Total Surface Area of Disheptahedron Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Surface Area of Disheptahedron = 2*(3+sqrt(3))*Edge Length of Disheptahedron^2
TSA = 2*(3+sqrt(3))*le^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 Disheptahedron - (Measured in Square Meter) - Total Surface Area of Disheptahedron is the total amount of two-dimensional space occupied by all the faces of the Disheptahedron.
Edge Length of Disheptahedron - (Measured in Meter) - Edge Length of Disheptahedron is the length of any edge of a Disheptahedron.
STEP 1: Convert Input(s) to Base Unit
Edge Length of Disheptahedron: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
TSA = 2*(3+sqrt(3))*le^2 --> 2*(3+sqrt(3))*10^2
Evaluating ... ...
TSA = 946.410161513775
STEP 3: Convert Result to Output's Unit
946.410161513775 Square Meter --> No Conversion Required
FINAL ANSWER
946.410161513775 946.4102 Square Meter <-- Total Surface Area of Disheptahedron
(Calculation completed in 00.004 seconds)

Credits

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Created by Mona Gladys
St Joseph's College (SJC), Bengaluru
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Verified by Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
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Surface Area of Disheptahedron Calculators

Total Surface Area of Disheptahedron given Midsphere Radius
​ LaTeX ​ Go Total Surface Area of Disheptahedron = 2*(3+sqrt(3))*((2*Midsphere Radius of Disheptahedron)/sqrt(3))^2
Total Surface Area of Disheptahedron given Volume
​ LaTeX ​ Go Total Surface Area of Disheptahedron = 2*(3+sqrt(3))*((3*Volume of Disheptahedron)/(5*sqrt(2)))^(2/3)
Total Surface Area of Disheptahedron given Circumsphere Radius
​ LaTeX ​ Go Total Surface Area of Disheptahedron = 2*(3+sqrt(3))*Circumsphere Radius of Disheptahedron^2
Total Surface Area of Disheptahedron
​ LaTeX ​ Go Total Surface Area of Disheptahedron = 2*(3+sqrt(3))*Edge Length of Disheptahedron^2

Total Surface Area of Disheptahedron Formula

​LaTeX ​Go
Total Surface Area of Disheptahedron = 2*(3+sqrt(3))*Edge Length of Disheptahedron^2
TSA = 2*(3+sqrt(3))*le^2

What is a Disheptahedron?

A Disheptahedron is a symmetric, closed, and convex polyhedron, which is the Johnson solid generally denoted by J27. It is also called anticuboctahedron or twisted cuboctahedron or triangular orthobicupola. It has 14 faces which include 8 equilateral triangular faces and 6 square faces. Also, It has 24 edges and 12 vertices.

How to Calculate Total Surface Area of Disheptahedron?

Total Surface Area of Disheptahedron calculator uses Total Surface Area of Disheptahedron = 2*(3+sqrt(3))*Edge Length of Disheptahedron^2 to calculate the Total Surface Area of Disheptahedron, The Total Surface Area of Disheptahedron formula is defined as the total amount of two-dimensional space occupied by all the faces of the Disheptahedron. Total Surface Area of Disheptahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Disheptahedron using this online calculator? To use this online calculator for Total Surface Area of Disheptahedron, enter Edge Length of Disheptahedron (le) and hit the calculate button. Here is how the Total Surface Area of Disheptahedron calculation can be explained with given input values -> 946.4102 = 2*(3+sqrt(3))*10^2.

FAQ

What is Total Surface Area of Disheptahedron?
The Total Surface Area of Disheptahedron formula is defined as the total amount of two-dimensional space occupied by all the faces of the Disheptahedron and is represented as TSA = 2*(3+sqrt(3))*le^2 or Total Surface Area of Disheptahedron = 2*(3+sqrt(3))*Edge Length of Disheptahedron^2. Edge Length of Disheptahedron is the length of any edge of a Disheptahedron.
How to calculate Total Surface Area of Disheptahedron?
The Total Surface Area of Disheptahedron formula is defined as the total amount of two-dimensional space occupied by all the faces of the Disheptahedron is calculated using Total Surface Area of Disheptahedron = 2*(3+sqrt(3))*Edge Length of Disheptahedron^2. To calculate Total Surface Area of Disheptahedron, you need Edge Length of Disheptahedron (le). With our tool, you need to enter the respective value for Edge Length of Disheptahedron 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 Disheptahedron?
In this formula, Total Surface Area of Disheptahedron uses Edge Length of Disheptahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Total Surface Area of Disheptahedron = 2*(3+sqrt(3))*((3*Volume of Disheptahedron)/(5*sqrt(2)))^(2/3)
  • Total Surface Area of Disheptahedron = 2*(3+sqrt(3))*Circumsphere Radius of Disheptahedron^2
  • Total Surface Area of Disheptahedron = 2*(3+sqrt(3))*((2*Midsphere Radius of Disheptahedron)/sqrt(3))^2
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