Long Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary
Formula Used
Long Edge of Deltoidal Hexecontahedron = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(SA:V of Deltoidal Hexecontahedron*sqrt((370+(164*sqrt(5)))/25))
le(Long) = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(AV*sqrt((370+(164*sqrt(5)))/25))
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
Long Edge of Deltoidal Hexecontahedron - (Measured in Meter) - Long Edge of Deltoidal Hexecontahedron is the length of longest edge of the identical deltoidal faces of Deltoidal Hexecontahedron.
SA:V of Deltoidal Hexecontahedron - (Measured in 1 per Meter) - SA:V of Deltoidal Hexecontahedron is what part of or fraction of total volume of Deltoidal Hexecontahedron is the total surface area.
STEP 1: Convert Input(s) to Base Unit
SA:V of Deltoidal Hexecontahedron: 0.2 1 per Meter --> 0.2 1 per Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
le(Long) = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(AV*sqrt((370+(164*sqrt(5)))/25)) --> (9/45*sqrt(10*(157+(31*sqrt(5)))))/(0.2*sqrt((370+(164*sqrt(5)))/25))
Evaluating ... ...
le(Long) = 8.76354569725121
STEP 3: Convert Result to Output's Unit
8.76354569725121 Meter --> No Conversion Required
FINAL ANSWER
8.76354569725121 8.763546 Meter <-- Long Edge of Deltoidal Hexecontahedron
(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!

8 Long Edge of Deltoidal Hexecontahedron Calculators

Long Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio
Go Long Edge of Deltoidal Hexecontahedron = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(SA:V of Deltoidal Hexecontahedron*sqrt((370+(164*sqrt(5)))/25))
Long Edge of Deltoidal Hexecontahedron given Total Surface Area
Go Long Edge of Deltoidal Hexecontahedron = sqrt((11*Total Surface Area of Deltoidal Hexecontahedron)/(9*sqrt(10*(157+(31*sqrt(5))))))
Long Edge of Deltoidal Hexecontahedron given NonSymmetry Diagonal
Go Long Edge of Deltoidal Hexecontahedron = (11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)/(sqrt((470+(156*sqrt(5)))/5))
Long Edge of Deltoidal Hexecontahedron given Volume
Go Long Edge of Deltoidal Hexecontahedron = ((11*Volume of Deltoidal Hexecontahedron)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3)
Long Edge of Deltoidal Hexecontahedron given Insphere Radius
Go Long Edge of Deltoidal Hexecontahedron = (2*Insphere Radius of Deltoidal Hexecontahedron)/(3*sqrt((135+(59*sqrt(5)))/205))
Long Edge of Deltoidal Hexecontahedron given Symmetry Diagonal
Go Long Edge of Deltoidal Hexecontahedron = Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20))
Long Edge of Deltoidal Hexecontahedron given Midsphere Radius
Go Long Edge of Deltoidal Hexecontahedron = (20*Midsphere Radius of Deltoidal Hexecontahedron)/(3*(5+(3*sqrt(5))))
Long Edge of Deltoidal Hexecontahedron given Short Edge
Go Long Edge of Deltoidal Hexecontahedron = (22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5)))

Long Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio Formula

Long Edge of Deltoidal Hexecontahedron = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(SA:V of Deltoidal Hexecontahedron*sqrt((370+(164*sqrt(5)))/25))
le(Long) = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(AV*sqrt((370+(164*sqrt(5)))/25))

What is Deltoidal Hexecontahedron?

A Deltoidal Hexecontahedron is a polyhedron with deltoid (kite) faces, those have two angles with 86.97°, one angle with 118.3° and one with 67.8°. It has twenty vertices with three edges, thirty vertices with four edges and twelve vertices with five edges. In total, it has 60 faces, 120 edges, 62 vertices.

How to Calculate Long Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio?

Long Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio calculator uses Long Edge of Deltoidal Hexecontahedron = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(SA:V of Deltoidal Hexecontahedron*sqrt((370+(164*sqrt(5)))/25)) to calculate the Long Edge of Deltoidal Hexecontahedron, Long Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio formula is defined as the length of the longest edge of the identical deltoidal faces of Deltoidal Hexecontahedron, calculated using surface to volume ratio of Deltoidal Hexecontahedron. Long Edge of Deltoidal Hexecontahedron is denoted by le(Long) symbol.

How to calculate Long Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Long Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio, enter SA:V of Deltoidal Hexecontahedron (AV) and hit the calculate button. Here is how the Long Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio calculation can be explained with given input values -> 8.763546 = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(0.2*sqrt((370+(164*sqrt(5)))/25)).

FAQ

What is Long Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio?
Long Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio formula is defined as the length of the longest edge of the identical deltoidal faces of Deltoidal Hexecontahedron, calculated using surface to volume ratio of Deltoidal Hexecontahedron and is represented as le(Long) = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(AV*sqrt((370+(164*sqrt(5)))/25)) or Long Edge of Deltoidal Hexecontahedron = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(SA:V of Deltoidal Hexecontahedron*sqrt((370+(164*sqrt(5)))/25)). SA:V of Deltoidal Hexecontahedron is what part of or fraction of total volume of Deltoidal Hexecontahedron is the total surface area.
How to calculate Long Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio?
Long Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio formula is defined as the length of the longest edge of the identical deltoidal faces of Deltoidal Hexecontahedron, calculated using surface to volume ratio of Deltoidal Hexecontahedron is calculated using Long Edge of Deltoidal Hexecontahedron = (9/45*sqrt(10*(157+(31*sqrt(5)))))/(SA:V of Deltoidal Hexecontahedron*sqrt((370+(164*sqrt(5)))/25)). To calculate Long Edge of Deltoidal Hexecontahedron given Surface to Volume Ratio, you need SA:V of Deltoidal Hexecontahedron (AV). With our tool, you need to enter the respective value for SA:V of Deltoidal Hexecontahedron 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 Long Edge of Deltoidal Hexecontahedron?
In this formula, Long Edge of Deltoidal Hexecontahedron uses SA:V of Deltoidal Hexecontahedron. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • Long Edge of Deltoidal Hexecontahedron = (22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5)))
  • Long Edge of Deltoidal Hexecontahedron = Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20))
  • Long Edge of Deltoidal Hexecontahedron = (11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)/(sqrt((470+(156*sqrt(5)))/5))
  • Long Edge of Deltoidal Hexecontahedron = sqrt((11*Total Surface Area of Deltoidal Hexecontahedron)/(9*sqrt(10*(157+(31*sqrt(5))))))
  • Long Edge of Deltoidal Hexecontahedron = ((11*Volume of Deltoidal Hexecontahedron)/(45*sqrt((370+(164*sqrt(5)))/25)))^(1/3)
  • Long Edge of Deltoidal Hexecontahedron = (20*Midsphere Radius of Deltoidal Hexecontahedron)/(3*(5+(3*sqrt(5))))
  • Long Edge of Deltoidal Hexecontahedron = (2*Insphere Radius of Deltoidal Hexecontahedron)/(3*sqrt((135+(59*sqrt(5)))/205))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!