Box Volume
V = length × width × heightThe volume of a rectangular box (cuboid) is length times width times height.
Where:
length= Length of the boxwidth= Width of the boxheight= Height of the boxCalculate volume of 3D shapes
Volume
30 cu ft
V = l × w × h
Surface Area
62 sq ft
V = l × w × h
1 m³
1,000 liters
1 ft³
7.48 gallons
1 gallon
3.785 liters
1 liter
1,000 cm³
V = length × width × heightThe volume of a rectangular box (cuboid) is length times width times height.
Where:
length= Length of the boxwidth= Width of the boxheight= Height of the boxV = (4/3)πr³The volume of a sphere is four-thirds times pi times the radius cubed.
Where:
r= Radius of the sphereπ= Pi, approximately 3.14159V = πr²hThe volume of a cylinder is pi times radius squared times height.
Where:
r= Radius of the circular baseh= Height of the cylinderInputs
Result
Volume = 5 × 3 × 2 = 30. Surface Area = 2 × (5×3 + 3×2 + 2×5) = 2 × (15 + 6 + 10) = 62.
Inputs
Result
Volume = (4/3) × π × 2³ = (4/3) × π × 8 = 33.51. Surface Area = 4 × π × 2² = 4 × π × 4 = 50.27.
Volume formulas vary by shape. Box: length × width × height. Sphere: (4/3)πr³. Cylinder: πr²h. Cone: (1/3)πr²h.
Use consistent units throughout. If measuring in meters, volume will be in cubic meters (m³). The calculator can convert between units.
1 m³ = 1,000 liters = 1,000,000 cm³. 1 ft³ = 7.48 gallons. 1 gallon = 3.785 liters.
Volume measures the 3D space an object occupies. Capacity refers to how much a container can hold. They use the same units but describe different concepts.
Volume measures the three-dimensional space occupied by an object or enclosed within a container. It is expressed in cubic units (cm³, m³, in³, ft³) or liquid measures (liters, gallons). Volume calculations are used in construction, shipping, cooking, and science.
Each 3D shape has its own volume formula. Regular shapes like cubes and rectangular prisms are straightforward (l × w × h). Curved shapes like spheres and cylinders require π (pi). Complex shapes can be calculated by breaking them into simpler components.
Practical applications of volume calculations include determining how much concrete, gravel, or soil you need, calculating container capacity for shipping, figuring out pool or aquarium water volume, and measuring ingredients in cooking.
Last Updated: Feb 12, 2026
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