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143 LearnersLast updated on December 11, 2025
Lateral Surface Area of a Rectangular Prism
A rectangular prism consists of six faces. The lateral surface area represents the sum of the areas of the four vertical faces. Let's take an example of a box. The sides of the box contribute to the lateral surface, excluding the top and bottom, which are the bases of the prism.
What is the Lateral Surface Area of a Rectangular Prism?
The lateral surface area of a rectangular prism is the sum of the areas of all its sides, excluding the top and bottom bases.
Formula for Lateral Surface Area of a Rectangular Prism
How to Find Lateral Surface Area of a Rectangular Prism
To find the Lateral Surface Area of a Rectangular Prism, follow these steps:
Step 1: Note the given parameters, such as length, width, and height.
Step 2: Ensure all measurements are in the same unit.
Step 3: Calculate the perimeter of the base using 2(l + w).
Step 4: Use the equation, Lateral Surface Area = Perimeter of base × Height.
Step 5: 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 Rectangular Prism.
There are a few typical mistakes people make while calculating the lateral surface area of a rectangular prism.
Some of them are listed below:
Mistake 1
Misinterpreting the base dimensions and the height.
It's a common mistake to confuse the dimensions of the base with the height.
Ensure to distinguish between these when calculating the perimeter and height.
Mistake 2
Incorrectly calculating the perimeter of the base.
A simple yet common mistake is in the calculation of the perimeter.
Ensure the formula 2(l + w) is applied correctly.
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 specify the unit.
Use “square units” as a standard representation.
Mistake 5
Confusing lateral surface area with total surface area.
Lateral surface area includes only the sides of the prism, while total surface area includes all six faces.
Solved examples on Lateral Surface Area of a Rectangular Prism
Problem 1
What is the lateral surface area of a rectangular prism with a length of 5 cm, width of 3 cm, and height of 10 cm?
160 cm²
Explanation
Given: Length = 5 cm, Width = 3 cm, Height = 10 cm
Perimeter of base = 2(l + w) = 2(5 + 3) = 16 cm
Lateral Surface Area = Perimeter of base × Height = 16 × 10 = 160 cm²
Problem 2
A rectangular prism has a base perimeter of 24 cm and a height of 8 cm. Find its lateral surface area.
192 cm²
Explanation
Given: Perimeter of base = 24 cm, Height = 8 cm
Lateral Surface Area = Perimeter of base × Height = 24 × 8 = 192 cm²
Problem 3
Calculate the lateral surface area of a rectangular prism having dimensions: length = 7 cm, width = 4 cm, and height = 6 cm.
132 cm²
Explanation
Given: Length = 7 cm, Width = 4 cm, Height = 6 cm
Perimeter of base = 2(l + w) = 2(7 + 4) = 22 cm
Lateral Surface Area = Perimeter of base × Height = 22 × 6 = 132 cm²
Problem 4
Evaluate the lateral surface area of a rectangular prism if its base has a perimeter of 18 units and its height is 9 units.
162 units²
Explanation
Given: Perimeter of base = 18 units, Height = 9 units
Lateral Surface Area = Perimeter of base × Height = 18 × 9 = 162 units²
Problem 5
The lateral surface area of a rectangular prism is 240 cmยฒ. If its height is 12 cm, what is the perimeter of its base?
20 cm
Explanation
Given: Lateral Surface Area = 240 cm², Height = 12 cm
Let the perimeter of the base be P.
Lateral Surface Area = P × Height
240 = P × 12
P = 240/12 = 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 perimeter of the base?
5.How does the lateral surface area change if the height is doubled?
Important Glossary for Lateral Surface Area
- Perimeter: The distance around the edges of the base of a prism.
- Height: The vertical distance from the base to the top of the prism.
- Rectangular Prism: A three-dimensional shape with six rectangular faces.
- Square Units: A unit of area measurement.
- Lateral Face: The face of the prism that is not the base.
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
