Total Surface Area of Sphenocorona given Surface to Volume Ratio Calculator

✖Surface to Volume Ratio of Sphenocorona is the numerical ratio of the total surface area of a Sphenocorona to the volume of the Sphenocorona.ⓘ Surface to Volume Ratio of Sphenocorona [R_A/V]

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✖Total Surface Area of Sphenocorona is the total amount of two-dimensional space occupied by all the faces of the Sphenocorona.ⓘ Total Surface Area of Sphenocorona given Surface to Volume Ratio [TSA]

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Formula

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Total Surface Area of Sphenocorona given Surface to Volume Ratio

Formula

`"TSA" = (2+(3*sqrt(3)))*((2+(3*sqrt(3)))/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*"R"_{"A/V"}))^2`

Example

`"649.1338m²"=(2+(3*sqrt(3)))*((2+(3*sqrt(3)))/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*"0.5m⁻¹"))^2`

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Total Surface Area of Sphenocorona given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Sphenocorona = (2+(3*sqrt(3)))*((2+(3*sqrt(3)))/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*Surface to Volume Ratio of Sphenocorona))^2
TSA = (2+(3*sqrt(3)))*((2+(3*sqrt(3)))/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*R_A/V))^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 Sphenocorona - (Measured in Square Meter) - Total Surface Area of Sphenocorona is the total amount of two-dimensional space occupied by all the faces of the Sphenocorona.
Surface to Volume Ratio of Sphenocorona - (Measured in 1 per Meter) - Surface to Volume Ratio of Sphenocorona is the numerical ratio of the total surface area of a Sphenocorona to the volume of the Sphenocorona.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Sphenocorona: 0.5 1 per Meter --> 0.5 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = (2+(3*sqrt(3)))*((2+(3*sqrt(3)))/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*R_A/V))^2 --> (2+(3*sqrt(3)))*((2+(3*sqrt(3)))/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*0.5))^2

Evaluating ... ...

TSA = 649.133773673728

STEP 3: Convert Result to Output's Unit

649.133773673728 Square Meter --> No Conversion Required

FINAL ANSWER

649.133773673728 ≈ 649.1338 Square Meter <-- Total Surface Area of Sphenocorona

(Calculation completed in 00.004 seconds)

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< 3 Surface Area of Sphenocorona Calculators

Total Surface Area of Sphenocorona given Surface to Volume Ratio

Go Total Surface Area of Sphenocorona = (2+(3*sqrt(3)))*((2+(3*sqrt(3)))/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*Surface to Volume Ratio of Sphenocorona))^2

Total Surface Area of Sphenocorona given Volume

Go Total Surface Area of Sphenocorona = (2+(3*sqrt(3)))*(Volume of Sphenocorona/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))))^(2/3)

Total Surface Area of Sphenocorona

Go Total Surface Area of Sphenocorona = (2+(3*sqrt(3)))*Edge Length of Sphenocorona^2

Total Surface Area of Sphenocorona given Surface to Volume Ratio Formula

What is a Sphenocorona?

A Sphenocorona is a closed polyhedron, which is the Johnson solid generally denoted by J86. It consists of 14 faces which include 12 (2+2+4+4) equilateral triangles and 2 squares. Also, It has 22 edges and 10 vertices.

How to Calculate Total Surface Area of Sphenocorona given Surface to Volume Ratio?

Total Surface Area of Sphenocorona given Surface to Volume Ratio calculator uses Total Surface Area of Sphenocorona = (2+(3*sqrt(3)))*((2+(3*sqrt(3)))/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*Surface to Volume Ratio of Sphenocorona))^2 to calculate the Total Surface Area of Sphenocorona, The Total Surface Area of Sphenocorona given Surface to Volume Ratio formula is defined as the total amount of two-dimensional space occupied by all the faces of the Sphenocorona and is calculated using the surface to volume ratio of the Sphenocorona. Total Surface Area of Sphenocorona is denoted by TSA symbol.

How to calculate Total Surface Area of Sphenocorona given Surface to Volume Ratio using this online calculator? To use this online calculator for Total Surface Area of Sphenocorona given Surface to Volume Ratio, enter Surface to Volume Ratio of Sphenocorona (R_A/V) and hit the calculate button. Here is how the Total Surface Area of Sphenocorona given Surface to Volume Ratio calculation can be explained with given input values -> 649.1338 = (2+(3*sqrt(3)))*((2+(3*sqrt(3)))/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*0.5))^2.

FAQ

What is Total Surface Area of Sphenocorona given Surface to Volume Ratio?

The Total Surface Area of Sphenocorona given Surface to Volume Ratio formula is defined as the total amount of two-dimensional space occupied by all the faces of the Sphenocorona and is calculated using the surface to volume ratio of the Sphenocorona and is represented as TSA = (2+(3*sqrt(3)))*((2+(3*sqrt(3)))/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*R_A/V))^2 or Total Surface Area of Sphenocorona = (2+(3*sqrt(3)))*((2+(3*sqrt(3)))/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*Surface to Volume Ratio of Sphenocorona))^2. Surface to Volume Ratio of Sphenocorona is the numerical ratio of the total surface area of a Sphenocorona to the volume of the Sphenocorona.

How to calculate Total Surface Area of Sphenocorona given Surface to Volume Ratio?

The Total Surface Area of Sphenocorona given Surface to Volume Ratio formula is defined as the total amount of two-dimensional space occupied by all the faces of the Sphenocorona and is calculated using the surface to volume ratio of the Sphenocorona is calculated using Total Surface Area of Sphenocorona = (2+(3*sqrt(3)))*((2+(3*sqrt(3)))/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))*Surface to Volume Ratio of Sphenocorona))^2. To calculate Total Surface Area of Sphenocorona given Surface to Volume Ratio, you need Surface to Volume Ratio of Sphenocorona (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio of Sphenocorona 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 Sphenocorona?

In this formula, Total Surface Area of Sphenocorona uses Surface to Volume Ratio of Sphenocorona. We can use 2 other way(s) to calculate the same, which is/are as follows -

Total Surface Area of Sphenocorona = (2+(3*sqrt(3)))*Edge Length of Sphenocorona^2
Total Surface Area of Sphenocorona = (2+(3*sqrt(3)))*(Volume of Sphenocorona/(1/2*sqrt(1+(3*sqrt(3/2))+sqrt(13+(3*sqrt(6))))))^(2/3)

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