Total Surface Area of Rhombic Dodecahedron given Surface to Volume Ratio Calculator

✖Surface to Volume Ratio of Rhombic Dodecahedron is the numerical ratio of the total surface area of the Rhombic Dodecahedron to the volume of the Rhombic Dodecahedron.ⓘ Surface to Volume Ratio of Rhombic Dodecahedron [R_A/V]

+10%

-10%

✖Total Surface Area of Rhombic Dodecahedron is the total quantity of plane enclosed on the entire surface of the Rhombic Dodecahedron.ⓘ Total Surface Area of Rhombic Dodecahedron given Surface to Volume Ratio [TSA]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

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

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Rhombic Dodecahedron = (108*sqrt(2))/Surface to Volume Ratio of Rhombic Dodecahedron^2
TSA = (108*sqrt(2))/R_A/V^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

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.
Surface to Volume Ratio of Rhombic Dodecahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Rhombic Dodecahedron is the numerical ratio of the total surface area of the Rhombic Dodecahedron to the volume of the Rhombic Dodecahedron.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Rhombic Dodecahedron: 0.4 1 per Meter --> 0.4 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = (108*sqrt(2))/R_A/V^2 --> (108*sqrt(2))/0.4^2

Evaluating ... ...

TSA = 954.594154601839

STEP 3: Convert Result to Output's Unit

954.594154601839 Square Meter --> No Conversion Required

FINAL ANSWER

954.594154601839 ≈ 954.5942 Square Meter <-- Total Surface Area of Rhombic Dodecahedron

(Calculation completed in 00.007 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » CatalanSolids » Rhombic Dodecahedron » Surface Area of Rhombic Dodecahedron » Total Surface Area of Rhombic Dodecahedron given Surface to Volume Ratio

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!

< Surface Area of Rhombic Dodecahedron Calculators

Total Surface Area of Rhombic Dodecahedron given Volume

LaTeX 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

LaTeX 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

LaTeX Go Total Surface Area of Rhombic Dodecahedron = 9*sqrt(2)*Midsphere Radius of Rhombic Dodecahedron^2

Total Surface Area of Rhombic Dodecahedron

LaTeX Go Total Surface Area of Rhombic Dodecahedron = 8*sqrt(2)*Edge Length of Rhombic Dodecahedron^2

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

LaTeX Go

Total Surface Area of Rhombic Dodecahedron = (108*sqrt(2))/Surface to Volume Ratio of Rhombic Dodecahedron^2
TSA = (108*sqrt(2))/R_A/V^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 Total Surface Area of Rhombic Dodecahedron given Surface to Volume Ratio?

Total Surface Area of Rhombic Dodecahedron given Surface to Volume Ratio calculator uses Total Surface Area of Rhombic Dodecahedron = (108*sqrt(2))/Surface to Volume Ratio of Rhombic Dodecahedron^2 to calculate the Total Surface Area of Rhombic Dodecahedron, Total Surface Area of Rhombic Dodecahedron given Surface to Volume Ratio formula is defined as the total quantity of plane enclosed on the entire surface of the Rhombic Dodecahedron, calculated using surface to volume ratio of Rhombic Dodecahedron. Total Surface Area of Rhombic Dodecahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Rhombic Dodecahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Total Surface Area of Rhombic Dodecahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Rhombic Dodecahedron (R_A/V) and hit the calculate button. Here is how the Total Surface Area of Rhombic Dodecahedron given Surface to Volume Ratio calculation can be explained with given input values -> 954.5942 = (108*sqrt(2))/0.4^2.

FAQ

What is Total Surface Area of Rhombic Dodecahedron given Surface to Volume Ratio?

Total Surface Area of Rhombic Dodecahedron given Surface to Volume Ratio formula is defined as the total quantity of plane enclosed on the entire surface of the Rhombic Dodecahedron, calculated using surface to volume ratio of Rhombic Dodecahedron and is represented as TSA = (108*sqrt(2))/R_A/V^2 or Total Surface Area of Rhombic Dodecahedron = (108*sqrt(2))/Surface to Volume Ratio of Rhombic Dodecahedron^2. Surface to Volume Ratio of Rhombic Dodecahedron is the numerical ratio of the total surface area of the Rhombic Dodecahedron to the volume of the Rhombic Dodecahedron.

How to calculate Total Surface Area of Rhombic Dodecahedron given Surface to Volume Ratio?

Total Surface Area of Rhombic Dodecahedron given Surface to Volume Ratio formula is defined as the total quantity of plane enclosed on the entire surface of the Rhombic Dodecahedron, calculated using surface to volume ratio of Rhombic Dodecahedron is calculated using Total Surface Area of Rhombic Dodecahedron = (108*sqrt(2))/Surface to Volume Ratio of Rhombic Dodecahedron^2. To calculate Total Surface Area of Rhombic Dodecahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Rhombic Dodecahedron (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio 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 Surface to Volume Ratio of Rhombic Dodecahedron. We can use 3 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 = 8*sqrt(2)*((9*Volume of Rhombic Dodecahedron)/(16*sqrt(3)))^(2/3)

Home

FREE PDFs

🔍 Search