Edge Length of Rhombic Dodecahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Edge Length of Rhombic Dodecahedron = sqrt((Total Surface Area of Rhombic Dodecahedron)/(8*sqrt(2)))
le = sqrt((TSA)/(8*sqrt(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
Edge Length of Rhombic Dodecahedron - (Measured in Meter) - Edge Length of Rhombic Dodecahedron is the length of any of the edges of a Rhombic Dodecahedron or the distance between any pair of adjacent vertices of the Rhombic Dodecahedron.
Total Surface Area of Rhombic Dodecahedron - (Measured in Square Meter) - Total Surface Area of Rhombic Dodecahedron is the total quantity of plane enclosed on the entire surface of the Rhombic Dodecahedron.
STEP 1: Convert Input(s) to Base Unit
Total Surface Area of Rhombic Dodecahedron: 1150 Square Meter --> 1150 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
le = sqrt((TSA)/(8*sqrt(2))) --> sqrt((1150)/(8*sqrt(2)))
Evaluating ... ...
le = 10.0819938402861
STEP 3: Convert Result to Output's Unit
10.0819938402861 Meter --> No Conversion Required
FINAL ANSWER
10.0819938402861 10.08199 Meter <-- Edge Length of Rhombic Dodecahedron
(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli
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5 Edge Length of Rhombic Dodecahedron Calculators

Edge Length of Rhombic Dodecahedron given Surface to Volume Ratio
Go Edge Length of Rhombic Dodecahedron = (9*sqrt(2))/(2*sqrt(3)*Surface to Volume Ratio of Rhombic Dodecahedron)
Edge Length of Rhombic Dodecahedron given Total Surface Area
Go Edge Length of Rhombic Dodecahedron = sqrt((Total Surface Area of Rhombic Dodecahedron)/(8*sqrt(2)))
Edge Length of Rhombic Dodecahedron given Midsphere Radius
Go Edge Length of Rhombic Dodecahedron = (3*Midsphere Radius of Rhombic Dodecahedron)/(2*sqrt(2))
Edge Length of Rhombic Dodecahedron given Volume
Go Edge Length of Rhombic Dodecahedron = ((9*Volume of Rhombic Dodecahedron)/(16*sqrt(3)))^(1/3)
Edge Length of Rhombic Dodecahedron given Insphere Radius
Go Edge Length of Rhombic Dodecahedron = (3*Insphere Radius of Rhombic Dodecahedron)/(sqrt(6))

Edge Length of Rhombic Dodecahedron given Total Surface Area Formula

Edge Length of Rhombic Dodecahedron = sqrt((Total Surface Area of Rhombic Dodecahedron)/(8*sqrt(2)))
le = sqrt((TSA)/(8*sqrt(2)))

What is Rhombic Dodecahedron?

In geometry, the Rhombic Dodecahedron is a convex polyhedron with 12 congruent rhombic faces. It has 24 edges, and 14 vertices of two types. It is a Catalan solid, and the dual polyhedron of the cuboctahedron.

How to Calculate Edge Length of Rhombic Dodecahedron given Total Surface Area?

Edge Length of Rhombic Dodecahedron given Total Surface Area calculator uses Edge Length of Rhombic Dodecahedron = sqrt((Total Surface Area of Rhombic Dodecahedron)/(8*sqrt(2))) to calculate the Edge Length of Rhombic Dodecahedron, Edge Length of Rhombic Dodecahedron given Total Surface Area formula is defined as the length of any of the edges of a Rhombic Dodecahedron or the distance between any pair of adjacent vertices of the Rhombic Dodecahedron, calculated using total surface area of Rhombic Dodecahedron. Edge Length of Rhombic Dodecahedron is denoted by le symbol.

How to calculate Edge Length of Rhombic Dodecahedron given Total Surface Area using this online calculator? To use this online calculator for Edge Length of Rhombic Dodecahedron given Total Surface Area, enter Total Surface Area of Rhombic Dodecahedron (TSA) and hit the calculate button. Here is how the Edge Length of Rhombic Dodecahedron given Total Surface Area calculation can be explained with given input values -> 10.08199 = sqrt((1150)/(8*sqrt(2))).

FAQ

What is Edge Length of Rhombic Dodecahedron given Total Surface Area?
Edge Length of Rhombic Dodecahedron given Total Surface Area formula is defined as the length of any of the edges of a Rhombic Dodecahedron or the distance between any pair of adjacent vertices of the Rhombic Dodecahedron, calculated using total surface area of Rhombic Dodecahedron and is represented as le = sqrt((TSA)/(8*sqrt(2))) or Edge Length of Rhombic Dodecahedron = sqrt((Total Surface Area of Rhombic Dodecahedron)/(8*sqrt(2))). Total Surface Area of Rhombic Dodecahedron is the total quantity of plane enclosed on the entire surface of the Rhombic Dodecahedron.
How to calculate Edge Length of Rhombic Dodecahedron given Total Surface Area?
Edge Length of Rhombic Dodecahedron given Total Surface Area formula is defined as the length of any of the edges of a Rhombic Dodecahedron or the distance between any pair of adjacent vertices of the Rhombic Dodecahedron, calculated using total surface area of Rhombic Dodecahedron is calculated using Edge Length of Rhombic Dodecahedron = sqrt((Total Surface Area of Rhombic Dodecahedron)/(8*sqrt(2))). To calculate Edge Length of Rhombic Dodecahedron given Total Surface Area, you need Total Surface Area of Rhombic Dodecahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area of Rhombic 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 Edge Length of Rhombic Dodecahedron?
In this formula, Edge Length of Rhombic Dodecahedron uses Total Surface Area of Rhombic Dodecahedron. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Edge Length of Rhombic Dodecahedron = ((9*Volume of Rhombic Dodecahedron)/(16*sqrt(3)))^(1/3)
  • Edge Length of Rhombic Dodecahedron = (3*Midsphere Radius of Rhombic Dodecahedron)/(2*sqrt(2))
  • Edge Length of Rhombic Dodecahedron = (3*Insphere Radius of Rhombic Dodecahedron)/(sqrt(6))
  • Edge Length of Rhombic Dodecahedron = (9*sqrt(2))/(2*sqrt(3)*Surface to Volume Ratio of Rhombic Dodecahedron)
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