Height of Elongated Dodecahedron given Total Surface Area Calculator

✖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 [TSA]

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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 Total Surface Area [h]

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Height of Elongated Dodecahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Elongated Dodecahedron: 1800 Square Meter --> 1800 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = sqrt(3)*sqrt(TSA/(2*sqrt(3)*(3+sqrt(5)))) --> sqrt(3)*sqrt(1800/(2*sqrt(3)*(3+sqrt(5))))

Evaluating ... ...

h = 17.2543629906271

STEP 3: Convert Result to Output's Unit

17.2543629906271 Meter --> No Conversion Required

FINAL ANSWER

17.2543629906271 ≈ 17.25436 Meter <-- Height of Elongated Dodecahedron

(Calculation completed in 00.020 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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< 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 Total Surface Area Formula

LaTeX Go

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

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 Total Surface Area?

Height of Elongated Dodecahedron given Total Surface Area calculator uses Height of Elongated Dodecahedron = sqrt(3)*sqrt(Total Surface Area of Elongated Dodecahedron/(2*sqrt(3)*(3+sqrt(5)))) to calculate the Height of Elongated Dodecahedron, Height of Elongated Dodecahedron given Total Surface Area formula is defined as the vertical distance from the highest point to the lowest point of the Elongated Dodecahedron, calculated using total surface area. Height of Elongated Dodecahedron is denoted by h symbol.

How to calculate Height of Elongated Dodecahedron given Total Surface Area using this online calculator? To use this online calculator for Height of Elongated Dodecahedron given Total Surface Area, enter Total Surface Area of Elongated Dodecahedron (TSA) and hit the calculate button. Here is how the Height of Elongated Dodecahedron given Total Surface Area calculation can be explained with given input values -> 17.25436 = sqrt(3)*sqrt(1800/(2*sqrt(3)*(3+sqrt(5)))).

FAQ

What is Height of Elongated Dodecahedron given Total Surface Area?

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

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

Height of Elongated Dodecahedron given Total Surface Area formula is defined as the vertical distance from the highest point to the lowest point of the Elongated Dodecahedron, calculated using total surface area is calculated using Height of Elongated Dodecahedron = sqrt(3)*sqrt(Total Surface Area of Elongated Dodecahedron/(2*sqrt(3)*(3+sqrt(5)))). To calculate Height of Elongated Dodecahedron given Total Surface Area, you need Total Surface Area of Elongated Dodecahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area 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 Total Surface Area 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 = Width of Elongated Dodecahedron/sqrt(3)
Height of Elongated Dodecahedron = sqrt(3)*(Volume of Elongated Dodecahedron/6)^(1/3)

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