Loading calculator…

Volume Calculator - Calculate 3D Shape Volume

Convert volume units between liter, milliliter, gallon, quart, pint, cup, fluid ounce, cubic meter, and cubic centimeter. Fast and accurate volume conversion for cooking, chemistry, engineering, and everyday measurements.

3D Shape Volume Formulas

V = length × width × height (rectangular prism)

Variables:

  • V Cubes³ (side cubed)
    s³ (side cubed)(e.g.: V = 5³ = 125 cm³)
  • V Rectangular Prisml × w × h
    l × w × h(e.g.: V = 4 × 3 × 2 = 24 cm³)
  • V Sphere(4/3)πr³
    (4/3)πr³(e.g.: V = (4/3) × π × 3³ ≈ 113.1 cm³)
  • V Cylinderπr²h
    πr²h(e.g.: V = π × 2² × 5 ≈ 62.8 cm³)
  • V Cone(1/3)πr²h
    (1/3)πr²h(e.g.: V = (1/3) × π × 3² × 4 ≈ 37.7 cm³)
  • V Pyramid(1/3) × Base Area × h
    (1/3) × Base Area × h(e.g.: V = (1/3) × 16 × 6 = 32 cm³)

How to Use the KalkuLab Volume Calculator

  1. 1

    Select Shape

    Choose the 3D shape: cube, rectangular prism, sphere, cylinder, cone, prism, or pyramid.

  2. 2

    Enter Dimensions

    Input the required dimensions (side length, radius, height, etc.).

  3. 3

    Select Unit

    Choose the measurement unit: cm³, m³, liters, ml, etc.

  4. 4

    View Result

    Volume is displayed along with conversions to other units.

Examples

Cube Volume

Problem:

Calculate the volume of a cube with side length 4 cm

Solution:
  1. 1.V = s³
  2. 2.V = 4³
  3. 3.V = 4 × 4 × 4
Result:64 cm³

A cube with 4 cm sides has a volume of 64 cm³ or 0.064 liters.

Sphere Volume

Problem:

Calculate the volume of a sphere with radius 6 cm

Solution:
  1. 1.V = (4/3)πr³
  2. 2.V = (4/3) × 3.14159 × 6³
  3. 3.V = (4/3) × 3.14159 × 216
  4. 4.V = 4.1888 × 216
Result:904.78 cm³

A sphere with r=6 cm has a volume of about 905 cm³ or 0.9 liters.

Cylinder Volume

Problem:

Calculate the volume of a cylinder with radius 5 cm and height 10 cm

Solution:
  1. 1.V = πr²h
  2. 2.V = 3.14159 × 5² × 10
  3. 3.V = 3.14159 × 25 × 10
Result:785.4 cm³

The cylinder volume is 785.4 cm³ or 0.785 liters.

Frequently Asked Questions

What is the difference between volume and capacity?
Volume is the space occupied by an object (measured in m³, cm³), while capacity is the volume a container can hold (often measured in liters). 1 liter = 1000 cm³ = 0.001 m³.
How do I calculate volume of irregular shapes?
For irregular shapes, use water displacement: submerge the object and measure the volume of water displaced. Alternatively, break it into regular shapes.
Why does sphere volume use (4/3)?
The 4/3 constant comes from calculus integration. Intuitively, a sphere fills about 52% of the cube that encloses it (side = 2r), and (4/3)π/8 ≈ 0.52.
How do I convert volume units?
Common conversions: 1 m³ = 1000 liters = 1,000,000 cm³. 1 liter = 1000 ml = 1000 cm³. 1 US gallon ≈ 3.785 liters.
What are practical uses of volume calculations?
Volume calculations are useful for: water tank capacity, concrete pour volume, bathtub size, liquid medicine dosage, refrigerator capacity, and shipping volume planning.

Related Calculators

Area & Perimeter Calculator

2D shapes

Pythagorean Theorem Calculator

3D shape diagonals

Concrete Volume Calculator

Construction applications

Volume Converter

Liters to m³

References