Total Surface Area of Elongated Dodecahedron given Surface to Volume Ratio Calculator

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

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✖Total Surface Area of Elongated Dodecahedron is the total quantity of plane enclosed on the entire surface of the Elongated Dodecahedron.ⓘ Total Surface Area of Elongated Dodecahedron given Surface to Volume Ratio [TSA]

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Total Surface Area of Elongated Dodecahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Elongated Dodecahedron = 2*sqrt(3)*(3+sqrt(5))*((sqrt(3)*(3+sqrt(5)))/(3*Surface to Volume Ratio of Elongated Dodecahedron))^2
TSA = 2*sqrt(3)*(3+sqrt(5))*((sqrt(3)*(3+sqrt(5)))/(3*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 Elongated Dodecahedron - (Measured in Square Meter) - Total Surface Area of Elongated Dodecahedron is the total quantity of plane enclosed on the entire surface of the Elongated Dodecahedron.
Surface to Volume Ratio of Elongated Dodecahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Elongated Dodecahedron is the numerical ratio of the total surface area of a Elongated Dodecahedron to the volume of the Elongated Dodecahedron.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Elongated Dodecahedron: 0.3 1 per Meter --> 0.3 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = 2*sqrt(3)*(3+sqrt(5))*((sqrt(3)*(3+sqrt(5)))/(3*R_A/V))^2 --> 2*sqrt(3)*(3+sqrt(5))*((sqrt(3)*(3+sqrt(5)))/(3*0.3))^2

Evaluating ... ...

TSA = 1841.8009275822

STEP 3: Convert Result to Output's Unit

1841.8009275822 Square Meter --> No Conversion Required

FINAL ANSWER

1841.8009275822 ≈ 1841.801 Square Meter <-- Total Surface Area of Elongated Dodecahedron

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

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< Surface Area of Elongated Dodecahedron Calculators

Total Surface Area of Elongated Dodecahedron given Height

LaTeX Go Total Surface Area of Elongated Dodecahedron = 2*sqrt(3)*(3+sqrt(5))*(Height of Elongated Dodecahedron/sqrt(3))^2

Total Surface Area of Elongated Dodecahedron given Volume

LaTeX Go Total Surface Area of Elongated Dodecahedron = 2*sqrt(3)*(3+sqrt(5))*(Volume of Elongated Dodecahedron/6)^(2/3)

Total Surface Area of Elongated Dodecahedron

LaTeX Go Total Surface Area of Elongated Dodecahedron = 2*sqrt(3)*(3+sqrt(5))*Edge Length of Elongated Dodecahedron^2

Total Surface Area of Elongated Dodecahedron given Width

LaTeX Go Total Surface Area of Elongated Dodecahedron = 2*sqrt(3)*(3+sqrt(5))*(Width of Elongated Dodecahedron/3)^2

Total Surface Area of Elongated Dodecahedron given Surface to Volume Ratio Formula

LaTeX Go

What is Elongated Dodecahedron?

The Elongated Dodecahedron, extended rhombic dodecahedron, rhombo-hexagonal dodecahedron or hexarhombic dodecahedron is a convex dodecahedron with 8 rhombic and 4 hexagonal faces. The hexagons can be made equilateral, or regular depending on the shape of the rhombi.

How to Calculate Total Surface Area of Elongated Dodecahedron given Surface to Volume Ratio?

Total Surface Area of Elongated Dodecahedron given Surface to Volume Ratio calculator uses Total Surface Area of Elongated Dodecahedron = 2*sqrt(3)*(3+sqrt(5))*((sqrt(3)*(3+sqrt(5)))/(3*Surface to Volume Ratio of Elongated Dodecahedron))^2 to calculate the Total Surface Area of Elongated Dodecahedron, Total Surface Area of Elongated Dodecahedron given Surface to Volume Ratio formula is defined as the total quantity of plane enclosed on the entire surface of the Elongated Dodecahedron, calculated using surface to volume ratio. Total Surface Area of Elongated Dodecahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Elongated Dodecahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Total Surface Area of Elongated Dodecahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Elongated Dodecahedron (R_A/V) and hit the calculate button. Here is how the Total Surface Area of Elongated Dodecahedron given Surface to Volume Ratio calculation can be explained with given input values -> 1841.801 = 2*sqrt(3)*(3+sqrt(5))*((sqrt(3)*(3+sqrt(5)))/(3*0.3))^2.

FAQ

What is Total Surface Area of Elongated Dodecahedron given Surface to Volume Ratio?

Total Surface Area of Elongated Dodecahedron given Surface to Volume Ratio formula is defined as the total quantity of plane enclosed on the entire surface of the Elongated Dodecahedron, calculated using surface to volume ratio and is represented as TSA = 2*sqrt(3)*(3+sqrt(5))*((sqrt(3)*(3+sqrt(5)))/(3*R_A/V))^2 or Total Surface Area of Elongated Dodecahedron = 2*sqrt(3)*(3+sqrt(5))*((sqrt(3)*(3+sqrt(5)))/(3*Surface to Volume Ratio of Elongated Dodecahedron))^2. Surface to Volume Ratio of Elongated Dodecahedron is the numerical ratio of the total surface area of a Elongated Dodecahedron to the volume of the Elongated Dodecahedron.

How to calculate Total Surface Area of Elongated Dodecahedron given Surface to Volume Ratio?

Total Surface Area of Elongated Dodecahedron given Surface to Volume Ratio formula is defined as the total quantity of plane enclosed on the entire surface of the Elongated Dodecahedron, calculated using surface to volume ratio is calculated using Total Surface Area of Elongated Dodecahedron = 2*sqrt(3)*(3+sqrt(5))*((sqrt(3)*(3+sqrt(5)))/(3*Surface to Volume Ratio of Elongated Dodecahedron))^2. To calculate Total Surface Area of Elongated Dodecahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Elongated Dodecahedron (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio of Elongated Dodecahedron 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 Elongated Dodecahedron?

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

Total Surface Area of Elongated Dodecahedron = 2*sqrt(3)*(3+sqrt(5))*Edge Length of Elongated Dodecahedron^2
Total Surface Area of Elongated Dodecahedron = 2*sqrt(3)*(3+sqrt(5))*(Width of Elongated Dodecahedron/3)^2
Total Surface Area of Elongated Dodecahedron = 2*sqrt(3)*(3+sqrt(5))*(Height of Elongated Dodecahedron/sqrt(3))^2

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