Surface to Volume Ratio of Elongated Dodecahedron given Volume Calculator

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

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✖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 given Volume [R_A/V]

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Formula

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Surface to Volume Ratio of Elongated Dodecahedron given Volume

Formula

`"R"_{"A/V"} = (sqrt(3)*(3+sqrt(5)))/(3*("V"/6)^(1/3))`

Example

`"0.302305m⁻¹"=(sqrt(3)*(3+sqrt(5)))/(3*("6000m³"/6)^(1/3))`

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Surface to Volume Ratio of Elongated Dodecahedron given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Elongated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/(3*(Volume of Elongated Dodecahedron/6)^(1/3))
R_A/V = (sqrt(3)*(3+sqrt(5)))/(3*(V/6)^(1/3))
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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Volume of Elongated Dodecahedron: 6000 Cubic Meter --> 6000 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = (sqrt(3)*(3+sqrt(5)))/(3*(V/6)^(1/3)) --> (sqrt(3)*(3+sqrt(5)))/(3*(6000/6)^(1/3))

Evaluating ... ...

R_A/V = 0.302304525630468

STEP 3: Convert Result to Output's Unit

0.302304525630468 1 per Meter --> No Conversion Required

FINAL ANSWER

0.302304525630468 ≈ 0.302305 1 per Meter <-- Surface to Volume Ratio of Elongated Dodecahedron

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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St Joseph's College (SJC), Bengaluru

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< 5 Surface to Volume Ratio of Elongated Dodecahedron Calculators

Surface to Volume Ratio of Elongated Dodecahedron given Total Surface Area

Go Surface to Volume Ratio of Elongated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/(3*sqrt(Total Surface Area of Elongated Dodecahedron/(2*sqrt(3)*(3+sqrt(5)))))

Surface to Volume Ratio of Elongated Dodecahedron given Volume

Go Surface to Volume Ratio of Elongated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/(3*(Volume of Elongated Dodecahedron/6)^(1/3))

Surface to Volume Ratio of Elongated Dodecahedron

Go Surface to Volume Ratio of Elongated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/(3*Edge Length of Elongated Dodecahedron)

Surface to Volume Ratio of Elongated Dodecahedron given Width

Go Surface to Volume Ratio of Elongated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/Width of Elongated Dodecahedron

Surface to Volume Ratio of Elongated Dodecahedron given Height

Go Surface to Volume Ratio of Elongated Dodecahedron = (3+sqrt(5))/Height of Elongated Dodecahedron

Surface to Volume Ratio of Elongated Dodecahedron given Volume Formula

Surface to Volume Ratio of Elongated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/(3*(Volume of Elongated Dodecahedron/6)^(1/3))
R_A/V = (sqrt(3)*(3+sqrt(5)))/(3*(V/6)^(1/3))

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 Surface to Volume Ratio of Elongated Dodecahedron given Volume?

Surface to Volume Ratio of Elongated Dodecahedron given Volume calculator uses Surface to Volume Ratio of Elongated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/(3*(Volume of Elongated Dodecahedron/6)^(1/3)) to calculate the Surface to Volume Ratio of Elongated Dodecahedron, Surface to Volume Ratio of Elongated Dodecahedron given Volume formula is defined as the numerical ratio of the total surface area of a Elongated Dodecahedron to the volume of the Elongated Dodecahedron, calculated using volume. Surface to Volume Ratio of Elongated Dodecahedron is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Elongated Dodecahedron given Volume using this online calculator? To use this online calculator for Surface to Volume Ratio of Elongated Dodecahedron given Volume, enter Volume of Elongated Dodecahedron (V) and hit the calculate button. Here is how the Surface to Volume Ratio of Elongated Dodecahedron given Volume calculation can be explained with given input values -> 0.302305 = (sqrt(3)*(3+sqrt(5)))/(3*(6000/6)^(1/3)).

FAQ

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

Surface to Volume Ratio of Elongated Dodecahedron given Volume formula is defined as the numerical ratio of the total surface area of a Elongated Dodecahedron to the volume of the Elongated Dodecahedron, calculated using volume and is represented as R_A/V = (sqrt(3)*(3+sqrt(5)))/(3*(V/6)^(1/3)) or Surface to Volume Ratio of Elongated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/(3*(Volume of Elongated Dodecahedron/6)^(1/3)). Volume of Elongated Dodecahedron is the total quantity of three dimensional space enclosed by the surface of the Elongated Dodecahedron.

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

Surface to Volume Ratio of Elongated Dodecahedron given Volume formula is defined as the numerical ratio of the total surface area of a Elongated Dodecahedron to the volume of the Elongated Dodecahedron, calculated using volume is calculated using Surface to Volume Ratio of Elongated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/(3*(Volume of Elongated Dodecahedron/6)^(1/3)). To calculate Surface to Volume Ratio of Elongated Dodecahedron given Volume, you need Volume of Elongated Dodecahedron (V). With our tool, you need to enter the respective value for Volume 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 Surface to Volume Ratio of Elongated Dodecahedron?

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

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

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