Volume 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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✖Volume of Elongated Dodecahedron is the total quantity of three dimensional space enclosed by the surface of the Elongated Dodecahedron.ⓘ Volume of Elongated Dodecahedron given Surface to Volume Ratio [V]

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Volume of Elongated Dodecahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Elongated Dodecahedron = 6*((sqrt(3)*(3+sqrt(5)))/(3*Surface to Volume Ratio of Elongated Dodecahedron))^3
V = 6*((sqrt(3)*(3+sqrt(5)))/(3*R_A/V))^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

Volume of Elongated Dodecahedron - (Measured in Cubic Meter) - Volume of Elongated Dodecahedron is the total quantity of three dimensional space enclosed by the 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

V = 6*((sqrt(3)*(3+sqrt(5)))/(3*R_A/V))^3 --> 6*((sqrt(3)*(3+sqrt(5)))/(3*0.3))^3

Evaluating ... ...

V = 6139.33642527399

STEP 3: Convert Result to Output's Unit

6139.33642527399 Cubic Meter --> No Conversion Required

FINAL ANSWER

6139.33642527399 ≈ 6139.336 Cubic Meter <-- Volume of Elongated Dodecahedron

(Calculation completed in 00.006 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< Volume of Elongated Dodecahedron Calculators

Volume of Elongated Dodecahedron given Total Surface Area

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

Volume of Elongated Dodecahedron given Height

LaTeX Go Volume of Elongated Dodecahedron = 6*(Height of Elongated Dodecahedron/sqrt(3))^3

Volume of Elongated Dodecahedron

LaTeX Go Volume of Elongated Dodecahedron = 6*Edge Length of Elongated Dodecahedron^3

Volume of Elongated Dodecahedron given Width

LaTeX Go Volume of Elongated Dodecahedron = 6*(Width of Elongated Dodecahedron/3)^3

Volume of Elongated Dodecahedron given Surface to Volume Ratio Formula

LaTeX Go

Volume of Elongated Dodecahedron = 6*((sqrt(3)*(3+sqrt(5)))/(3*Surface to Volume Ratio of Elongated Dodecahedron))^3
V = 6*((sqrt(3)*(3+sqrt(5)))/(3*R_A/V))^3

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 Volume of Elongated Dodecahedron given Surface to Volume Ratio?

Volume of Elongated Dodecahedron given Surface to Volume Ratio calculator uses Volume of Elongated Dodecahedron = 6*((sqrt(3)*(3+sqrt(5)))/(3*Surface to Volume Ratio of Elongated Dodecahedron))^3 to calculate the Volume of Elongated Dodecahedron, Volume of Elongated Dodecahedron given Surface to Volume Ratio formula is defined as the total quantity of three dimensional space enclosed by the surface of the Elongated Dodecahedron, calculated using surface to volume ratio. Volume of Elongated Dodecahedron is denoted by V symbol.

How to calculate Volume of Elongated Dodecahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Volume 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 Volume of Elongated Dodecahedron given Surface to Volume Ratio calculation can be explained with given input values -> 6139.336 = 6*((sqrt(3)*(3+sqrt(5)))/(3*0.3))^3.

FAQ

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

Volume of Elongated Dodecahedron given Surface to Volume Ratio formula is defined as the total quantity of three dimensional space enclosed by the surface of the Elongated Dodecahedron, calculated using surface to volume ratio and is represented as V = 6*((sqrt(3)*(3+sqrt(5)))/(3*R_A/V))^3 or Volume of Elongated Dodecahedron = 6*((sqrt(3)*(3+sqrt(5)))/(3*Surface to Volume Ratio of Elongated Dodecahedron))^3. 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 Volume of Elongated Dodecahedron given Surface to Volume Ratio?

Volume of Elongated Dodecahedron given Surface to Volume Ratio formula is defined as the total quantity of three dimensional space enclosed by the surface of the Elongated Dodecahedron, calculated using surface to volume ratio is calculated using Volume of Elongated Dodecahedron = 6*((sqrt(3)*(3+sqrt(5)))/(3*Surface to Volume Ratio of Elongated Dodecahedron))^3. To calculate Volume 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 Volume of Elongated Dodecahedron?

In this formula, Volume 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 -

Volume of Elongated Dodecahedron = 6*Edge Length of Elongated Dodecahedron^3
Volume of Elongated Dodecahedron = 6*(Width of Elongated Dodecahedron/3)^3
Volume of Elongated Dodecahedron = 6*(Height of Elongated Dodecahedron/sqrt(3))^3

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