Total Surface Area of Disheptahedron given Circumsphere Radius Calculator

✖Circumsphere Radius of Disheptahedron is the radius of the sphere that contains the Disheptahedron in such a way that all the vertices of the Disheptahedron are touching the sphere.ⓘ Circumsphere Radius of Disheptahedron [r_c]

+10%

-10%

✖Total Surface Area of Disheptahedron is the total amount of two-dimensional space occupied by all the faces of the Disheptahedron.ⓘ Total Surface Area of Disheptahedron given Circumsphere Radius [TSA]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Johnson Solids Formula PDF PDF Image

Total Surface Area of Disheptahedron given Circumsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Disheptahedron = 2*(3+sqrt(3))*Circumsphere Radius of Disheptahedron^2
TSA = 2*(3+sqrt(3))*r_c^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.
Circumsphere Radius of Disheptahedron - (Measured in Meter) - Circumsphere Radius of Disheptahedron is the radius of the sphere that contains the Disheptahedron in such a way that all the vertices of the Disheptahedron are touching the sphere.

STEP 1: Convert Input(s) to Base Unit

Circumsphere Radius of Disheptahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = 2*(3+sqrt(3))*r_c^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)

You are here -

Home » Math » Geometry » 3D Geometry » Johnson Solids » Disheptahedron » Surface Area of Disheptahedron » Total Surface Area of Disheptahedron given Circumsphere Radius

Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 1700+ more calculators!

< 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 given Circumsphere Radius Formula

LaTeX Go

Total Surface Area of Disheptahedron = 2*(3+sqrt(3))*Circumsphere Radius of Disheptahedron^2
TSA = 2*(3+sqrt(3))*r_c^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 given Circumsphere Radius?

Total Surface Area of Disheptahedron given Circumsphere Radius calculator uses Total Surface Area of Disheptahedron = 2*(3+sqrt(3))*Circumsphere Radius of Disheptahedron^2 to calculate the Total Surface Area of Disheptahedron, The Total Surface Area of Disheptahedron given Circumsphere Radius formula is defined as the total amount of two-dimensional space occupied by all the faces of the Disheptahedron and is calculated using the circumsphere radius of the Disheptahedron. Total Surface Area of Disheptahedron is denoted by TSA symbol.

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

FAQ

What is Total Surface Area of Disheptahedron given Circumsphere Radius?

The Total Surface Area of Disheptahedron given Circumsphere Radius formula is defined as the total amount of two-dimensional space occupied by all the faces of the Disheptahedron and is calculated using the circumsphere radius of the Disheptahedron and is represented as TSA = 2*(3+sqrt(3))*r_c^2 or Total Surface Area of Disheptahedron = 2*(3+sqrt(3))*Circumsphere Radius of Disheptahedron^2. Circumsphere Radius of Disheptahedron is the radius of the sphere that contains the Disheptahedron in such a way that all the vertices of the Disheptahedron are touching the sphere.

How to calculate Total Surface Area of Disheptahedron given Circumsphere Radius?

The Total Surface Area of Disheptahedron given Circumsphere Radius formula is defined as the total amount of two-dimensional space occupied by all the faces of the Disheptahedron and is calculated using the circumsphere radius of the Disheptahedron is calculated using Total Surface Area of Disheptahedron = 2*(3+sqrt(3))*Circumsphere Radius of Disheptahedron^2. To calculate Total Surface Area of Disheptahedron given Circumsphere Radius, you need Circumsphere Radius of Disheptahedron (r_c). With our tool, you need to enter the respective value for Circumsphere Radius 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 Circumsphere Radius 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))*Edge Length of Disheptahedron^2
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))*((2*Midsphere Radius of Disheptahedron)/sqrt(3))^2

Home

FREE PDFs

🔍 Search