Height 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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✖Height of Elongated Dodecahedron is the vertical distance from the highest point to the lowest point of the Elongated Dodecahedron.ⓘ Height of Elongated Dodecahedron given Surface to Volume Ratio [h]

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Height of Elongated Dodecahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Height of Elongated Dodecahedron - (Measured in Meter) - Height of Elongated Dodecahedron is the vertical distance from the highest point to the lowest point 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

h = (3+sqrt(5))/R_A/V --> (3+sqrt(5))/0.3

Evaluating ... ...

h = 17.4535599249993

STEP 3: Convert Result to Output's Unit

17.4535599249993 Meter --> No Conversion Required

FINAL ANSWER

17.4535599249993 ≈ 17.45356 Meter <-- Height of Elongated Dodecahedron

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

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St Joseph's College (SJC), Bengaluru

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< Height of Elongated Dodecahedron Calculators

Height of Elongated Dodecahedron given Total Surface Area

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

Height of Elongated Dodecahedron given Volume

LaTeX Go Height of Elongated Dodecahedron = sqrt(3)*(Volume of Elongated Dodecahedron/6)^(1/3)

Height of Elongated Dodecahedron

LaTeX Go Height of Elongated Dodecahedron = sqrt(3)*Edge Length of Elongated Dodecahedron

Height of Elongated Dodecahedron given Width

LaTeX Go Height of Elongated Dodecahedron = Width of Elongated Dodecahedron/sqrt(3)

Height of Elongated Dodecahedron given Surface to Volume Ratio Formula

LaTeX Go

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

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 Height of Elongated Dodecahedron given Surface to Volume Ratio?

Height of Elongated Dodecahedron given Surface to Volume Ratio calculator uses Height of Elongated Dodecahedron = (3+sqrt(5))/Surface to Volume Ratio of Elongated Dodecahedron to calculate the Height of Elongated Dodecahedron, Height of Elongated Dodecahedron given Surface to Volume Ratio formula is defined as the vertical distance from the highest point to the lowest point of the Elongated Dodecahedron, calculated using surface to volume ratio. Height of Elongated Dodecahedron is denoted by h symbol.

How to calculate Height of Elongated Dodecahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Height 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 Height of Elongated Dodecahedron given Surface to Volume Ratio calculation can be explained with given input values -> 17.45356 = (3+sqrt(5))/0.3.

FAQ

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

Height of Elongated Dodecahedron given Surface to Volume Ratio formula is defined as the vertical distance from the highest point to the lowest point of the Elongated Dodecahedron, calculated using surface to volume ratio and is represented as h = (3+sqrt(5))/R_A/V or Height of Elongated Dodecahedron = (3+sqrt(5))/Surface to Volume Ratio of Elongated Dodecahedron. 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 Height of Elongated Dodecahedron given Surface to Volume Ratio?

Height of Elongated Dodecahedron given Surface to Volume Ratio formula is defined as the vertical distance from the highest point to the lowest point of the Elongated Dodecahedron, calculated using surface to volume ratio is calculated using Height of Elongated Dodecahedron = (3+sqrt(5))/Surface to Volume Ratio of Elongated Dodecahedron. To calculate Height 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 Height of Elongated Dodecahedron?

In this formula, Height 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 -

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

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