Width of Elongated Dodecahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Width of Elongated Dodecahedron = 3*sqrt(Total Surface Area of Elongated Dodecahedron/(2*sqrt(3)*(3+sqrt(5))))
w = 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
Width of Elongated Dodecahedron - (Measured in Meter) - Width of Elongated Dodecahedron is the horizontal distance from the left most edge to the right most edge of the regular 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
w = 3*sqrt(TSA/(2*sqrt(3)*(3+sqrt(5)))) --> 3*sqrt(1800/(2*sqrt(3)*(3+sqrt(5))))
Evaluating ... ...
w = 29.8854333520023
STEP 3: Convert Result to Output's Unit
29.8854333520023 Meter --> No Conversion Required
FINAL ANSWER
29.8854333520023 29.88543 Meter <-- Width of Elongated Dodecahedron
(Calculation completed in 00.004 seconds)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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Indian Institute of Information Technology (IIIT), Bhopal
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5 Width of Elongated Dodecahedron Calculators

Width of Elongated Dodecahedron given Total Surface Area
Go Width of Elongated Dodecahedron = 3*sqrt(Total Surface Area of Elongated Dodecahedron/(2*sqrt(3)*(3+sqrt(5))))
Width of Elongated Dodecahedron given Surface to Volume Ratio
Go Width of Elongated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/Surface to Volume Ratio of Elongated Dodecahedron
Width of Elongated Dodecahedron given Height
Go Width of Elongated Dodecahedron = sqrt(3)*Height of Elongated Dodecahedron
Width of Elongated Dodecahedron given Volume
Go Width of Elongated Dodecahedron = 3*(Volume of Elongated Dodecahedron/6)^(1/3)
Width of Elongated Dodecahedron
Go Width of Elongated Dodecahedron = 3*Edge Length of Elongated Dodecahedron

Width of Elongated Dodecahedron given Total Surface Area Formula

Width of Elongated Dodecahedron = 3*sqrt(Total Surface Area of Elongated Dodecahedron/(2*sqrt(3)*(3+sqrt(5))))
w = 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 Width of Elongated Dodecahedron given Total Surface Area?

Width of Elongated Dodecahedron given Total Surface Area calculator uses Width of Elongated Dodecahedron = 3*sqrt(Total Surface Area of Elongated Dodecahedron/(2*sqrt(3)*(3+sqrt(5)))) to calculate the Width of Elongated Dodecahedron, Width of Elongated Dodecahedron given Total Surface Area formula is defined as the horizontal distance from the left most edge to the right most edge of the regular Elongated Dodecahedron, calculated using total surface area. Width of Elongated Dodecahedron is denoted by w symbol.

How to calculate Width of Elongated Dodecahedron given Total Surface Area using this online calculator? To use this online calculator for Width of Elongated Dodecahedron given Total Surface Area, enter Total Surface Area of Elongated Dodecahedron (TSA) and hit the calculate button. Here is how the Width of Elongated Dodecahedron given Total Surface Area calculation can be explained with given input values -> 29.88543 = 3*sqrt(1800/(2*sqrt(3)*(3+sqrt(5)))).

FAQ

What is Width of Elongated Dodecahedron given Total Surface Area?
Width of Elongated Dodecahedron given Total Surface Area formula is defined as the horizontal distance from the left most edge to the right most edge of the regular Elongated Dodecahedron, calculated using total surface area and is represented as w = 3*sqrt(TSA/(2*sqrt(3)*(3+sqrt(5)))) or Width of Elongated Dodecahedron = 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 Width of Elongated Dodecahedron given Total Surface Area?
Width of Elongated Dodecahedron given Total Surface Area formula is defined as the horizontal distance from the left most edge to the right most edge of the regular Elongated Dodecahedron, calculated using total surface area is calculated using Width of Elongated Dodecahedron = 3*sqrt(Total Surface Area of Elongated Dodecahedron/(2*sqrt(3)*(3+sqrt(5)))). To calculate Width 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 Width of Elongated Dodecahedron?
In this formula, Width of Elongated Dodecahedron uses Total Surface Area of Elongated Dodecahedron. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Width of Elongated Dodecahedron = 3*Edge Length of Elongated Dodecahedron
  • Width of Elongated Dodecahedron = sqrt(3)*Height of Elongated Dodecahedron
  • Width of Elongated Dodecahedron = 3*(Volume of Elongated Dodecahedron/6)^(1/3)
  • Width of Elongated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/Surface to Volume Ratio of Elongated Dodecahedron
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