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.

Quicklinks to ...

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

- 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).

- Choose your units of measurement (default is none)
- Choose your desired accuracy (default is 2 decimal places)
- Click the Find Surface Area button
- You will be shown the area as a decimal (and also a fraction if you typed the length as a fraction).

Below is the formula for the volume of a box.

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

Find the volume of the box below.

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 cm^{3}.

Find the volume of the box below.

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 in^{3}.

Find the volume of the box below.

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 cm^{3}.

Find the volume of the box below.

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 in^{3}.

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

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

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.

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.

How to Print or Save these sheets

Need help with printing or saving?

Follow these 3 easy steps to get your worksheets printed out perfectly!

How to Print or Save these sheets

Need help with printing or saving?

Follow these 3 easy steps to get your worksheets printed out perfectly!

The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

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