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101 LearnersLast updated on September 8, 2025
Perimeter of Square Prism
The perimeter of a shape is the total length of its boundary. The perimeter of a square prism refers to the total length of the edges of its base. Perimeter is also used for fencing a property, sewing, and more. In this topic, we will learn about the perimeter of a square prism.
What is the Perimeter of a Square Prism?
The perimeter of a square prism refers to the total length of the edges of its square base. By adding the length of all four sides of the base, we get the perimeter of the shape.
The formula for the perimeter of the base of a square prism is π· = 4π, where π is the length of a side of the square base.
For instance, if the side of the square base of a prism is 6, then its perimeter is π = 4 × 6 = 24.
Formula for Perimeter of Square Prism - π· = 4π.
Let’s consider another example of a square prism with a side length of its base, π = 8.
So the perimeter of the base of the square prism will be: π· = 4π = 4 × 8 = 32.
How to Calculate the Perimeter of Square Prism
To find the perimeter of a square prism, we just need to apply the given formula and multiply the side of the square base by 4.
For instance, a given square prism has a base side of 6. Perimeter of the base = 4 × 6 = 24 cm.
Example Problem on Perimeter of Square Prism -
For finding the perimeter of a square prism, we use the formula, π· = 4π.
For example, let’s say, π = 5 cm.
Now, the perimeter = 4 × 5 = 20 cm.
Therefore, the perimeter of the base of the square prism is 20 cm.
Tips and Tricks for Perimeter of Square Prism
Learning some tips and tricks makes it easier for children to calculate the perimeter of square prisms. Here are some tips and tricks given below:
- Always remember that the perimeter of the square base of a prism is simply four times the length of its side. For that, use the formula, π· = 4π.
- Calculating the perimeter of the square base of a prism starts by determining the length of one side.
- To reduce confusion, specifically arrange the indicated side lengths if you need the perimeter of a group of square prisms. After that, apply the formula to each prism.
- To avoid mistakes when calculating the perimeter, make sure the side lengths are precise and consistent for common uses like architecture 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 Square Prism
Did you know that while working with the perimeter of a square prism, children might encounter some errors or difficulties? We have many solutions to resolve these problems. Here are some given below:
Mistake 1
Incorrectly calculating the perimeter by not multiplying the side length by 4.
Remember that the perimeter of a square base is always four times the length of one side. Make sure to use the correct formula π· = 4π.
Mistake 2
Students may confuse the concepts of area and perimeter, leading to incorrect calculations.
It is important to note that the perimeter, calculated in linear units, is the total length of the square base’s sides, while the area, in square units, represents the space inside the square base.
Mistake 3
Assuming that every prism is based on a square base, which results in inaccurate calculations.
Not all prisms have a square base. Always be careful about the base shape of the prism to ensure accurate calculations.
Mistake 4
Using the wrong values for the length of the sides, misreading a problem, or mislabeling the sides.
Double-check the problem and ensure that you're using the correct lengths for your square prism.
Mistake 5
Misunderstanding or misidentifying the side lengths that are given in a problem outline.
Before starting the calculations, make sure that you understand the problem and, if it's possible, try to draw the square base to accurately identify the side lengths.
Perimeter of Square Prism Examples
Problem 1
A square-shaped park has a perimeter of 48 meters with a side measuring 12 meters. Verify the perimeter by confirming each side length.
Perimeter is 48 meters.
Explanation
Let ‘a’ be the side of the square base. And the given perimeter = 48 meters.
Length of one side = 12 meters.
Perimeter of square base = 4 × a. 48 = 4 × 12.
Therefore, the perimeter is verified as 48 meters.
Problem 2
A rectangular-shaped garden was reshaped into a square base with a perimeter of 60 meters. Find the length of one side of the new square base.
15 meters
Explanation
Given that the perimeter of the rectangle is reshaped into a square base, here is the solution:
Perimeter of a rectangle = Total length used for square base
Perimeter of square base = 4 × a 60 = 4 × a 60 ÷ 4 = 15 a = 15
Therefore, the length of each side of the square base is 15 meters.
Problem 3
Find the perimeter of a square base with sides of 10 cm.
40 cm
Explanation
Perimeter of square base = 4 × a P = 4 × 10 = 40
Therefore, the perimeter of the square base is 40 cm.
Problem 4
Annie is planning a square-shaped vegetable garden in her backyard with a side length of 9 meters. How much fencing should Annie buy to go around the edge of the garden?
Annie will need 36 meters of fencing to go around the garden.
Explanation
The perimeter of a square base is 4 times the side length.
Using the formula: P = 4 × a P = 4 × 9 = 36 meters.
Problem 5
Find the perimeter of a square base of a prism with side length 7 meters.
Perimeter = 4 × a = 4 × 7 = 28 meters.
Explanation
The perimeter of the square base is calculated by multiplying the side length by 4 to get 28 meters.
FAQs on Perimeter of Square Prism
1.Evaluate the perimeter of a square base if its side is 5 cm.
2.What is meant by a square baseβs perimeter?
3.What are the types of prisms?
4.Which prism has a square base?
5.Which prism has the smallest perimeter for its base?
Important Glossaries for Perimeter of Square Prism
- Perimeter: The total length of the sides of a shape.
- Square Base: A four-sided polygon with equal sides forming the base of a prism.
- Formula for perimeter: The mathematical expression used to calculate the perimeter of a square base is π· = 4π.
- Prism: A solid geometric figure with two parallel, congruent bases connected by rectangular faces.
- Side Length: The measurement of one side of the base of the prism.
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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
