Last updated on July 29th, 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.
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.
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.
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.
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.
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:
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?
Height of the box = 4 cm.
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.
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.
Height of the cuboid = 6 inches.
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.
Find the perimeter of a cuboid whose length is 8 cm, width is 5 cm, and height is 10 cm.
92 cm
Perimeter of cuboid = 4(l + w + h) P = 4(8 + 5 + 10) = 92 Therefore, the perimeter of the cuboid is 92 cm.
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?
Tim will need 92 meters of material to cover the edges.
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.
Find the perimeter of a cuboid where the dimensions are: l = 9, w = 6, h = 3.
Perimeter = 72 cm.
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.
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.
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.
: She has songs for each table which helps her to remember the tables