114 LearnersLast updated on August 5th, 2025
Perimeter of Cube
The perimeter of a shape is the total length of its boundary. For a cube, the perimeter is the sum of the lengths of all its edges. Perimeter is used in various practical applications, such as construction and design. In this topic, we will learn about the perimeter of a cube.
What is the Perimeter of a Cube?
The perimeter of a cube is the total length of its 12 edges. By adding the length of all the edges, we get the perimeter of the shape. The formula for the perimeter of a cube is π· = 12π, where π is the length of an edge of the cube. For instance, if a cube has an edge length of 4, then its perimeter is π· = 12 Γ 4 = 48.
Formula for Perimeter of Cube - π· = 12π.
Letβs consider another example of a cube with an edge length of 5. So the perimeter of the cube will be: π· = 12π = 12 Γ 5 = 60.
How to Calculate the Perimeter of Cube
To find the perimeter of a cube, apply the formula and multiply the edge length by 12. For instance, a cube with an edge of length 3 has a perimeter = 12 Γ 3 = 36 cm. Example Problem on Perimeter of Cube - To find the perimeter of a cube, use the formula π· = 12π. For example, letβs say π = 6 cm. Now, the perimeter = 12 Γ 6 = 72 cm. Therefore, the perimeter of the cube is 72 cm.
Tips and Tricks for Perimeter of Cube
Learning some tips and tricks makes it easier for children to calculate the perimeter of cubes. Here are some tips and tricks given below: Always remember that a cube's perimeter is simply the sum of all its edges. For that, use the formula, π· = 12π. Calculating the perimeter of a cube starts by determining the length of one edge. Once you have that, simply multiply it by 12 to get the total perimeter. To reduce confusion, ensure you have the correct edge length before applying the formula for a group of cubes. To avoid mistakes when calculating the perimeter, make sure the edge lengths are precise and consistent for common uses like building and design. If you are given the total surface area or volume of a cube, you can find the edge length first and then use it to calculate the perimeter.
Common Mistakes and How to Avoid Them in Perimeter of Cube
Did you know that while working with the perimeter of a cube, children might encounter some errors or difficulties? We have many solutions to resolve these problems. Here are some given below:
Mistake 1
Confusing the perimeter with the area or volume of a cube.
Remember that the perimeter is the total length of all the edges of the cube, while the area and volume involve different calculations.
Mistake 2
Incorrectly using formulas meant for other shapes, such as squares or triangles.
It is important to use the formula specific to cubes: π· = 12π, where π is the length of an edge.
Mistake 3
Assuming that all three dimensions of a cube are different, similar to a rectangular prism.
A cube has equal edge lengths. Always use the same measurement for all edges to ensure accurate calculations.
Mistake 4
Misreading a problem or mislabeling the edge lengths.
Double-check the problem and ensure that you're using the correct length for each edge.
Mistake 5
Misunderstanding or misidentifying the given measurements in a problem outline.
Before starting the calculations, make sure that you understand the problem and, if possible, visualize the cube to accurately identify the edge lengths.
Perimeter of Cube Examples
Problem 1
A cube-shaped room has an edge length of 8 meters. What is the perimeter of the room?
The perimeter of the room is 96 meters.
Explanation
The edge length of the cube is π = 8 meters. Using the formula for the perimeter of a cube: π· = 12π π· = 12 Γ 8 = 96 meters. Therefore, the perimeter of the room is 96 meters.
Problem 2
A jewelry box is in the shape of a cube with an edge length of 15 cm. Calculate the perimeter of the box.
The perimeter of the jewelry box is 180 cm.
Explanation
The edge length of the cube is π = 15 cm. Using the formula for the perimeter of a cube: π· = 12π π· = 12 Γ 15 = 180 cm. Therefore, the perimeter of the jewelry box is 180 cm.
Problem 3
Find the perimeter of a cube with an edge length of 7 cm.
84 cm
Explanation
Perimeter of a cube = 12π π· = 12 Γ 7 = 84 cm. Therefore, the perimeter of the cube is 84 cm.
Problem 4
A small cube-shaped package has an edge length of 10 inches. How much tape is needed to wrap around the edges of the package?
120 inches of tape is needed.
Explanation
The edge length of the cube is π = 10 inches. Using the formula for the perimeter of a cube: π· = 12π π· = 12 Γ 10 = 120 inches. Therefore, 120 inches of tape is needed to wrap around the package.
Problem 5
Find the perimeter of a cube where each edge measures 9 meters.
Perimeter = 12π = 12 Γ 9 = 108 meters.
Explanation
Each edge of the cube measures 9 meters. The entire distance around the cube is calculated as 108 meters by multiplying the edge length by 12.
FAQs on Perimeter of Cube
1.Evaluate the cubeβs perimeter if its edge length is 5 cm.
2.What is meant by a cubeβs perimeter?
3.What is the difference between a cube and a square?
4.What shape has all equal edges?
5.Which has a larger perimeter: a cube or a rectangular prism with the same edge length?
Important Glossaries for Perimeter of Cube
Perimeter: The total length of the edges of a shape. Cube: A three-dimensional shape with six equal square faces and 12 equal edges. Edge: A line segment where two faces of a three-dimensional shape meet. Formula of perimeter: The mathematical expression used to calculate the perimeter of a cube is π· = 12π. Surface Area: The total area of the six faces of a cube.
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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
