Insphere Radius of Rhombic Dodecahedron given Total Surface Area Calculator

✖Total Surface Area of Rhombic Dodecahedron is the total quantity of plane enclosed on the entire surface of the Rhombic Dodecahedron.ⓘ Total Surface Area of Rhombic Dodecahedron [TSA]

+10%

-10%

✖Insphere Radius of Rhombic Dodecahedron is the radius of the sphere that is contained by the Rhombic Dodecahedron in such a way that all the faces are just touching the sphere.ⓘ Insphere Radius of Rhombic Dodecahedron given Total Surface Area [r_i]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Insphere Radius of Rhombic Dodecahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Insphere Radius of Rhombic Dodecahedron = sqrt(6)/3*sqrt(Total Surface Area of Rhombic Dodecahedron/(8*sqrt(2)))
r_i = sqrt(6)/3*sqrt(TSA/(8*sqrt(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

Insphere Radius of Rhombic Dodecahedron - (Measured in Meter) - Insphere Radius of Rhombic Dodecahedron is the radius of the sphere that is contained by the Rhombic Dodecahedron in such a way that all the faces are just touching the sphere.
Total Surface Area of Rhombic Dodecahedron - (Measured in Square Meter) - Total Surface Area of Rhombic Dodecahedron is the total quantity of plane enclosed on the entire surface of the Rhombic Dodecahedron.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Rhombic Dodecahedron: 1150 Square Meter --> 1150 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = sqrt(6)/3*sqrt(TSA/(8*sqrt(2))) --> sqrt(6)/3*sqrt(1150/(8*sqrt(2)))

Evaluating ... ...

r_i = 8.23191349952797

STEP 3: Convert Result to Output's Unit

8.23191349952797 Meter --> No Conversion Required

FINAL ANSWER

8.23191349952797 ≈ 8.231913 Meter <-- Insphere Radius of Rhombic Dodecahedron

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » CatalanSolids » Rhombic Dodecahedron » Radius of Rhombic Dodecahedron » Insphere Radius of Rhombic Dodecahedron » Insphere Radius of Rhombic Dodecahedron given Total Surface Area

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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

< Insphere Radius of Rhombic Dodecahedron Calculators

Insphere Radius of Rhombic Dodecahedron given Total Surface Area

LaTeX Go Insphere Radius of Rhombic Dodecahedron = sqrt(6)/3*sqrt(Total Surface Area of Rhombic Dodecahedron/(8*sqrt(2)))

Insphere Radius of Rhombic Dodecahedron given Volume

LaTeX Go Insphere Radius of Rhombic Dodecahedron = sqrt(6)/3*((9*Volume of Rhombic Dodecahedron)/(16*sqrt(3)))^(1/3)

Insphere Radius of Rhombic Dodecahedron given Midsphere Radius

LaTeX Go Insphere Radius of Rhombic Dodecahedron = sqrt(3)/2*Midsphere Radius of Rhombic Dodecahedron

Insphere Radius of Rhombic Dodecahedron

LaTeX Go Insphere Radius of Rhombic Dodecahedron = sqrt(6)/3*Edge Length of Rhombic Dodecahedron

Insphere Radius of Rhombic Dodecahedron given Total Surface Area Formula

LaTeX Go

Insphere Radius of Rhombic Dodecahedron = sqrt(6)/3*sqrt(Total Surface Area of Rhombic Dodecahedron/(8*sqrt(2)))
r_i = sqrt(6)/3*sqrt(TSA/(8*sqrt(2)))

What is Rhombic Dodecahedron?

In geometry, the Rhombic Dodecahedron is a convex polyhedron with 12 congruent rhombic faces. It has 24 edges, and 14 vertices of two types. It is a Catalan solid, and the dual polyhedron of the cuboctahedron.

How to Calculate Insphere Radius of Rhombic Dodecahedron given Total Surface Area?

Insphere Radius of Rhombic Dodecahedron given Total Surface Area calculator uses Insphere Radius of Rhombic Dodecahedron = sqrt(6)/3*sqrt(Total Surface Area of Rhombic Dodecahedron/(8*sqrt(2))) to calculate the Insphere Radius of Rhombic Dodecahedron, Insphere Radius of Rhombic Dodecahedron given Total Surface Area formula is defined as the radius of the sphere that is contained by the Rhombic Dodecahedron in such a way that all the faces are just touching the sphere, calculated using total surface area of Rhombic Dodecahedron. Insphere Radius of Rhombic Dodecahedron is denoted by r_i symbol.

How to calculate Insphere Radius of Rhombic Dodecahedron given Total Surface Area using this online calculator? To use this online calculator for Insphere Radius of Rhombic Dodecahedron given Total Surface Area, enter Total Surface Area of Rhombic Dodecahedron (TSA) and hit the calculate button. Here is how the Insphere Radius of Rhombic Dodecahedron given Total Surface Area calculation can be explained with given input values -> 8.231913 = sqrt(6)/3*sqrt(1150/(8*sqrt(2))).

FAQ

What is Insphere Radius of Rhombic Dodecahedron given Total Surface Area?

Insphere Radius of Rhombic Dodecahedron given Total Surface Area formula is defined as the radius of the sphere that is contained by the Rhombic Dodecahedron in such a way that all the faces are just touching the sphere, calculated using total surface area of Rhombic Dodecahedron and is represented as r_i = sqrt(6)/3*sqrt(TSA/(8*sqrt(2))) or Insphere Radius of Rhombic Dodecahedron = sqrt(6)/3*sqrt(Total Surface Area of Rhombic Dodecahedron/(8*sqrt(2))). Total Surface Area of Rhombic Dodecahedron is the total quantity of plane enclosed on the entire surface of the Rhombic Dodecahedron.

How to calculate Insphere Radius of Rhombic Dodecahedron given Total Surface Area?

Insphere Radius of Rhombic Dodecahedron given Total Surface Area formula is defined as the radius of the sphere that is contained by the Rhombic Dodecahedron in such a way that all the faces are just touching the sphere, calculated using total surface area of Rhombic Dodecahedron is calculated using Insphere Radius of Rhombic Dodecahedron = sqrt(6)/3*sqrt(Total Surface Area of Rhombic Dodecahedron/(8*sqrt(2))). To calculate Insphere Radius of Rhombic Dodecahedron given Total Surface Area, you need Total Surface Area of Rhombic Dodecahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area of Rhombic Dodecahedron 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 Insphere Radius of Rhombic Dodecahedron?

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

Insphere Radius of Rhombic Dodecahedron = sqrt(6)/3*Edge Length of Rhombic Dodecahedron
Insphere Radius of Rhombic Dodecahedron = sqrt(6)/3*((9*Volume of Rhombic Dodecahedron)/(16*sqrt(3)))^(1/3)
Insphere Radius of Rhombic Dodecahedron = sqrt(3)/2*Midsphere Radius of Rhombic Dodecahedron

Home

FREE PDFs

🔍 Search