.70 g/cm³, copper 8.96 g/cm³, lead 11.34 g/cm³, titanium 4.51 g/cm³. Aircraft use lightweight aluminum alloys (2.7~2.8 g/cm³), cars use steel (7.85 g/cm³). Precious Metals: Gold 19.32 g/cm³, platinum 21.45 g/cm³, silver 10.49 g/cm³. 1L gold weighs 19.3kg.

Mass Calculation in Construction and Manufacturing

Construction: Load calculation is essential for reinforced concrete structures. A 5-story building floor (100m², 20cm thick) concrete mass: 100 × 0.2 = 20m³ → 46 tons. Adding rebar (10%) gives ~50 tons per floor. Manufacturing: Aluminum window frame production requires accurate material calculation. Length 2m, cross-section 20cm² = 108g per frame. For 1000 frames: 108kg aluminum needed. Logistics: Container shipping requires weight limits (20ft container max 24 tons) calculation.

Load Calculation and Structural Design

Floor Load: Living room floor (4m × 5m = 20m²) with 5cm concrete finishing: volume = 1m³ = 2.3 tons. Adding furniture and live load (200kg/m²) requires design for 4+ tons total. Crane Operations: Lifting steel beam (H-400×200×8×13, 10m length): cross-section ~84cm², volume 84,000 cm³ × 7.85 = 659kg. With safety factor 1.5, calculate as 1 ton. Bridge Design: 50m × 10m bridge deck (30cm concrete) self-weight: 345 tons.

Mass Measurement Tools and Precision

1. Electronic Scales: From household (0.1g precision) to industrial (0.001g precision). Precious metal trading requires 0.01g precision - 1g error = significant loss. 2. Large Scales: Truck scales (max 100 tons), crane scales (max 50 tons) for cargo and steel weighing. 3. Indirect Measurement: Large structures measured by dimensions × density. Ships, aircraft, bridges use 3D modeling + material density. 4. Non-destructive Testing: Ultrasound, X-ray detect internal voids affecting actual density.

Frequently asked questions

What formula does this calculator use?

It uses Mass = Density × Volume. The volume formula depends on the shape you pick (cube, cylinder, or sphere), and the result is multiplied by the density of the selected material.

What if my material isn't in the list?

If you know the material's density in g/cm³, calculate the volume separately and multiply it by that density manually. The built-in list covers common materials like water, aluminum, iron, copper, and gold.

Do all dimensions need to use the same unit?

Yes — length, width, height, and radius must all be entered in the same unit (e.g., cm) for an accurate result. Mixing units (like meters and centimeters) will produce a badly skewed answer.

Why might the result differ from the real-world weight?

This calculator assumes a perfect solid shape and a theoretical density value. Cast parts with internal voids or materials with impurities can end up 5-10% lighter than the calculated figure.

What is the difference between mass and weight?

Mass is the amount of matter in an object and stays constant regardless of gravity, while weight depends on gravitational force. This tool outputs mass (g, kg, ton), which on Earth's surface is commonly treated as numerically equal to weight.