Surface Area of Rectangular Prism Formula
There are two formulas that are used to calculate the area of a rectangular prism that are,
- Lateral Surface Area
- Total Surface Area
The image added below shows the rectangular prism and its net. Now let’s learn about both the surface area of the rectangular prism.
Lateral Surface Area of a Rectangular Prism
The lateral surface area of a right prism (LSA) is equal to the sum of the areas of its four lateral faces.
Lateral Surface Area of a Prism (LSA) = Sum of areas of four lateral faces.
So, the formula for calculating the lateral surface area of a right rectangular prism is given as follows:
Lateral Surface Area of a Rectangular Prism = 2h (l + b) square units
where,
- “l” is the length of the side of a base
- “b” is the breadth of the side of a base
- “h” is the height of the prism
Total Surface Area of a Rectangular Prism
The total surface area of a right rectangular prism is equal to the sum of the total areas of all its faces.
Total Surface Area of a Prism (TSA) = LSA + 2 × Base Area
So, the formula for calculating the total surface area of a right rectangular prism is given as below,
TSA = 2(lb + bh + lh) square units
where,
- “l” is the length of the side of a base
- “b” is the breadth of the side of a base
- “h” is the height of the prism
Surface Area of a Rectangular Prism
Surface Area of a Rectangular Prism is the area covered by all the surfaces of the rectangular prism. A rectangular prism is a 3-D geometrical figure with four lateral faces with two congruent and parallel faces. A rectangular prism has a total of six faces where the opposite faces are identical, i.e., a rectangular prism has three pairs of identical faces. The dimensions of a rectangular prism are length, width, and height. It has a total of six faces, twelve edges, and eight vertices.
In this article, we will learn about the Surface Area of a Rectangular Prism (Right Rectangular Prism), the Lateral Surface Area of a (Right) Rectangular Prism, the Total Surface Area of a (Right) Rectangular Prism, and others in detail.
Table of Content
- What is Surface Area of a Rectangular Prism?
- Surface Area of Rectangular Prism Formula
- How to Find Surface Area of a Rectangular Prism?
- Surface Area of Rectangular Prism Examples
- Practice Questions
- FAQs