Lateral Surface Area of a Prism
2026-02-28 23:18 Diff
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Last updated on December 11, 2025

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.

Formula for Lateral Surface Area of a Prism

We can find the lateral surface area of a prism by multiplying the perimeter of the base by the height of the prism.

The formula is: Area = Perimeter of the base × Height

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:

Problem 1

What is the lateral area of a rectangular prism having a base perimeter of 20 cm and a height of 10 cm?

Okay, lets begin

200 cm²

Explanation

Given: Perimeter of the base = 20 cm, Height = 10 cm

LSA = Perimeter of the base × Height = 20 × 10 = 200 cm²

Well explained 👍

Problem 2

If the base perimeter of a triangular prism is 15 cm, and its lateral surface area is 90 cm², find the height of the prism.

Okay, lets begin

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

Well explained 👍

Problem 3

Calculate the lateral surface area of a hexagonal prism with a base perimeter of 30 cm and a height of 5 cm.

Okay, lets begin

150 cm²

Explanation

Given: Perimeter of the base = 30 cm Height = 5 cm

LSA = Perimeter of the base × Height = 30 × 5 = 150 cm²

Well explained 👍

Problem 4

Evaluate the base perimeter of a prism if its height is 8 units and its lateral surface area is 160 square units.

Okay, lets begin

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

Well explained 👍

Problem 5

The lateral surface area of a prism is 240 cm². If its height is 12 cm, find its base perimeter.

Okay, lets begin

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

Well explained 👍

FAQ’s on Lateral Surface Area

1.What is Lateral Surface Area?

The area consumed by the rectangular faces of a prism is called the lateral surface area of a prism.

2.How to calculate the lateral surface area.

The Lateral Surface Area of a prism can be calculated using the formula: Area = Perimeter of the base × Height

3.Is the lateral surface area and the total surface area the same?

No, the lateral surface area includes only the area of the rectangular faces, while the total surface area includes both the lateral and the base areas.

4.What is the importance of the base perimeter in calculating LSA?

The base perimeter is crucial as it directly influences the lateral surface area calculation by determining the extent of the rectangular faces.

5.How does the LSA change if the height is doubled?

If the height is doubled, the lateral surface area also doubles, given that the base perimeter remains the same.

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.

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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.

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