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136 LearnersLast updated on December 11, 2025
Lateral Surface Area of a Prism
A prism consists of two parallel bases and a set of rectangular faces connecting the bases. The lateral surface area represents the sum of the areas of these rectangular faces. Consider a rectangular box. The sides of the box excluding the top and bottom represent the lateral surface, which is equal to the lateral surface area of the box. The top and bottom are not included because they are considered the bases.
What is the Lateral Surface Area of a Prism?
The lateral surface area of a prism is the total area of its rectangular faces, excluding the area of its two bases.
How to Find Lateral Surface Area of a Prism
To find the lateral surface area of a prism, follow these steps:
Step 1: Identify the perimeter of the base of the prism.
Step 2: Measure the height of the prism.
Step 3: Use the formula, Area = Perimeter of the base × Height, to calculate the LSA of the prism.
Step 4: Provide the calculated answer in square units.
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Common mistakes and how to avoid them in the Lateral Surface Area of a Prism.
Here are some typical mistakes made while calculating the lateral surface area of a prism:
Mistake 1
Confusing the total surface area with the lateral surface area.
The lateral surface area includes only the rectangular faces, while the total surface area includes both the lateral surface and the base areas.
Mistake 2
Incorrect perimeter calculation.
Carefully calculate the perimeter of the base, as any mistake in this step will lead to incorrect results.
Mistake 3
Not mentioning the units with the numerical value.
It's important to mention the unit with the answer.
It's preferable to write "square units" as a unit for the standard representation of a value.
Mistake 5
Using incorrect dimensions for height or base perimeter.
Ensure that you are using the correct dimensions for the height and perimeter of the base to avoid calculation errors.
Solved examples on Lateral Surface Area of a Prism
Problem 1
What is the lateral area of a rectangular prism having a base perimeter of 20 cm and a height of 10 cm?
200 cm²
Explanation
Given: Perimeter of the base = 20 cm, Height = 10 cm
LSA = Perimeter of the base × Height = 20 × 10 = 200 cm²
Problem 2
If the base perimeter of a triangular prism is 15 cm, and its lateral surface area is 90 cmยฒ, find the height of the prism.
6 cm
Explanation
Given: Perimeter of the base = 15 cm LSA = 90 cm²
Using the formula: LSA = Perimeter of the base × Height
90 = 15 × Height
Height = 90/15 = 6 cm
Problem 3
Calculate the lateral surface area of a hexagonal prism with a base perimeter of 30 cm and a height of 5 cm.
150 cm²
Explanation
Given: Perimeter of the base = 30 cm Height = 5 cm
LSA = Perimeter of the base × Height = 30 × 5 = 150 cm²
Problem 4
Evaluate the base perimeter of a prism if its height is 8 units and its lateral surface area is 160 square units.
20 units
Explanation
Given: Height of prism = 8 units LSA = 160 square units
Using the formula: LSA = Perimeter of the base × Height
160 = Perimeter of the base × 8 Perimeter of the base = 160/8 = 20 units
Problem 5
The lateral surface area of a prism is 240 cmยฒ. If its height is 12 cm, find its base perimeter.
20 cm
Explanation
Let the perimeter of the base be “P” cm.
We know that LSA = Perimeter of the base × Height
240 = P × 12
P = 240/12 P = 20 cm
FAQโs on Lateral Surface Area
1.What is Lateral Surface Area?
2.How to calculate the lateral surface area.
3.Is the lateral surface area and the total surface area the same?
4.What is the importance of the base perimeter in calculating LSA?
5.How does the LSA change if the height is doubled?
Important Glossary for Lateral Surface Area
- Base Perimeter: The total length around the base of a prism.
- Height: The perpendicular distance between the two bases of a prism.
- Lateral Surface Area: The area of the rectangular faces of a prism, excluding its base areas.
- Prism: A solid object with two identical ends and flat faces.
- Rectangular Faces: The faces on the sides of a prism connecting its two bases.
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
