Select a 3D shape and enter its dimensions to calculate volume. Choose from Sphere, Cone, Cube, Cylinder, Rectangular Box, Capsule, Conical Frustum, Ellipsoid, or Square Pyramid. Enter values like radius, height, edge length, or semi-axes depending on the shape, and get the volume in cubic units along with the formula used.
Volume
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Formula Used
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Volume (if units = meters)
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Volume in Liters (if units = meters)
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Volume is the amount of three-dimensional space that an object or substance occupies. It is typically measured in cubic units such as cubic meters (m³), cubic centimeters (cm³), or cubic inches (in³). For containers, volume usually refers to the capacity — how much a container can hold.
Each 3D shape has its own formula. For a sphere it's (4/3)πr³, for a cylinder it's πr²h, for a cube it's s³, and for a cone it's (1/3)πr²h. Simply select your shape, enter the required dimensions, and the calculator applies the correct formula automatically.
Volume is measured in cubic units. Common units include cubic meters (m³), cubic centimeters (cm³), cubic feet (ft³), cubic inches (in³), and liters (L). One liter equals 0.001 cubic meters or 1000 cubic centimeters.
Volume is always expressed in cubic (³) units because it measures three-dimensional space — length × width × height. Area, which measures two-dimensional space, is expressed in squared (²) units. For example, a box 2m × 3m × 4m has an area of 6 m² on one face but a volume of 24 m³.
A rectangle is a 2D shape and has no volume — only area. A rectangular box (also called a rectangular prism) is a 3D solid with length, width, and height. Its volume is calculated as V = length × width × height.
For irregular solids, you can use water displacement: submerge the object in water and measure how much the water level rises. The volume of water displaced equals the volume of the object. This works for any solid that doesn't absorb water.
A conical frustum is the shape that remains when the top of a cone is cut off with a plane parallel to its base. It looks like a truncated cone with two circular faces of different radii. Its volume is V = (πh/3)(r₁² + r₁r₂ + r₂²), where r₁ and r₂ are the top and bottom radii and h is the height.
A capsule is a cylinder with two hemispherical ends capped onto each side. A standard cylinder has flat circular ends. The volume of a capsule is the volume of the cylinder plus the volume of a full sphere with the same radius: V = πr²h + (4/3)πr³.