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145 LearnersLast updated on December 11, 2025
Lateral Surface Area of a Rectangle
A rectangle consists of four sides that form its boundary. The lateral surface area of a rectangle refers to the sum of the areas of its sides, excluding the top and bottom surfaces. Let's take an example of a box. The sides of the box represent the lateral surfaces, while the top and bottom are not included in the lateral surface area calculation.
What is the Lateral Surface Area of a Rectangle?
The lateral surface area of a rectangle is the sum of the areas of its vertical sides.
This is also referred to as the side surface area of a rectangle.
Formula for Lateral Surface Area of a Rectangle
How to Find Lateral Surface Area of a Rectangle
In order to find the Lateral Surface of a Rectangle, the following steps must be followed.
Step 1: Take note of the given parameters.
Step 2: Ensure that all the measurements are in the same unit before the calculation.
Step 3: Use the equation, Area = P × h, where P is the perimeter of the base, to find the LSA of the rectangle. If the perimeter is not directly given, calculate it using the dimensions of the rectangle. Once the perimeter is known, substitute it into the formula to calculate the lateral surface area.
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 Rectangle.
There are a few typical mistakes people make while calculating the lateral surface area of a rectangle. Some of them are listed below:
Mistake 1
Misinterpretation of dimensions.
It's a basic mistake to confuse the height of the rectangle with its length or width.
Always identify each dimension correctly.
Mistake 2
Incorrectly calculating the perimeter.
A common mistake is miscalculating the perimeter of the base, which affects the final area calculation.
Double-check your perimeter calculation before proceeding.
Mistake 3
Not mentioning the units with the numerical value.
It's important to mention the unit with the answer, even if the question doesn't mention the unit.
It's preferable to write “square units” as a unit for the standard representation of a value.
Mistake 5
Confusing lateral surface area with total surface area.
Lateral surface area is the region occupied by the sides only, while total surface area includes the area of all surfaces of the rectangle.
Solved examples on Lateral Surface Area of a Rectangle
Problem 1
What is the lateral area of a rectangular box having a base perimeter of 20 cm and a height of 10 cm?
200 cm²
Explanation
Given: Perimeter = 20 cm, Height = 10 cm
LSA = P × h = 20 × 10 = 200 cm²
Problem 2
If the length of a rectangle is 5 cm, the width is 3 cm, and the height is 4 cm, find its lateral surface area.
64 cm²
Explanation
Given: Length (l) = 5 cm, Width (w) = 3 cm, Height (h) = 4 cm
Perimeter P = 2(l + w) = 2(5 + 3) = 16 cm
LSA = P × h = 16 × 4 = 64 cm²
Problem 3
Calculate the lateral surface area of a rectangle having a length of 7 cm, a width of 2 cm, and a height of 6 cm.
108 cm²
Explanation
Given: Length (l) = 7 cm Width (w) = 2 cm Height (h) = 6 cm
Perimeter P = 2(l + w) = 2(7 + 2) = 18 cm
LSA = P × h = 18 × 6 = 108 cm²
Problem 4
Evaluate the height of a rectangular box if its base perimeter is 24 units and its lateral surface area is 240 square units.
10 units
Explanation
Given: Perimeter of base (P) = 24 units
Lateral surface area = 240 square units
LSA = P × h
240 = 24 × h
h = 240/24 = 10 units
Problem 5
The lateral surface area of a rectangle is 150 cmยฒ. If its height is 10 cm, find the perimeter of its base.
15 cm
Explanation
Let the perimeter be “P” cm.
We know that LSA = P × h ⇒ 150 = P × 10 ⇒ P = 150/10 ⇒ P = 15 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 side surface area the same?
4.How is the perimeter of the base calculated?
5.How does the LSA change if the height is doubled?
Important Glossary for Lateral Surface Area
- Perimeter: The total length of the sides forming the boundary of a rectangle.
- Height: The vertical length from the base to the top of the rectangle.
- Rectangle: A four-sided polygon with opposite sides equal in length.
- Units: Standard measurements used to quantify physical quantities, such as cm, m, etc.
- Lateral Surface Area: The area of the sides of a rectangle, excluding the top and bottom surfaces.
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
