Volume Calculator

Calculate volume for boxes, cylinders, spheres, cones, and other common solids.

Enter your values

Change any field. The result is recalculated on this device.

Formula, example and assumptions
Volume (m³)60

Your result

Local calculation
Volume (m³)60

Volume measures the space inside the selected solid. Enter every dimension in the same length unit; the result uses that unit cubed.

Solid
Rectangular box
Length unit used for every dimension
Metres
See how this is calculated
Check the inputs and method

These are your current inputs, not the worked example further down the page.

Solid
Rectangular box
Length unit used for every dimension
Metres
Length
5
Width
4
Height
3

Method

Box V = lwh; cylinder V = πr²h; sphere V = 4πr³/3; cone V = πr²h/3; rectangular pyramid V = lwh/3. r is radius and h is perpendicular height.

Read the worked example and assumptions

How this calculation works

Find the geometric volume of a box, cylinder, sphere, cone or rectangular pyramid. Select the solid first and enter every dimension in the same length unit. The output is in that unit cubed. These ideal shapes do not account for wall thickness, irregular surfaces or unusable storage space.

Box V = lwh; cylinder V = πr²h; sphere V = 4πr³/3; cone V = πr²h/3; rectangular pyramid V = lwh/3. r is radius and h is perpendicular height.

Worked example

This example uses illustrative inputs. Your current result is shown above.

Choose rectangular box and metres, with length 5, width 4 and height 3. Volume = 5 × 4 × 3 = 60 m³.

Assumptions and limits

  • All entered dimensions share the selected unit; changing the unit label does not convert numbers already entered.
  • Use radius, not diameter, for round solids; use perpendicular rather than slanted height.
  • Zero dimensions give a degenerate zero-volume shape. Material allowances and capacity losses are not added.

Questions people ask

Why does doubling every dimension multiply volume by eight?

Volume combines three length dimensions. Scaling all lengths by two multiplies the volume by 2³, not by two.

Should I enter internal or external dimensions?

Use internal dimensions for usable geometric capacity and external dimensions for occupied space. The calculator does not subtract wall thickness automatically.

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