Surface to Volume Ratio of Triakis Tetrahedron given Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Surface to Volume Ratio of Triakis Tetrahedron = 4*(sqrt(11/2))*((3*sqrt(6))/(5*Height of Triakis Tetrahedron))
RA/V = 4*(sqrt(11/2))*((3*sqrt(6))/(5*h))
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
Surface to Volume Ratio of Triakis Tetrahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Triakis Tetrahedron is what part of or fraction of total volume of Triakis Tetrahedron is the total surface area.
Height of Triakis Tetrahedron - (Measured in Meter) - Height of Triakis Tetrahedron is the vertical distance from any vertex of the Triakis Tetrahedron to the face which is directly opposite to that vertex.
STEP 1: Convert Input(s) to Base Unit
Height of Triakis Tetrahedron: 25 Meter --> 25 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
RA/V = 4*(sqrt(11/2))*((3*sqrt(6))/(5*h)) --> 4*(sqrt(11/2))*((3*sqrt(6))/(5*25))
Evaluating ... ...
RA/V = 0.551478014067651
STEP 3: Convert Result to Output's Unit
0.551478014067651 1 per Meter --> No Conversion Required
FINAL ANSWER
0.551478014067651 0.551478 1 per Meter <-- Surface to Volume Ratio of Triakis Tetrahedron
(Calculation completed in 00.004 seconds)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi
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7 Surface to Volume Ratio of Triakis Tetrahedron Calculators

Surface to Volume Ratio of Triakis Tetrahedron given Total Surface Area
Go Surface to Volume Ratio of Triakis Tetrahedron = 4*(sqrt(11/2))*(sqrt((3*sqrt(11))/(5*Total Surface Area of Triakis Tetrahedron)))
Surface to Volume Ratio of Triakis Tetrahedron given Volume
Go Surface to Volume Ratio of Triakis Tetrahedron = 4*(sqrt(11/2))*(((3*sqrt(2))/(20*Volume of Triakis Tetrahedron))^(1/3))
Surface to Volume Ratio of Triakis Tetrahedron
Go Surface to Volume Ratio of Triakis Tetrahedron = (4*sqrt(11))/(Tetrahedral Edge Length of Triakis Tetrahedron*sqrt(2))
Surface to Volume Ratio of Triakis Tetrahedron given Height
Go Surface to Volume Ratio of Triakis Tetrahedron = 4*(sqrt(11/2))*((3*sqrt(6))/(5*Height of Triakis Tetrahedron))
Surface to Volume Ratio of Triakis Tetrahedron given Pyramidal Edge Length
Go Surface to Volume Ratio of Triakis Tetrahedron = 4*(sqrt(11/2))*(3/(5*Pyramidal Edge Length of Triakis Tetrahedron))
Surface to Volume Ratio of Triakis Tetrahedron given Midsphere Radius
Go Surface to Volume Ratio of Triakis Tetrahedron = sqrt(11)/Midsphere Radius of Triakis Tetrahedron
Surface to Volume Ratio of Triakis Tetrahedron given Insphere Radius
Go Surface to Volume Ratio of Triakis Tetrahedron = 3/Insphere Radius of Triakis Tetrahedron

Surface to Volume Ratio of Triakis Tetrahedron given Height Formula

Surface to Volume Ratio of Triakis Tetrahedron = 4*(sqrt(11/2))*((3*sqrt(6))/(5*Height of Triakis Tetrahedron))
RA/V = 4*(sqrt(11/2))*((3*sqrt(6))/(5*h))

What is Triakis Tetrahedron?

The Triakis Tetrahedron can be seen as a tetrahedron with a triangular pyramid added to each face; that is, it is the Kleetope of the tetrahedron. It is very similar to the net for the 5-cell, as the net for a tetrahedron is a triangle with other triangles added to each edge, the net for the 5-cell a tetrahedron with pyramids attached to each face.

How to Calculate Surface to Volume Ratio of Triakis Tetrahedron given Height?

Surface to Volume Ratio of Triakis Tetrahedron given Height calculator uses Surface to Volume Ratio of Triakis Tetrahedron = 4*(sqrt(11/2))*((3*sqrt(6))/(5*Height of Triakis Tetrahedron)) to calculate the Surface to Volume Ratio of Triakis Tetrahedron, Surface to Volume Ratio of Triakis Tetrahedron given Height formula is defined as what part of or fraction of total volume of Triakis Tetrahedron is the total surface area, and calculated using the height of Triakis Tetrahedron. Surface to Volume Ratio of Triakis Tetrahedron is denoted by RA/V symbol.

How to calculate Surface to Volume Ratio of Triakis Tetrahedron given Height using this online calculator? To use this online calculator for Surface to Volume Ratio of Triakis Tetrahedron given Height, enter Height of Triakis Tetrahedron (h) and hit the calculate button. Here is how the Surface to Volume Ratio of Triakis Tetrahedron given Height calculation can be explained with given input values -> 0.551478 = 4*(sqrt(11/2))*((3*sqrt(6))/(5*25)).

FAQ

What is Surface to Volume Ratio of Triakis Tetrahedron given Height?
Surface to Volume Ratio of Triakis Tetrahedron given Height formula is defined as what part of or fraction of total volume of Triakis Tetrahedron is the total surface area, and calculated using the height of Triakis Tetrahedron and is represented as RA/V = 4*(sqrt(11/2))*((3*sqrt(6))/(5*h)) or Surface to Volume Ratio of Triakis Tetrahedron = 4*(sqrt(11/2))*((3*sqrt(6))/(5*Height of Triakis Tetrahedron)). Height of Triakis Tetrahedron is the vertical distance from any vertex of the Triakis Tetrahedron to the face which is directly opposite to that vertex.
How to calculate Surface to Volume Ratio of Triakis Tetrahedron given Height?
Surface to Volume Ratio of Triakis Tetrahedron given Height formula is defined as what part of or fraction of total volume of Triakis Tetrahedron is the total surface area, and calculated using the height of Triakis Tetrahedron is calculated using Surface to Volume Ratio of Triakis Tetrahedron = 4*(sqrt(11/2))*((3*sqrt(6))/(5*Height of Triakis Tetrahedron)). To calculate Surface to Volume Ratio of Triakis Tetrahedron given Height, you need Height of Triakis Tetrahedron (h). With our tool, you need to enter the respective value for Height of Triakis Tetrahedron 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 Surface to Volume Ratio of Triakis Tetrahedron?
In this formula, Surface to Volume Ratio of Triakis Tetrahedron uses Height of Triakis Tetrahedron. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Surface to Volume Ratio of Triakis Tetrahedron = (4*sqrt(11))/(Tetrahedral Edge Length of Triakis Tetrahedron*sqrt(2))
  • Surface to Volume Ratio of Triakis Tetrahedron = 4*(sqrt(11/2))*(sqrt((3*sqrt(11))/(5*Total Surface Area of Triakis Tetrahedron)))
  • Surface to Volume Ratio of Triakis Tetrahedron = 4*(sqrt(11/2))*(3/(5*Pyramidal Edge Length of Triakis Tetrahedron))
  • Surface to Volume Ratio of Triakis Tetrahedron = 3/Insphere Radius of Triakis Tetrahedron
  • Surface to Volume Ratio of Triakis Tetrahedron = sqrt(11)/Midsphere Radius of Triakis Tetrahedron
  • Surface to Volume Ratio of Triakis Tetrahedron = 4*(sqrt(11/2))*(((3*sqrt(2))/(20*Volume of Triakis Tetrahedron))^(1/3))
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