Total Surface Area of Disheptahedron given Midsphere Radius Calculator

✖Midsphere Radius of Disheptahedron is the radius of the sphere for which all the edges of the Disheptahedron become a tangent line to that sphere.ⓘ Midsphere Radius of Disheptahedron [r_m]

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✖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 Midsphere Radius [TSA]

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Total Surface Area of Disheptahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Disheptahedron = 2*(3+sqrt(3))*((2*Midsphere Radius of Disheptahedron)/sqrt(3))^2
TSA = 2*(3+sqrt(3))*((2*r_m)/sqrt(3))^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.
Midsphere Radius of Disheptahedron - (Measured in Meter) - Midsphere Radius of Disheptahedron is the radius of the sphere for which all the edges of the Disheptahedron become a tangent line to that sphere.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Disheptahedron: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = 2*(3+sqrt(3))*((2*r_m)/sqrt(3))^2 --> 2*(3+sqrt(3))*((2*9)/sqrt(3))^2

Evaluating ... ...

TSA = 1022.12297443488

STEP 3: Convert Result to Output's Unit

1022.12297443488 Square Meter --> No Conversion Required

FINAL ANSWER

1022.12297443488 ≈ 1022.123 Square Meter <-- Total Surface Area of Disheptahedron

(Calculation completed in 00.004 seconds)

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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 given Midsphere Radius Formula

LaTeX Go

Total Surface Area of Disheptahedron = 2*(3+sqrt(3))*((2*Midsphere Radius of Disheptahedron)/sqrt(3))^2
TSA = 2*(3+sqrt(3))*((2*r_m)/sqrt(3))^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 Midsphere Radius?

Total Surface Area of Disheptahedron given Midsphere Radius calculator uses Total Surface Area of Disheptahedron = 2*(3+sqrt(3))*((2*Midsphere Radius of Disheptahedron)/sqrt(3))^2 to calculate the Total Surface Area of Disheptahedron, The Total Surface Area of Disheptahedron given Midsphere 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 midsphere radius of the Disheptahedron. Total Surface Area of Disheptahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Disheptahedron given Midsphere Radius using this online calculator? To use this online calculator for Total Surface Area of Disheptahedron given Midsphere Radius, enter Midsphere Radius of Disheptahedron (r_m) and hit the calculate button. Here is how the Total Surface Area of Disheptahedron given Midsphere Radius calculation can be explained with given input values -> 1022.123 = 2*(3+sqrt(3))*((2*9)/sqrt(3))^2.

FAQ

What is Total Surface Area of Disheptahedron given Midsphere Radius?

The Total Surface Area of Disheptahedron given Midsphere 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 midsphere radius of the Disheptahedron and is represented as TSA = 2*(3+sqrt(3))*((2*r_m)/sqrt(3))^2 or Total Surface Area of Disheptahedron = 2*(3+sqrt(3))*((2*Midsphere Radius of Disheptahedron)/sqrt(3))^2. Midsphere Radius of Disheptahedron is the radius of the sphere for which all the edges of the Disheptahedron become a tangent line to that sphere.

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

The Total Surface Area of Disheptahedron given Midsphere 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 midsphere radius of the Disheptahedron is calculated using Total Surface Area of Disheptahedron = 2*(3+sqrt(3))*((2*Midsphere Radius of Disheptahedron)/sqrt(3))^2. To calculate Total Surface Area of Disheptahedron given Midsphere Radius, you need Midsphere Radius of Disheptahedron (r_m). With our tool, you need to enter the respective value for Midsphere 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 Midsphere 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))*Circumsphere Radius of Disheptahedron^2

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