Box Volume Calculator: V = l x w x h

The volume of a rectangular box, tank or room.

Calculated from standard textbook formulas, with every step shown. The formulas are fixed, so the working does not need checking: what matters is the numbers you type in. Use these calculators only if you are competent to choose the inputs (loads, material strength, dimensions, supports) and check your units and assumptions. For learning and checking your own working: design and sign-off are for a qualified engineer. Drafting Central does not store the numbers you type.

How this calculator works

Choose which quantity you want to find.

Enter the other values in the units shown.

The calculator gives the answer with the formula, the substituted numbers, and the answer in other units.

Formulas used

  • V = lwh
  • h = \frac{V}{lw}

Worked example

With the default numbers in the calculator above:

  1. The formula, arranged to find the volume: volume = length x width x height
  2. Put the values in (every value in its SI unit): volume = 2 x 1.5 x 1
  3. The answer: volume: 3 m3
  4. The same answer in other units: 3000 litres; 3.0e+6 cm3; 105.944 ft3; 792.516 US gallons

Change the numbers in the calculator to see the full working, every step, for your own case.

Common questions

What is the formula for the volume of a box?

Length times width times height. A box of 2 m by 1.5 m by 1 m holds 3 m3, which is 3000 litres.

How do I convert cubic metres to litres?

Multiply by 1000.

How do I find the height from the volume?

Divide the volume by the length times the width.

Related calculators

Got a question about this? Ask an engineering question and get a plain-language answer with references.

Further reading: Any school mathematics text (volume of a rectangular prism).

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