Surface to Volume Ratio of Elongated Dodecahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Surface to Volume Ratio of Elongated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/(3*sqrt(Total Surface Area of Elongated Dodecahedron/(2*sqrt(3)*(3+sqrt(5)))))
RA/V = (sqrt(3)*(3+sqrt(5)))/(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
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.
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
RA/V = (sqrt(3)*(3+sqrt(5)))/(3*sqrt(TSA/(2*sqrt(3)*(3+sqrt(5))))) --> (sqrt(3)*(3+sqrt(5)))/(3*sqrt(1800/(2*sqrt(3)*(3+sqrt(5)))))
Evaluating ... ...
RA/V = 0.303463418518789
STEP 3: Convert Result to Output's Unit
0.303463418518789 1 per Meter --> No Conversion Required
FINAL ANSWER
0.303463418518789 0.303463 1 per Meter <-- Surface to Volume Ratio of Elongated Dodecahedron
(Calculation completed in 00.004 seconds)

Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
Shweta Patil has created this Calculator and 2500+ more calculators!
Verified by Mona Gladys
St Joseph's College (SJC), Bengaluru
Mona Gladys has verified this Calculator and 1800+ more calculators!

5 Surface to Volume Ratio of Elongated Dodecahedron Calculators

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

Surface to Volume Ratio of Elongated Dodecahedron given Total Surface Area Formula

Surface to Volume Ratio of Elongated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/(3*sqrt(Total Surface Area of Elongated Dodecahedron/(2*sqrt(3)*(3+sqrt(5)))))
RA/V = (sqrt(3)*(3+sqrt(5)))/(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 Surface to Volume Ratio of Elongated Dodecahedron given Total Surface Area?

Surface to Volume Ratio of Elongated Dodecahedron given Total Surface Area calculator uses Surface to Volume Ratio of Elongated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/(3*sqrt(Total Surface Area of Elongated Dodecahedron/(2*sqrt(3)*(3+sqrt(5))))) to calculate the Surface to Volume Ratio of Elongated Dodecahedron, Surface to Volume Ratio of Elongated Dodecahedron given Total Surface Area formula is defined as the numerical ratio of the total surface area of a Elongated Dodecahedron to the volume of the Elongated Dodecahedron, calculated using total surface area. Surface to Volume Ratio of Elongated Dodecahedron is denoted by RA/V symbol.

How to calculate Surface to Volume Ratio of Elongated Dodecahedron given Total Surface Area using this online calculator? To use this online calculator for Surface to Volume Ratio of Elongated Dodecahedron given Total Surface Area, enter Total Surface Area of Elongated Dodecahedron (TSA) and hit the calculate button. Here is how the Surface to Volume Ratio of Elongated Dodecahedron given Total Surface Area calculation can be explained with given input values -> 0.303463 = (sqrt(3)*(3+sqrt(5)))/(3*sqrt(1800/(2*sqrt(3)*(3+sqrt(5))))).

FAQ

What is Surface to Volume Ratio of Elongated Dodecahedron given Total Surface Area?
Surface to Volume Ratio of Elongated Dodecahedron given Total Surface Area formula is defined as the numerical ratio of the total surface area of a Elongated Dodecahedron to the volume of the Elongated Dodecahedron, calculated using total surface area and is represented as RA/V = (sqrt(3)*(3+sqrt(5)))/(3*sqrt(TSA/(2*sqrt(3)*(3+sqrt(5))))) or Surface to Volume Ratio of Elongated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/(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 Surface to Volume Ratio of Elongated Dodecahedron given Total Surface Area?
Surface to Volume Ratio of Elongated Dodecahedron given Total Surface Area formula is defined as the numerical ratio of the total surface area of a Elongated Dodecahedron to the volume of the Elongated Dodecahedron, calculated using total surface area is calculated using Surface to Volume Ratio of Elongated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/(3*sqrt(Total Surface Area of Elongated Dodecahedron/(2*sqrt(3)*(3+sqrt(5))))). To calculate Surface to Volume Ratio 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 Surface to Volume Ratio of Elongated Dodecahedron?
In this formula, Surface to Volume Ratio 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 -
  • Surface to Volume Ratio of Elongated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/(3*(Volume of Elongated Dodecahedron/6)^(1/3))
  • Surface to Volume Ratio of Elongated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/(3*Edge Length of Elongated Dodecahedron)
  • Surface to Volume Ratio of Elongated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/Width of Elongated Dodecahedron
  • Surface to Volume Ratio of Elongated Dodecahedron = (3+sqrt(5))/Height of Elongated Dodecahedron
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!