Math

Volume Calculator

Calculate volume and surface area of 3D shapes with ease.

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Volume Calculator

3D Shape

Side Length

Length

Width

Height

Radius

Base Area

Results

Formula & Methodology

Cube: V = s³, SA = 6s²
Cuboid: V = l×w×h, SA = 2(lw+lh+wh)
Cylinder: V = πr²h, SA = 2πr(r+h)
Sphere: V = (4/3)πr³, SA = 4πr²
Cone: V = (1/3)πr²h
Pyramid: V = (1/3)×B×h

About Volume Calculator

The volume calculator computes both volume and surface area for six common 3D shapes. Enter your dimensions, select the shape, and get instant results with the formula used.

Frequently Asked Questions

Volume = length × width × height. For example, a box 4m × 3m × 2m has a volume of 24 cubic meters. This is also called a rectangular prism or cuboid.

Volume of a sphere = (4/3) × π × r³, where r is the radius. For a sphere with radius 3, V = (4/3) × π × 27 ≈ 113.1 cubic units.

Volume of a cylinder = π × r² × h, where r is the radius of the circular base and h is the height. For a cylinder with r = 2 and h = 5: V = π × 4 × 5 ≈ 62.83 cubic units.

Volume of a cone = (1/3) × π × r² × h, where r is the base radius and h is the height. This is one-third of a cylinder with the same base and height.

Volume is measured in cubic units: cm³, m³, km³, in³, ft³, yd³. For liquids: milliliters (mL), liters (L), gallons, fluid ounces. Note: 1 L = 1,000 cm³ = 1,000 mL.

Calculate the volume in cm³ or mm³, then convert: 1 cm³ = 1 mL, so 1,000 cm³ = 1 liter. For a tank 50cm × 30cm × 40cm: V = 60,000 cm³ = 60 liters.

Volume is the amount of 3D space an object occupies. Capacity is the amount a container can hold (its interior volume). They use the same formula but different perspectives.

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