📦 Knowledge · Geometry

How to Calculate
Volume

Formulas and free calculators for every 3D shape — cube, cuboid, sphere, cylinder, cone, and pyramid.

Volume Calculator

Cube
Cuboid
Sphere
Cylinder
Cone
Pyramid
s
V = side³
Volume
125
5³ = 125
Surface Area
150
6 × s²
length w h
V = l × w × h
Volume
72
6 × 4 × 3 = 72
r
V = (4/3) × π × r³
Volume
523.6
4/3 × π × 5³ = 523.6
Surface Area
314.16
4 × π × r²
r h
V = π × r² × h
Volume
502.65
π × 4² × 10 = 502.65
h r
V = (1/3) × π × r² × h
Volume
314.16
⅓ × π × 5² × 12 = 314.16
base (b) h
V = (1/3) × base area × h
Volume
108
⅓ × 36 × 9 = 108

Quick Reference

Cube
V = s³
Cuboid/Box
V = l × w × h
Sphere
V = (4/3)πr³
Cylinder
V = πr²h
Cone
V = (1/3)πr²h
Pyramid
V = (1/3) × base × h

Worked Examples

Fish Tank

Cuboid: 60×30×40 cm
V = 60 × 30 × 40
72,000 cm³ = 72 L

Ball

Sphere r = 7 cm
V = 4/3 × π × 7³
1,436.8 cm³

Tin Can

Cylinder r=4cm, h=15cm
V = π × 16 × 15
754 cm³ = 0.75 L

Ice Cream Cone

r=3cm, h=12cm
V = 1/3 × π × 9 × 12
113 cm³

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Frequently Asked Questions

What units are used for volume? ▾
Volume is in cubic units (cm³, m³, in³, ft³). Liquids are often measured in litres (L) or millilitres (mL). 1 litre = 1,000 cm³. Make sure all dimensions use the same unit before calculating.
How do I convert cm³ to litres? ▾
1 litre = 1,000 cm³. Divide cm³ by 1,000 to get litres. Example: 2,500 cm³ = 2.5 litres.
Why is the volume of a cone one-third of a cylinder? ▾
A cone with the same base and height as a cylinder can fit exactly three times inside the cylinder. This is why the cone formula has a factor of 1/3. The same logic applies to a pyramid versus a prism.