Box Volume Calculator

Written byOleh Soloninupdated 5 October 2026

Length

Width

Height

Units

Number of identical boxes

For freight and moving: the total volume of all pieces.

Result

Volume, m³47.25
Volume, litres47,250
FormulaV = 5 × 3.5 × 2.7 = 47.25 m³
Volume in the input units47.25
Surface area80.9
Space diagonal6.673829
Base area17.5
Total edge length44.8
UnitsAreas in m², lengths in m

Length times width times height

Volume, surface area, space diagonal and total edge length for a rectangular box or a room.

The simplest solid formula there is, and the most used: room volume for ventilation and heating, box volume for shipping, load volume for a move.

The space diagonal answers a different question — whether something will fit. It is the longest straight line inside the box, and it comes from Pythagoras with three terms under the root instead of two.

How to use

Enter the length, width and height in the same unit.
Choose the unit and, if you are packing several identical boxes, the quantity.
Read the volume in cubic metres and in litres, for one box and for the whole set.

Three dimensions multiply, and so do mistakes

A box 5 × 3.5 × 2.7 metres holds 47.25 m³, which is 47,250 litres. The conversion is a factor of a thousand, because a cubic metre is a thousand litres.

Because three lengths multiply, a unit slip is cubed. Entering centimetres where metres were meant changes each side by a hundred and the volume by a million — an error large enough to be obvious, which is the only mercy in it.

Worked out with this calculator.
Dimensions	Volume	In litres
5 × 3.5 × 2.7 m	47.25 m³	47,250
1 × 1 × 1 m	1 m³	1,000
0.6 × 0.4 × 0.4 m	0.096 m³	96

What this calculator shows

Volume in cubic units and in litres
Total surface area for wrapping, painting or lining
The space diagonal and the combined length of all twelve edges

What to keep in mind

All corners are right angles. For an oblique box only the volume carries over, as base area × perpendicular height; the surface area and diagonal here do not apply to it.
Choose the units of the dimensions; the volume is also shown in cubic metres and litres whatever the units.

FAQs

How do I get cubic metres from centimetres?

Multiply length, width and height in centimetres and divide by 1,000,000. A 60 × 40 × 40 cm box is 96,000 cm³, or 0.096 m³.

How do I estimate load volume for a move?

Add the volumes of every box and item. Movers quote in cubic metres, and a standard 60 by 40 by 40 cm box is just under a tenth of one.

What is the space diagonal?

The longest line inside the box, corner to opposite corner. It is the root of the sum of the three squared dimensions — Pythagoras in three dimensions.

How many litres in a cubic metre?

Exactly a thousand. A cubic centimetre is a millilitre, which makes the conversions easy in both directions.

What is the volume of a box 5 × 3.5 × 2.7 metres?

47.25 m³, which is 47,250 litres. Cubic metres convert to litres by multiplying by a thousand.

What if the sides are in different units?

Convert them all before multiplying. Mixing metres with centimetres is the classic slip, and because three dimensions multiply, a factor of a hundred on one side is a factor of a hundred in the volume — and on all three sides, a factor of a million.

Worked example

A 5 by 3.5 room with a 2.7 ceiling

Input: 5 × 3.5 × 2.7 m

Output: 47.25 m³, diagonal 6.67 m

Note: That is 47,250 litres of air. The floor is 17.5 m², and all the room's edges add up to 44.8 m.

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Box Volume Calculator

Result

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