Total Surface Area of Half Tetrahedron given Surface to Volume Ratio Calculator

✖Surface to Volume Ratio of Half Tetrahedron is the fraction of surface area to the volume of the Half Tetrahedron.ⓘ Surface to Volume Ratio of Half Tetrahedron [R_A/V]

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✖The Total Surface Area of Half Tetrahedron is the total area or region occupied by all the faces of the Half Tetrahedron.ⓘ Total Surface Area of Half Tetrahedron given Surface to Volume Ratio [TSA]

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Formula

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Total Surface Area of Half Tetrahedron given Surface to Volume Ratio

Formula

`"TSA" = (sqrt(3)/2+1/4)*((sqrt(3)/2+1/4)/("R"_{"A/V"}/24*sqrt(2)))^2`

Example

`"100.0817m²"=(sqrt(3)/2+1/4)*((sqrt(3)/2+1/4)/("2m⁻¹"/24*sqrt(2)))^2`

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Total Surface Area of Half Tetrahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Half Tetrahedron = (sqrt(3)/2+1/4)*((sqrt(3)/2+1/4)/(Surface to Volume Ratio of Half Tetrahedron/24*sqrt(2)))^2
TSA = (sqrt(3)/2+1/4)*((sqrt(3)/2+1/4)/(R_A/V/24*sqrt(2)))^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 Half Tetrahedron - (Measured in Square Meter) - The Total Surface Area of Half Tetrahedron is the total area or region occupied by all the faces of the Half Tetrahedron.
Surface to Volume Ratio of Half Tetrahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Half Tetrahedron is the fraction of surface area to the volume of the Half Tetrahedron.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Half Tetrahedron: 2 1 per Meter --> 2 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = (sqrt(3)/2+1/4)*((sqrt(3)/2+1/4)/(R_A/V/24*sqrt(2)))^2 --> (sqrt(3)/2+1/4)*((sqrt(3)/2+1/4)/(2/24*sqrt(2)))^2

Evaluating ... ...

TSA = 100.08171475545

STEP 3: Convert Result to Output's Unit

100.08171475545 Square Meter --> No Conversion Required

FINAL ANSWER

100.08171475545 ≈ 100.0817 Square Meter <-- Total Surface Area of Half Tetrahedron

(Calculation completed in 00.004 seconds)

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< 5 Total Surface Area of Half Tetrahedron Calculators

Total Surface Area of Half Tetrahedron given Surface to Volume Ratio

Go Total Surface Area of Half Tetrahedron = (sqrt(3)/2+1/4)*((sqrt(3)/2+1/4)/(Surface to Volume Ratio of Half Tetrahedron/24*sqrt(2)))^2

Total Surface Area of Half Tetrahedron given Volume

Go Total Surface Area of Half Tetrahedron = (sqrt(3)/2+1/4)*((24*Volume of Half Tetrahedron)/(sqrt(2)))^(2/3)

Total Surface Area of Half Tetrahedron given Height

Go Total Surface Area of Half Tetrahedron = (((6*Height of Half Tetrahedron)/sqrt(6))^2)*((sqrt(3)/2)+(1/4))

Total Surface Area of Half Tetrahedron

Go Total Surface Area of Half Tetrahedron = (sqrt(3)/2+1/4)*Tetrahedral Edge of Half Tetrahedron^2

Total Surface Area of Half Tetrahedron given Half Edges

Go Total Surface Area of Half Tetrahedron = (sqrt(3)/2+1/4)*(2*Half Edge of Half Tetrahedron)^2

Total Surface Area of Half Tetrahedron given Surface to Volume Ratio Formula

Total Surface Area of Half Tetrahedron = (sqrt(3)/2+1/4)*((sqrt(3)/2+1/4)/(Surface to Volume Ratio of Half Tetrahedron/24*sqrt(2)))^2
TSA = (sqrt(3)/2+1/4)*((sqrt(3)/2+1/4)/(R_A/V/24*sqrt(2)))^2

What is a Half Tetrahedron?

In geometry, a tetrahedron (plural: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertex corners. The tetrahedron is the simplest of all the ordinary convex polyhedra and the only one that has fewer than 5 faces. A regular tetrahedron which is cut into half, so that a long wedge with a square base is formed. One edge a of the tetrahedron remains, the other eight edges b have half the length

How to Calculate Total Surface Area of Half Tetrahedron given Surface to Volume Ratio?

Total Surface Area of Half Tetrahedron given Surface to Volume Ratio calculator uses Total Surface Area of Half Tetrahedron = (sqrt(3)/2+1/4)*((sqrt(3)/2+1/4)/(Surface to Volume Ratio of Half Tetrahedron/24*sqrt(2)))^2 to calculate the Total Surface Area of Half Tetrahedron, The Total Surface Area of Half Tetrahedron given Surface to Volume Ratio formula is defined as the measure of the total area that the surface of the Half Tetrahedron occupies, calculated using its surface to volume ratio. Total Surface Area of Half Tetrahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Half Tetrahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Total Surface Area of Half Tetrahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Half Tetrahedron (R_A/V) and hit the calculate button. Here is how the Total Surface Area of Half Tetrahedron given Surface to Volume Ratio calculation can be explained with given input values -> 100.0817 = (sqrt(3)/2+1/4)*((sqrt(3)/2+1/4)/(2/24*sqrt(2)))^2.

FAQ

What is Total Surface Area of Half Tetrahedron given Surface to Volume Ratio?

The Total Surface Area of Half Tetrahedron given Surface to Volume Ratio formula is defined as the measure of the total area that the surface of the Half Tetrahedron occupies, calculated using its surface to volume ratio and is represented as TSA = (sqrt(3)/2+1/4)*((sqrt(3)/2+1/4)/(R_A/V/24*sqrt(2)))^2 or Total Surface Area of Half Tetrahedron = (sqrt(3)/2+1/4)*((sqrt(3)/2+1/4)/(Surface to Volume Ratio of Half Tetrahedron/24*sqrt(2)))^2. Surface to Volume Ratio of Half Tetrahedron is the fraction of surface area to the volume of the Half Tetrahedron.

How to calculate Total Surface Area of Half Tetrahedron given Surface to Volume Ratio?

The Total Surface Area of Half Tetrahedron given Surface to Volume Ratio formula is defined as the measure of the total area that the surface of the Half Tetrahedron occupies, calculated using its surface to volume ratio is calculated using Total Surface Area of Half Tetrahedron = (sqrt(3)/2+1/4)*((sqrt(3)/2+1/4)/(Surface to Volume Ratio of Half Tetrahedron/24*sqrt(2)))^2. To calculate Total Surface Area of Half Tetrahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Half Tetrahedron (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio of Half 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 Half Tetrahedron?

In this formula, Total Surface Area of Half Tetrahedron uses Surface to Volume Ratio of Half Tetrahedron. We can use 4 other way(s) to calculate the same, which is/are as follows -

Total Surface Area of Half Tetrahedron = (sqrt(3)/2+1/4)*Tetrahedral Edge of Half Tetrahedron^2
Total Surface Area of Half Tetrahedron = (sqrt(3)/2+1/4)*(2*Half Edge of Half Tetrahedron)^2
Total Surface Area of Half Tetrahedron = (((6*Height of Half Tetrahedron)/sqrt(6))^2)*((sqrt(3)/2)+(1/4))
Total Surface Area of Half Tetrahedron = (sqrt(3)/2+1/4)*((24*Volume of Half Tetrahedron)/(sqrt(2)))^(2/3)

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