Volume of a Box Calculator

Welcome to our Volume of a Box Calculator page.

We explain how to find the volume of a cuboid, or box, and provide a quick calculator to work it out for you, step-by-step.

There are also lots of worked examples and links to some worksheets for you to practice this skill.

Volume of a Box Calculator

This calculator finds the volume of a cuboid (or box) when the side lengths are known.

Volume of a Box Calculator

volume of a box labelled image


Answer


Answer

 
 


How the Calculator Works

  1. Choose the length, width and height of the rectangle: you can choose a whole number, decimal or fraction.
    • You can type a fraction by typing the numerator then '/' then the denominator.
    • You can type a mixed number by typing the whole-number part, then a space then the fraction part.
    • Examples: 2 1/2 (two and one-half); 3 4/5 (three and four-fifths); 7 1/3 (seven and one-third).
  2. Choose your units of measurement (default is none)
  3. Choose your desired accuracy (default is 2 decimal places)
  4. Click the Find Surface Area button
  5. You will be shown the area as a decimal (and also a fraction if you typed the length as a fraction).

Volumeof a Box (or Cuboid) Formula

Below is the formula for the volume of a box.

volume of a box formula image

The formula for the volume of a box (or cuboid) is: \[ V = lwh \; \]

where l is the length, w is the width, and h is the height of the cuboid


Volume of a Box Examples

Volume of a Box Example 1

Find the volume of the box below.

volume of a box example 1

The box has the following dimensions:

  • Length: 7 cm
  • Width: 3 cm
  • Height: 5 cm

The volume of the box is:

\[ V = lwh \; \]

where l is the length, w is the width, and h is the height of the box

So if we substitute the values of the length and width into this equation, we get: \[ V = 7 \cdot 3 \cdot 5 = 105 \]

The volume of the box is 105 cm3.

Volume of a Box Example 2

Find the volume of the box below.

volume of a box example 2

The box has the following dimensions:

  • Length (l):12 in
  • Width (w): 5 in
  • Height (h): 3 in

The volume of the box is:

\[ V = lwh \; \]

So if we substitute the values of the length and width into this equation, we get: \[ V = 12 \cdot 5 \cdot 3 = 180 \]

The volume of the box is 180 in3.

Volume of a Box Example 3

Find the volume of the box below.

volume of a box example 3

The box has the following dimensions:

  • Length (l): 5.6 cm
  • Width (w): 4.3 cm
  • Height (h): 2.5 cm

The volume of the box is:

\[ V = lwh \; \]

So if we substitute the values of the length and width into this equation, we get: \[ V = 5.6 \cdot 4.3 \cdot 2.5 = 60.2 \]

The volume of the box is 60.2 cm3.

Volume of a Box Example 4

Find the volume of the box below.

volume of a box example 4

The box has the following dimensions:

  • Length (l): 8 in
  • Width (w): ¾ in
  • Height (h): 5 ½ in

The volume of the box is:

\[ V = lwh \; \]

So if we substitute the values of the length and width into this equation, we get: \[ V = 8 \cdot {3 \over 4} \cdot 5 {1 \over 2} = 33 \]

The surface area of the box is 33 in3.

More Recommended Math Resources

Take a look at some more of our worksheets similar to these.

Volume of a Cuboid Worksheets

Here is our range of volume worksheets.

Using these sheets will help your child to:

  • know what volume is and how to find it;
  • find the volume of simple shapes by counting cubes;
  • find the volume of rectangular prisms (cuboids);
  • solving basic problems involving volume

Surface Area of a Box Calculator

If you need to find the surface area of a box then we also have a calculator for you to work this out.

As well as a calculator, this page also has worked examples, formula and practice worksheets.

More Area & Volume Calculators

We have a range of area and volume calculators to help you find the area and volumes of a range of different 2d and 3d shapes.

Each calculator page comes with worked examples, formulas and practice worksheets.

 

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