Surface Area of an Octagonal Prism
The Surface Area of Octagonal prism has two parts:
- Lateral Surface Area
- Total Surface Area
Lateral Surface Area (LSA) Formula
- The LSA is the combined area of all the sides (excluding the top and bottom faces) of the octagonal prism.
- To find it, you multiply the perimeter of the base (the total length of all the sides of the octagon) by the height of the prism.
LSA = Perimeter of Base × Height
Total Surface Area (TSA) Formula
- The TSA includes both the lateral surface area and the area of the top and bottom faces.
- To calculate it, you add the LSA to the area of one of the octagonal bases.
TSA = LSA + Base Area
- The Base Area is half of the product of the perimeter of the base and the apothem (the distance from the center of the octagon to the midpoint of one of its sides). Formula for Base Area:
Base Area = 1/2 × Perimeter of Base × Apothem
Octagonal Prism
Octagonal Prism is a 3D shape with two octagon-shaped ends connected by eight rectangular sides. Thus an octagonal has 10 faces out of which 8 are rectangular and 2 are octagonal. In this article, we’ll talk about what an octagon prism is, its surface area and volume formulas, and real-life examples where we see octagonal objects.
Table of Content
- What is an Octagonal Prism?
- Octagonal Prism Faces, Edges And Vertices
- Net For Octagonal Prism
- Real-Life Examples of Octagon Prism
- Surface Area of an Octagonal Prism
- Volume of an Octagonal Prism
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