Total Surface Area of Triakis Tetrahedron given Volume Calculator

✖Volume of Triakis Tetrahedron is the quantity of three dimensional space enclosed by the entire surface of Triakis Tetrahedron.ⓘ Volume of Triakis Tetrahedron [V]

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✖The Total Surface Area of Triakis Tetrahedron is the amount or quantity of two dimensional space covered on the surface of Triakis Tetrahedron.ⓘ Total Surface Area of Triakis Tetrahedron given Volume [TSA]

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Total Surface Area of Triakis Tetrahedron given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Triakis Tetrahedron = (3/5)*(sqrt(11))*((20*Volume of Triakis Tetrahedron)/(3*sqrt(2)))^(2/3)
TSA = (3/5)*(sqrt(11))*((20*V)/(3*sqrt(2)))^(2/3)
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 Triakis Tetrahedron - (Measured in Square Meter) - The Total Surface Area of Triakis Tetrahedron is the amount or quantity of two dimensional space covered on the surface of Triakis Tetrahedron.
Volume of Triakis Tetrahedron - (Measured in Cubic Meter) - Volume of Triakis Tetrahedron is the quantity of three dimensional space enclosed by the entire surface of Triakis Tetrahedron.

STEP 1: Convert Input(s) to Base Unit

Volume of Triakis Tetrahedron: 980 Cubic Meter --> 980 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = (3/5)*(sqrt(11))*((20*V)/(3*sqrt(2)))^(2/3) --> (3/5)*(sqrt(11))*((20*980)/(3*sqrt(2)))^(2/3)

Evaluating ... ...

TSA = 551.985249213212

STEP 3: Convert Result to Output's Unit

551.985249213212 Square Meter --> No Conversion Required

FINAL ANSWER

551.985249213212 ≈ 551.9852 Square Meter <-- Total Surface Area of Triakis Tetrahedron

(Calculation completed in 00.006 seconds)

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< Total Surface Area of Triakis Tetrahedron Calculators

Total Surface Area of Triakis Tetrahedron given Volume

LaTeX Go Total Surface Area of Triakis Tetrahedron = (3/5)*(sqrt(11))*((20*Volume of Triakis Tetrahedron)/(3*sqrt(2)))^(2/3)

Total Surface Area of Triakis Tetrahedron

LaTeX Go Total Surface Area of Triakis Tetrahedron = (3/5)*(Tetrahedral Edge Length of Triakis Tetrahedron)^2*sqrt(11)

Total Surface Area of Triakis Tetrahedron given Pyramidal Edge Length

LaTeX Go Total Surface Area of Triakis Tetrahedron = (5/3)*sqrt(11)*(Pyramidal Edge Length of Triakis Tetrahedron)^2

Total Surface Area of Triakis Tetrahedron given Height

LaTeX Go Total Surface Area of Triakis Tetrahedron = (5/18)*sqrt(11)*(Height of Triakis Tetrahedron^2)

Total Surface Area of Triakis Tetrahedron given Volume Formula

LaTeX Go

Total Surface Area of Triakis Tetrahedron = (3/5)*(sqrt(11))*((20*Volume of Triakis Tetrahedron)/(3*sqrt(2)))^(2/3)
TSA = (3/5)*(sqrt(11))*((20*V)/(3*sqrt(2)))^(2/3)

What is Triakis 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. This interpretation is expressed in the name.
The length of the shorter edges is 3/5 that of the longer edges.[2] If the Triakis Tetrahedron has shorter edge length 1, it has area 5/3√11 and volume 25/36√2.

How to Calculate Total Surface Area of Triakis Tetrahedron given Volume?

Total Surface Area of Triakis Tetrahedron given Volume calculator uses Total Surface Area of Triakis Tetrahedron = (3/5)*(sqrt(11))*((20*Volume of Triakis Tetrahedron)/(3*sqrt(2)))^(2/3) to calculate the Total Surface Area of Triakis Tetrahedron, Total Surface Area of Triakis Tetrahedron given Volume formula is defined as the amount or quantity of two dimensional space covered on the surface of Triakis Tetrahedron, and calculated using volume of Triakis Tetrahedron. Total Surface Area of Triakis Tetrahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Triakis Tetrahedron given Volume using this online calculator? To use this online calculator for Total Surface Area of Triakis Tetrahedron given Volume, enter Volume of Triakis Tetrahedron (V) and hit the calculate button. Here is how the Total Surface Area of Triakis Tetrahedron given Volume calculation can be explained with given input values -> 551.9852 = (3/5)*(sqrt(11))*((20*980)/(3*sqrt(2)))^(2/3).

FAQ

What is Total Surface Area of Triakis Tetrahedron given Volume?

Total Surface Area of Triakis Tetrahedron given Volume formula is defined as the amount or quantity of two dimensional space covered on the surface of Triakis Tetrahedron, and calculated using volume of Triakis Tetrahedron and is represented as TSA = (3/5)*(sqrt(11))*((20*V)/(3*sqrt(2)))^(2/3) or Total Surface Area of Triakis Tetrahedron = (3/5)*(sqrt(11))*((20*Volume of Triakis Tetrahedron)/(3*sqrt(2)))^(2/3). Volume of Triakis Tetrahedron is the quantity of three dimensional space enclosed by the entire surface of Triakis Tetrahedron.

How to calculate Total Surface Area of Triakis Tetrahedron given Volume?

Total Surface Area of Triakis Tetrahedron given Volume formula is defined as the amount or quantity of two dimensional space covered on the surface of Triakis Tetrahedron, and calculated using volume of Triakis Tetrahedron is calculated using Total Surface Area of Triakis Tetrahedron = (3/5)*(sqrt(11))*((20*Volume of Triakis Tetrahedron)/(3*sqrt(2)))^(2/3). To calculate Total Surface Area of Triakis Tetrahedron given Volume, you need Volume of Triakis Tetrahedron (V). With our tool, you need to enter the respective value for Volume 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 Total Surface Area of Triakis Tetrahedron?

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

Total Surface Area of Triakis Tetrahedron = (3/5)*(Tetrahedral Edge Length of Triakis Tetrahedron)^2*sqrt(11)
Total Surface Area of Triakis Tetrahedron = (5/3)*sqrt(11)*(Pyramidal Edge Length of Triakis Tetrahedron)^2
Total Surface Area of Triakis Tetrahedron = (5/18)*sqrt(11)*(Height of Triakis Tetrahedron^2)

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