Total Surface Area of Rhombic Dodecahedron given Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Surface Area of Rhombic Dodecahedron = 8*sqrt(2)*((9*Volume of Rhombic Dodecahedron)/(16*sqrt(3)))^(2/3)
TSA = 8*sqrt(2)*((9*V)/(16*sqrt(3)))^(2/3)
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
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.
Volume of Rhombic Dodecahedron - (Measured in Cubic Meter) - Volume of Rhombic Dodecahedron is defined as the quantity of three dimensional space enclosed by the entire surface of Rhombic Dodecahedron.
STEP 1: Convert Input(s) to Base Unit
Volume of Rhombic Dodecahedron: 3100 Cubic Meter --> 3100 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
TSA = 8*sqrt(2)*((9*V)/(16*sqrt(3)))^(2/3) --> 8*sqrt(2)*((9*3100)/(16*sqrt(3)))^(2/3)
Evaluating ... ...
TSA = 1136.459718787
STEP 3: Convert Result to Output's Unit
1136.459718787 Square Meter --> No Conversion Required
FINAL ANSWER
1136.459718787 1136.46 Square Meter <-- Total Surface Area of Rhombic Dodecahedron
(Calculation completed in 00.004 seconds)

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Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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Vellore Institute of Technology (VIT), Bhopal
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5 Surface Area of Rhombic Dodecahedron Calculators

Total Surface Area of Rhombic Dodecahedron given Volume
Go Total Surface Area of Rhombic Dodecahedron = 8*sqrt(2)*((9*Volume of Rhombic Dodecahedron)/(16*sqrt(3)))^(2/3)
Total Surface Area of Rhombic Dodecahedron given Surface to Volume Ratio
Go Total Surface Area of Rhombic Dodecahedron = (108*sqrt(2))/Surface to Volume Ratio of Rhombic Dodecahedron^2
Total Surface Area of Rhombic Dodecahedron given Midsphere Radius
Go Total Surface Area of Rhombic Dodecahedron = 9*sqrt(2)*Midsphere Radius of Rhombic Dodecahedron^2
Total Surface Area of Rhombic Dodecahedron given Insphere Radius
Go Total Surface Area of Rhombic Dodecahedron = 12*sqrt(2)*Insphere Radius of Rhombic Dodecahedron^2
Total Surface Area of Rhombic Dodecahedron
Go Total Surface Area of Rhombic Dodecahedron = 8*sqrt(2)*Edge Length of Rhombic Dodecahedron^2

Total Surface Area of Rhombic Dodecahedron given Volume Formula

Total Surface Area of Rhombic Dodecahedron = 8*sqrt(2)*((9*Volume of Rhombic Dodecahedron)/(16*sqrt(3)))^(2/3)
TSA = 8*sqrt(2)*((9*V)/(16*sqrt(3)))^(2/3)

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 Total Surface Area of Rhombic Dodecahedron given Volume?

Total Surface Area of Rhombic Dodecahedron given Volume calculator uses Total Surface Area of Rhombic Dodecahedron = 8*sqrt(2)*((9*Volume of Rhombic Dodecahedron)/(16*sqrt(3)))^(2/3) to calculate the Total Surface Area of Rhombic Dodecahedron, Total Surface Area of Rhombic Dodecahedron given Volume formula is defined as the total quantity of plane enclosed on the entire surface of the Rhombic Dodecahedron, calculated using volume of Rhombic Dodecahedron. Total Surface Area of Rhombic Dodecahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Rhombic Dodecahedron given Volume using this online calculator? To use this online calculator for Total Surface Area of Rhombic Dodecahedron given Volume, enter Volume of Rhombic Dodecahedron (V) and hit the calculate button. Here is how the Total Surface Area of Rhombic Dodecahedron given Volume calculation can be explained with given input values -> 1136.46 = 8*sqrt(2)*((9*3100)/(16*sqrt(3)))^(2/3).

FAQ

What is Total Surface Area of Rhombic Dodecahedron given Volume?
Total Surface Area of Rhombic Dodecahedron given Volume formula is defined as the total quantity of plane enclosed on the entire surface of the Rhombic Dodecahedron, calculated using volume of Rhombic Dodecahedron and is represented as TSA = 8*sqrt(2)*((9*V)/(16*sqrt(3)))^(2/3) or Total Surface Area of Rhombic Dodecahedron = 8*sqrt(2)*((9*Volume of Rhombic Dodecahedron)/(16*sqrt(3)))^(2/3). Volume of Rhombic Dodecahedron is defined as the quantity of three dimensional space enclosed by the entire surface of Rhombic Dodecahedron.
How to calculate Total Surface Area of Rhombic Dodecahedron given Volume?
Total Surface Area of Rhombic Dodecahedron given Volume formula is defined as the total quantity of plane enclosed on the entire surface of the Rhombic Dodecahedron, calculated using volume of Rhombic Dodecahedron is calculated using Total Surface Area of Rhombic Dodecahedron = 8*sqrt(2)*((9*Volume of Rhombic Dodecahedron)/(16*sqrt(3)))^(2/3). To calculate Total Surface Area of Rhombic Dodecahedron given Volume, you need Volume of Rhombic Dodecahedron (V). With our tool, you need to enter the respective value for Volume 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 Total Surface Area of Rhombic Dodecahedron?
In this formula, Total Surface Area of Rhombic Dodecahedron uses Volume of Rhombic Dodecahedron. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Total Surface Area of Rhombic Dodecahedron = 8*sqrt(2)*Edge Length of Rhombic Dodecahedron^2
  • Total Surface Area of Rhombic Dodecahedron = 9*sqrt(2)*Midsphere Radius of Rhombic Dodecahedron^2
  • Total Surface Area of Rhombic Dodecahedron = (108*sqrt(2))/Surface to Volume Ratio of Rhombic Dodecahedron^2
  • Total Surface Area of Rhombic Dodecahedron = 12*sqrt(2)*Insphere Radius of Rhombic Dodecahedron^2
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