Total Surface Area of Octahedron Calculator

✖Edge Length of Octahedron is the length of any of edges of the Octahedron or the distance between any pair of adjacent vertices of the Octahedron.ⓘ Edge Length of Octahedron [l_e]

+10%

-10%

✖Total Surface Area of Octahedron is the total quantity of plane enclosed by the entire surface of the Octahedron.ⓘ Total Surface Area of Octahedron [TSA]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Octahedron Formula PDF PDF Image

Total Surface Area of Octahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Octahedron = 2*sqrt(3)*Edge Length of Octahedron^2
TSA = 2*sqrt(3)*l_e^2
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Total Surface Area of Octahedron - (Measured in Square Meter) - Total Surface Area of Octahedron is the total quantity of plane enclosed by the entire surface of the Octahedron.
Edge Length of Octahedron - (Measured in Meter) - Edge Length of Octahedron is the length of any of edges of the Octahedron or the distance between any pair of adjacent vertices of the Octahedron.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Octahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = 2*sqrt(3)*l_e^2 --> 2*sqrt(3)*10^2

Evaluating ... ...

TSA = 346.410161513775

STEP 3: Convert Result to Output's Unit

346.410161513775 Square Meter --> No Conversion Required

FINAL ANSWER

346.410161513775 ≈ 346.4102 Square Meter <-- Total Surface Area of Octahedron

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Platonic Solids » Octahedron » Total Surface Area of Octahedron » Total Surface Area of Octahedron

Credits

Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

Verified by Team Softusvista

Softusvista Office (Pune), India

Team Softusvista has verified this Calculator and 1100+ more calculators!

< Total Surface Area of Octahedron Calculators

Total Surface Area of Octahedron given Circumsphere Radius

LaTeX Go Total Surface Area of Octahedron = 4*sqrt(3)*Circumsphere Radius of Octahedron^2

Total Surface Area of Octahedron given Midsphere Radius

LaTeX Go Total Surface Area of Octahedron = 8*sqrt(3)*Midsphere Radius of Octahedron^2

Total Surface Area of Octahedron given Insphere Radius

LaTeX Go Total Surface Area of Octahedron = 12*sqrt(3)*Insphere Radius of Octahedron^2

Total Surface Area of Octahedron

LaTeX Go Total Surface Area of Octahedron = 2*sqrt(3)*Edge Length of Octahedron^2

< Total Surface Area of Octahedron Calculators

Total Surface Area of Octahedron given Circumsphere Radius

LaTeX Go Total Surface Area of Octahedron = 4*sqrt(3)*Circumsphere Radius of Octahedron^2

Total Surface Area of Octahedron given Midsphere Radius

LaTeX Go Total Surface Area of Octahedron = 8*sqrt(3)*Midsphere Radius of Octahedron^2

Total Surface Area of Octahedron given Space Diagonal

LaTeX Go Total Surface Area of Octahedron = sqrt(3)*Space Diagonal of Octahedron^2

Total Surface Area of Octahedron

LaTeX Go Total Surface Area of Octahedron = 2*sqrt(3)*Edge Length of Octahedron^2

Total Surface Area of Octahedron Formula

LaTeX Go

Total Surface Area of Octahedron = 2*sqrt(3)*Edge Length of Octahedron^2
TSA = 2*sqrt(3)*l_e^2

What is an Octahedron?

An Octahedron is a symmetric and closed three dimensional shape with 8 identical equilateral triangular faces. It is a Platonic solid, which has 8 faces, 6 vertices and 12 edges. At each vertex, four equilateral triangular faces meet and at each edge, two equilateral triangular faces meet.

What are Platonic Solids?

In three-dimensional space, a Platonic solid is a regular, convex polyhedron. It is constructed by congruent (identical in shape and size), regular (all angles equal and all sides equal), polygonal faces with the same number of faces meeting at each vertex. Five solids who meet this criteria are Tetrahedron {3,3} , Cube {4,3} , Octahedron {3,4} , Dodecahedron {5,3} , Icosahedron {3,5} ; where in {p, q}, p represents the number of edges in a face and q represents the number of edges meeting at a vertex; {p, q} is the Schläfli symbol.

How to Calculate Total Surface Area of Octahedron?

Total Surface Area of Octahedron calculator uses Total Surface Area of Octahedron = 2*sqrt(3)*Edge Length of Octahedron^2 to calculate the Total Surface Area of Octahedron, Total Surface Area of Octahedron formula is defined as the total quantity of plane enclosed by the entire surface of the Octahedron. Total Surface Area of Octahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Octahedron using this online calculator? To use this online calculator for Total Surface Area of Octahedron, enter Edge Length of Octahedron (l_e) and hit the calculate button. Here is how the Total Surface Area of Octahedron calculation can be explained with given input values -> 346.4102 = 2*sqrt(3)*10^2.

FAQ

What is Total Surface Area of Octahedron?

Total Surface Area of Octahedron formula is defined as the total quantity of plane enclosed by the entire surface of the Octahedron and is represented as TSA = 2*sqrt(3)*l_e^2 or Total Surface Area of Octahedron = 2*sqrt(3)*Edge Length of Octahedron^2. Edge Length of Octahedron is the length of any of edges of the Octahedron or the distance between any pair of adjacent vertices of the Octahedron.

How to calculate Total Surface Area of Octahedron?

Total Surface Area of Octahedron formula is defined as the total quantity of plane enclosed by the entire surface of the Octahedron is calculated using Total Surface Area of Octahedron = 2*sqrt(3)*Edge Length of Octahedron^2. To calculate Total Surface Area of Octahedron, you need Edge Length of Octahedron (l_e). With our tool, you need to enter the respective value for Edge Length of Octahedron and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Total Surface Area of Octahedron?

In this formula, Total Surface Area of Octahedron uses Edge Length of Octahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Total Surface Area of Octahedron = 4*sqrt(3)*Circumsphere Radius of Octahedron^2
Total Surface Area of Octahedron = 8*sqrt(3)*Midsphere Radius of Octahedron^2
Total Surface Area of Octahedron = 12*sqrt(3)*Insphere Radius of Octahedron^2

Home

FREE PDFs

🔍 Search