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.
Quicklinks to ...
Volume of a Box Calculator
This calculator finds the volume of a cuboid (or box) when the side lengths are known.
How the Calculator Works
- 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).
Volumeof a Box (or Cuboid) Formula
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
Volume of a Box Examples
Volume of a Box Example 1
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 cm3.
Volume of a Box Example 2
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 in3.
Volume of a Box Example 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 cm3.
Volume of a Box Example 4
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 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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