Total Surface Area of Elongated Dodecahedron given Height Calculator

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

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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 Height [TSA]

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Total Surface Area of Elongated Dodecahedron given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Elongated Dodecahedron = 2*sqrt(3)*(3+sqrt(5))*(Height of Elongated Dodecahedron/sqrt(3))^2
TSA = 2*sqrt(3)*(3+sqrt(5))*(h/sqrt(3))^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.
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.

STEP 1: Convert Input(s) to Base Unit

Height of Elongated Dodecahedron: 17 Meter --> 17 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = 2*sqrt(3)*(3+sqrt(5))*(h/sqrt(3))^2 --> 2*sqrt(3)*(3+sqrt(5))*(17/sqrt(3))^2

Evaluating ... ...

TSA = 1747.32015814411

STEP 3: Convert Result to Output's Unit

1747.32015814411 Square Meter --> No Conversion Required

FINAL ANSWER

1747.32015814411 ≈ 1747.32 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 Height Formula

LaTeX Go

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

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 Height?

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

How to calculate Total Surface Area of Elongated Dodecahedron given Height using this online calculator? To use this online calculator for Total Surface Area of Elongated Dodecahedron given Height, enter Height of Elongated Dodecahedron (h) and hit the calculate button. Here is how the Total Surface Area of Elongated Dodecahedron given Height calculation can be explained with given input values -> 1747.32 = 2*sqrt(3)*(3+sqrt(5))*(17/sqrt(3))^2.

FAQ

What is Total Surface Area of Elongated Dodecahedron given Height?

Total Surface Area of Elongated Dodecahedron given Height formula is defined as the total quantity of plane enclosed on the entire surface of the Elongated Dodecahedron, calculated using height and is represented as TSA = 2*sqrt(3)*(3+sqrt(5))*(h/sqrt(3))^2 or Total Surface Area of Elongated Dodecahedron = 2*sqrt(3)*(3+sqrt(5))*(Height of Elongated Dodecahedron/sqrt(3))^2. Height of Elongated Dodecahedron is the vertical distance from the highest point to the lowest point of the Elongated Dodecahedron.

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

Total Surface Area of Elongated Dodecahedron given Height formula is defined as the total quantity of plane enclosed on the entire surface of the Elongated Dodecahedron, calculated using height is calculated using Total Surface Area of Elongated Dodecahedron = 2*sqrt(3)*(3+sqrt(5))*(Height of Elongated Dodecahedron/sqrt(3))^2. To calculate Total Surface Area of Elongated Dodecahedron given Height, you need Height of Elongated Dodecahedron (h). With our tool, you need to enter the respective value for Height 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 Height 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))*(Volume of Elongated Dodecahedron/6)^(2/3)

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