Perimeter of Cuboid
2026-02-28 11:32 Diff
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Last updated on September 26, 2025

The perimeter of a shape is the total length of its boundary. For a cuboid, the perimeter refers to the total distance around its edges. Perimeter is also used for fencing a property, sewing, and more. In this topic, we will learn about the perimeter of a cuboid.

What is the Perimeter of a Cuboid?

The perimeter of a cuboid is the total length around its edges. By adding the lengths of all the edges, we get the perimeter of the shape.

The formula for the perimeter of the edges of a cuboid is 𝑃 = 4(l + w + h), where l, w, and h are the length, width, and height of the cuboid. For instance, if a cuboid has dimensions, l = 6, w = 4, and h = 10, then its perimeter is P = 4(6 + 4 + 10) = 80.

Formula for Perimeter of Cuboid - 𝑃 = 4(l + w + h)

Let’s consider another example of a cuboid with dimensions, 𝑙 = 5, 𝑤 = 3, and 𝑏 = 2.

So the perimeter of the cuboid's edges will be: 𝑃 = 4(l + w + h) = 4(5 + 3 + 2) = 40.

How to Calculate the Perimeter of a Cuboid

To find the perimeter of a cuboid, we just need to apply the given formula and sum all the edges of the cuboid. For instance, a given cuboid has dimensions of l = 7, w = 3, h = 5. Perimeter = 4(l + w + h) = 4(7 + 3 + 5) = 60 cm.

Example Problem on Perimeter of Cuboid 

For finding the perimeter of a cuboid, we use the formula, 𝑃 = 4(l + w + h).

For example, let’s say, l = 6 cm, w = 4 cm, and h = 3 cm.

Now, the perimeter = 4(l + w + h) = 4(6 + 4 + 3) = 52 cm.

Therefore, the perimeter of the cuboid is 52 cm.

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Tips and Tricks for Perimeter of Cuboid

Learning some tips and tricks makes it easier for children to calculate the perimeter of cuboids.

Here are some tips and tricks given below:

  • Always remember that a cuboid's perimeter is simply the sum of the lengths of all the edges.
  • For that, use the formula, 𝑃 = 4(l + w + h).
     
  • Calculating the perimeter of a cuboid starts by determining the length of each edge of the shape.
     
  • The dimensions can be found by measuring or given data.
     
  • To reduce confusion, specifically arrange the indicated dimensions if you need the perimeter for multiple cuboids. After that, apply the formula to each cuboid.
     
  • To avoid mistakes when adding the perimeter, make sure the dimensions are precise and constant for common uses like construction and design.
     
  • If you are given the semi-perimeter, which is half the perimeter, you can multiply it by 2 to determine the full perimeter.

Common Mistakes and How to Avoid Them in Perimeter of Cuboid

Did you know that while working with the perimeter of a cuboid, children might encounter some errors or difficulties? We have many solutions to resolve these problems. Here are some given below:

Problem 1

A rectangular gift box has a perimeter of 64 cm around its edges. If the length is 10 cm and the width is 8 cm, what is the height of the box?

Okay, lets begin

Height of the box = 4 cm.

Explanation

Let ‘h’ be the height of the box.

And the given perimeter = 64 cm.

Length = 10 cm,

Width = 8 cm.

Perimeter of cuboid = 4(l + w + h).

64 = 4(10 + 8 + h) 64

= 4(18 + h) 64 ÷ 4

= 18 + h 16 = 18 + h

h = 16 – 18

h = 4

Therefore, the height of the box is 4 cm.

Well explained 👍

Problem 2

A metal frame is reshaped into a cuboid with a perimeter of 72 inches. If the length and width are equal, and each measures 6 inches, find the height of the cuboid.

Okay, lets begin

Height of the cuboid = 6 inches.

Explanation

Given that the perimeter of the cuboid is 72 inches and the length equals the width:

Perimeter of cuboid = 4(l + w + h).

72 = 4(6 + 6 + h)

72 = 4(12 + h)

72 ÷ 4 = 12 + h

18 = 12 + h

h = 18 – 12

h = 6

Therefore, the height of the cuboid is 6 inches.

Well explained 👍

Problem 3

Find the perimeter of a cuboid whose length is 8 cm, width is 5 cm, and height is 10 cm.

Okay, lets begin

92 cm

Explanation

Perimeter of cuboid = 4(l + w + h)

P = 4(8 + 5 + 10) = 92

Therefore, the perimeter of the cuboid is 92 cm.

Well explained 👍

Problem 4

Tim is building a bookshelf in the shape of a cuboid. The dimensions are as follows: Length = 12 meters, Width = 7 meters, Height = 4 meters. How much material does Tim need to cover the edges of the bookshelf?

Okay, lets begin

Tim will need 92 meters of material to cover the edges.

Explanation

The perimeter of a cuboid is the sum of all the edges.

Using the formula: P = 4(l + w + h)

P = 4(12 + 7 + 4)

= 92 meters.

Well explained 👍

Problem 5

Find the perimeter of a cuboid where the dimensions are: l = 9, w = 6, h = 3.

Okay, lets begin

Perimeter = 72 cm.

Explanation

The perimeter of the cuboid is calculated by summing the lengths of all the edges.

Perimeter = 4(l + w + h)

= 4(9 + 6 + 3)

= 72 cm.

Well explained 👍

FAQs on Perimeter of Cuboid

1.Evaluate the cuboid’s perimeter if its dimensions are l = 3 cm, w = 5 cm, and h = 7 cm.

Perimeter of cuboid = 4(l + w + h), Hence P = 4(3 + 5 + 7) = 60 cm.

2.What is meant by a cuboid’s perimeter?

The total length around a cuboid’s edges is its perimeter. In other words, the perimeter of a cuboid is the total length of its edges.

3.What are the types of cuboids?

Cuboids can be classified based on their dimensions: rectangular cuboids with varied lengths, widths, and heights, and cubes where all dimensions are equal.

4.Which shape is a special type of cuboid with equal dimensions?

A cube is a special type of cuboid where all dimensions (length, width, and height) are equal.

5.Which cuboid has the smallest perimeter for a given volume?

A cube has the smallest perimeter for a given volume, as it minimizes the surface area for a given volume.

Important Glossaries for Perimeter of Cuboid

  • Perimeter: The total length around the edges of a shape.
  • Cuboid: A three-dimensional shape with six rectangular faces.
  • Formula of perimeter: The mathematical expression used to calculate the perimeter of a cuboid is 𝑃 = 4(l + w + h).
  • Length: The longest dimension of a cuboid.
  • Width: The dimension of a cuboid perpendicular to the length.

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Seyed Ali Fathima S

About the Author

Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.

Fun Fact

: She has songs for each table which helps her to remember the tables