Solved Examples of Octagon Prism
Example 1: Calculate the volume of an octagonal prism with a height of 8 units, a base perimeter of 32 units, and an apothem length of 5 units.
Solution:
The formula for the volume of an octagonal prism is given by:
Volume = 1/2 × Perimeter of Base × Apothem × Height
Substitute the given values:
Volume = 1/2 × 32 units × 5 units × 8 units
Volume = 640 cubic units
the volume of the octagonal prism is 640 cubic units
Example 2: Determine the total surface area of an octagonal prism with a height of 10 meters and a base perimeter of 40 meters. The apothem length is 7 meters.
Solution:
The total surface area (TSA) of an octagonal prism is given by the sum of the lateral surface area (LSA) and the base area. The formulas are:
LSA = Perimeter of Base × Height
Base Area= 1/2 × Perimeter of Base × Apothem
Substitute the given values:
LSA = 40m × 10 m = 400m2
Base Area = 1/2 × 40m × 7m = 140m2
Now,
TSA = LSA + Base Area = 400m2 + 140m2= 540m2
the total surface area of the octagonal prism is 540 square meters.
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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