Midsphere Radius of Truncated Tetrahedron Solution

STEP 0: Pre-Calculation Summary
Formula Used
Midsphere Radius of Truncated Tetrahedron = 3/4*sqrt(2)*Edge Length of Truncated Tetrahedron
rm = 3/4*sqrt(2)*le
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
Midsphere Radius of Truncated Tetrahedron - (Measured in Meter) - Midsphere Radius of Truncated Tetrahedron is the radius of the sphere for which all the edges of the Truncated Tetrahedron become a tangent line to that sphere.
Edge Length of Truncated Tetrahedron - (Measured in Meter) - Edge Length of Truncated Tetrahedron is the length of any edge of the Truncated Tetrahedron.
STEP 1: Convert Input(s) to Base Unit
Edge Length of Truncated Tetrahedron: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rm = 3/4*sqrt(2)*le --> 3/4*sqrt(2)*10
Evaluating ... ...
rm = 10.6066017177982
STEP 3: Convert Result to Output's Unit
10.6066017177982 Meter --> No Conversion Required
FINAL ANSWER
10.6066017177982 10.6066 Meter <-- Midsphere Radius of Truncated Tetrahedron
(Calculation completed in 00.004 seconds)

Credits

Created by Mona Gladys
St Joseph's College (SJC), Bengaluru
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Verified by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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2 Radius of Truncated Tetrahedron Calculators

Circumsphere Radius of Truncated Tetrahedron
Go Circumsphere Radius of Truncated Tetrahedron = Edge Length of Truncated Tetrahedron/4*sqrt(22)
Midsphere Radius of Truncated Tetrahedron
Go Midsphere Radius of Truncated Tetrahedron = 3/4*sqrt(2)*Edge Length of Truncated Tetrahedron

Midsphere Radius of Truncated Tetrahedron Formula

Midsphere Radius of Truncated Tetrahedron = 3/4*sqrt(2)*Edge Length of Truncated Tetrahedron
rm = 3/4*sqrt(2)*le

What is a Truncated Tetrahedron?

A Truncated Tetrahedron is constructed by cutting off the vertices of a tetrahedron in a way, so that every edge has the same length. Its dual body is the triakis tetrahedron. A Truncated Tetrahedron has 8 faces which include 4 hexagonal faces and 4 triangular faces, 18 edges and 12 vertices.

How to Calculate Midsphere Radius of Truncated Tetrahedron?

Midsphere Radius of Truncated Tetrahedron calculator uses Midsphere Radius of Truncated Tetrahedron = 3/4*sqrt(2)*Edge Length of Truncated Tetrahedron to calculate the Midsphere Radius of Truncated Tetrahedron, Midsphere Radius of Truncated Tetrahedron formula is defined as the radius of the sphere for which all the edges of the Truncated Tetrahedron become a tangent line to that sphere. Midsphere Radius of Truncated Tetrahedron is denoted by rm symbol.

How to calculate Midsphere Radius of Truncated Tetrahedron using this online calculator? To use this online calculator for Midsphere Radius of Truncated Tetrahedron, enter Edge Length of Truncated Tetrahedron (le) and hit the calculate button. Here is how the Midsphere Radius of Truncated Tetrahedron calculation can be explained with given input values -> 10.6066 = 3/4*sqrt(2)*10.

FAQ

What is Midsphere Radius of Truncated Tetrahedron?
Midsphere Radius of Truncated Tetrahedron formula is defined as the radius of the sphere for which all the edges of the Truncated Tetrahedron become a tangent line to that sphere and is represented as rm = 3/4*sqrt(2)*le or Midsphere Radius of Truncated Tetrahedron = 3/4*sqrt(2)*Edge Length of Truncated Tetrahedron. Edge Length of Truncated Tetrahedron is the length of any edge of the Truncated Tetrahedron.
How to calculate Midsphere Radius of Truncated Tetrahedron?
Midsphere Radius of Truncated Tetrahedron formula is defined as the radius of the sphere for which all the edges of the Truncated Tetrahedron become a tangent line to that sphere is calculated using Midsphere Radius of Truncated Tetrahedron = 3/4*sqrt(2)*Edge Length of Truncated Tetrahedron. To calculate Midsphere Radius of Truncated Tetrahedron, you need Edge Length of Truncated Tetrahedron (le). With our tool, you need to enter the respective value for Edge Length of Truncated Tetrahedron and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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