Volume Calculator
Select a shape, enter dimensions, get volume instantly
1. Choose a shape
2. Enter dimensions
Please enter positive numbers for all dimensions.
Volume
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Enter values above to see result
How to Calculate Volume
Volume is the amount of three-dimensional space enclosed by a shape. It is measured in cubic units (cm³, m³, in³, etc.). To calculate volume, you need to know the dimensions of the shape (such as length, width, height, or radius) and apply the correct mathematical formula for that shape.
This calculator supports 8 common geometric shapes and automatically converts your result into multiple units including liters, gallons, and cubic feet.
Volume Formulas for Every Shape
The following table lists the volume formula for each of the 8 supported shapes:
|
Shape |
Formula |
|
Cube |
V = a³ |
|
Box (Rectangular Prism) |
V = l × w × h |
|
Sphere |
V = (4/3)πr³ |
|
Cylinder |
V = πr²h |
|
Cone |
V = (1/3)πr²h |
|
Rectangular Pyramid |
V = (1/3) × l × w × h |
|
Hemisphere |
V = (2/3)πr³ |
|
Capsule |
V = πr²(h + 4r/3) |
Frequently Asked Questions
What is volume?
Volume is the quantity of three-dimensional space occupied by a solid object. It is expressed in cubic units such as cubic centimeters (cm³), cubic meters (m³), liters, or gallons.
How do I find the volume of a box?
Multiply its length, width, and height together: V = l × w × h. For example, a box that is 5 cm × 3 cm × 2 cm has a volume of 30 cm³.
What is the difference between volume and capacity?
Volume refers to the space an object occupies. Capacity refers to how much a container can hold. For practical purposes they are interchangeable — 1 liter = 1,000 cm³.
Common Volume Unit Conversions
The table below shows key conversion factors between common volume units:
|
From |
To |
Multiply by |
|
1 cm³ |
1 mL (milliliter) |
1 |
|
1 L (liter) |
1,000 cm³ |
1,000 |
|
1 m³ |
1,000 liters |
1,000 |
|
1 in³ |
16.387 cm³ |
16.387 |
|
1 ft³ |
28,316.8 cm³ |
28,316.8 |
|
1 US gallon |
3,785.4 cm³ |
3,785.4 |