Total Surface Area 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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✖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 Volume [TSA]

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Total Surface Area of Elongated Dodecahedron given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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

TSA = 2*sqrt(3)*(3+sqrt(5))*(V/6)^(2/3) --> 2*sqrt(3)*(3+sqrt(5))*(6000/6)^(2/3)

Evaluating ... ...

TSA = 1813.82715378281

STEP 3: Convert Result to Output's Unit

1813.82715378281 Square Meter --> No Conversion Required

FINAL ANSWER

1813.82715378281 ≈ 1813.827 Square Meter <-- Total Surface Area of Elongated Dodecahedron

(Calculation completed in 00.004 seconds)

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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 Volume Formula

LaTeX Go

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

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 Total Surface Area of Elongated Dodecahedron given Volume?

Total Surface Area of Elongated Dodecahedron given Volume calculator uses Total Surface Area of Elongated Dodecahedron = 2*sqrt(3)*(3+sqrt(5))*(Volume of Elongated Dodecahedron/6)^(2/3) to calculate the Total Surface Area of Elongated Dodecahedron, Total Surface Area of Elongated Dodecahedron given Volume formula is defined as the total quantity of plane enclosed on the entire surface of the Elongated Dodecahedron, calculated using volume. Total Surface Area of Elongated Dodecahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Elongated Dodecahedron given Volume using this online calculator? To use this online calculator for Total Surface Area of Elongated Dodecahedron given Volume, enter Volume of Elongated Dodecahedron (V) and hit the calculate button. Here is how the Total Surface Area of Elongated Dodecahedron given Volume calculation can be explained with given input values -> 1813.827 = 2*sqrt(3)*(3+sqrt(5))*(6000/6)^(2/3).

FAQ

What is Total Surface Area of Elongated Dodecahedron given Volume?

Total Surface Area of Elongated Dodecahedron given Volume formula is defined as the total quantity of plane enclosed on the entire surface of the Elongated Dodecahedron, calculated using volume and is represented as TSA = 2*sqrt(3)*(3+sqrt(5))*(V/6)^(2/3) or Total Surface Area of Elongated Dodecahedron = 2*sqrt(3)*(3+sqrt(5))*(Volume of Elongated Dodecahedron/6)^(2/3). Volume of Elongated Dodecahedron is the total quantity of three dimensional space enclosed by the surface of the Elongated Dodecahedron.

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

Total Surface Area of Elongated Dodecahedron given Volume formula is defined as the total quantity of plane enclosed on the entire surface of the Elongated Dodecahedron, calculated using volume is calculated using Total Surface Area of Elongated Dodecahedron = 2*sqrt(3)*(3+sqrt(5))*(Volume of Elongated Dodecahedron/6)^(2/3). To calculate Total Surface Area 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 Total Surface Area of Elongated Dodecahedron?

In this formula, Total Surface Area of Elongated Dodecahedron uses Volume 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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