Volume Calculator (m³)
Use this calculator to find volume in cubic meters for common 3D shapes. Enter dimensions, choose your unit, and click calculate.
Result is always shown in cubic meters (m³) and liters (L).
What does m³ mean?
The symbol m³ means cubic meter, which is a unit of volume in the metric system. A cubic meter is the volume of a cube that measures 1 meter on each side:
- 1 m × 1 m × 1 m = 1 m³
- 1 m³ = 1,000 liters
- 1 m³ = 1,000,000 cubic centimeters (cm³)
If you're working with water tanks, shipping space, concrete, soil, room capacity, or storage planning, cubic meters are often the standard way to express size.
How to calculate volume in m³
The basic strategy is simple:
- Pick the formula for your shape.
- Convert all dimensions to meters (if they are not already).
- Apply the formula and get the answer in m³.
1) Rectangular prism (box)
This is the most common calculation for rooms, crates, and containers.
Formula: V = L × W × H
- L = length in meters
- W = width in meters
- H = height in meters
2) Cylinder
Used for pipes, silos, water tanks, and round containers.
Formula: V = πr²h
- r = radius in meters
- h = height in meters
3) Sphere
Used less often in practical construction, but common in science and some engineering tasks.
Formula: V = (4/3)πr³
4) Cone
Useful for hoppers, funnels, and conical tanks.
Formula: V = (1/3)πr²h
Quick conversion table to meters
| Unit | Convert to meters (m) | Example |
|---|---|---|
| millimeter (mm) | divide by 1000 | 500 mm = 0.5 m |
| centimeter (cm) | divide by 100 | 250 cm = 2.5 m |
| foot (ft) | multiply by 0.3048 | 10 ft = 3.048 m |
| inch (in) | multiply by 0.0254 | 24 in = 0.6096 m |
| yard (yd) | multiply by 0.9144 | 2 yd = 1.8288 m |
Worked examples
Example A: Shipping carton
A box is 120 cm long, 80 cm wide, and 60 cm high.
- Convert to meters: 1.2 m, 0.8 m, 0.6 m
- V = 1.2 × 0.8 × 0.6 = 0.576 m³
Final answer: 0.576 m³ (or 576 L).
Example B: Cylindrical tank
Radius = 0.9 m, height = 2.2 m.
- V = π × 0.9² × 2.2
- V ≈ 5.60 m³
Final answer: approximately 5.60 m³ (about 5,600 L).
Example C: Concrete slab
A slab is 8 m long, 4 m wide, and 0.15 m thick.
- V = 8 × 4 × 0.15 = 4.8 m³
You need about 4.8 cubic meters of concrete before adding waste margin.
Common mistakes to avoid
- Mixing units (for example, length in meters and width in centimeters).
- Using diameter instead of radius in cylinder/sphere formulas.
- Forgetting thickness/depth when estimating materials like gravel or concrete.
- Rounding too early, which can create noticeable errors in large projects.
Where volume in m³ is used in real life
- Construction (concrete, excavation, fill material)
- Logistics and freight pricing
- Water storage and treatment systems
- HVAC and room-space calculations
- Agriculture (soil, compost, and tank sizing)
Final tip
If you want reliable results, always measure carefully and keep every dimension in the same unit before calculating. Use the calculator above to quickly convert and compute your answer in cubic meters.