Volume Calculator

Find the volume of boxes, cubes, cylinders, spheres, cones, pyramids, hemispheres, capsules, frustums and ellipsoids.

Shape	Rectangular box (cuboid)
Length	10
Width	5
Height	4
Unit (optional)	cm

Shape

Length

Width

Height

Unit (optional)

Rectangular box (cuboid) volume

200cm³

Volume = length × width × height = 200 cm³.

Your box

1
Formula
V = length × width × height
2
With your measurements
Length = 10, Width = 5, Height = 4 → 200 cm³

About the Volume Calculator

Volume is the space a 3D shape takes up, in cubic units. One cubic metre holds 1,000 litres and one litre is 1,000 cm³, so a volume in cm³ divided by 1,000 gives litres. A US gallon is 231 in³.

The formula

Box: V = lwh; Cylinder: V = πr²h; Sphere: V = ⁴⁄₃πr³

Cone, pyramid: ⅓ of the matching prism or cylinder

Worked example

A water tank 120 × 50 × 40 cm

V = 240,000 cm³
= 240 litres

Questions people ask

How do I turn cm³ into litres?

Divide by 1,000.

Why is a cone ⅓ of a cylinder?

Calculus shows that tapering to a point uniformly leaves exactly one third of the volume.