Volume of Rhombic Dodecahedron given Total Surface Area Calculator

✖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 [TSA]

+10%

-10%

✖Volume of Rhombic Dodecahedron is defined as the quantity of three dimensional space enclosed by the entire surface of Rhombic Dodecahedron.ⓘ Volume of Rhombic Dodecahedron given Total Surface Area [V]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Volume of Rhombic Dodecahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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

V = (16*sqrt(3))/9*((TSA)/(8*sqrt(2)))^(3/2) --> (16*sqrt(3))/9*((1150)/(8*sqrt(2)))^(3/2)

Evaluating ... ...

V = 3155.56684148572

STEP 3: Convert Result to Output's Unit

3155.56684148572 Cubic Meter --> No Conversion Required

FINAL ANSWER

3155.56684148572 ≈ 3155.567 Cubic Meter <-- Volume of Rhombic Dodecahedron

(Calculation completed in 00.006 seconds)

You are here -

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

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!

< Volume of Rhombic Dodecahedron Calculators

Volume of Rhombic Dodecahedron given Surface to Volume Ratio

LaTeX Go Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*((9*sqrt(2))/(2*sqrt(3)*Surface to Volume Ratio of Rhombic Dodecahedron))^3

Volume of Rhombic Dodecahedron given Total Surface Area

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

Volume of Rhombic Dodecahedron given Midsphere Radius

LaTeX Go Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*((3*Midsphere Radius of Rhombic Dodecahedron)/(2*sqrt(2)))^3

Volume of Rhombic Dodecahedron

LaTeX Go Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*Edge Length of Rhombic Dodecahedron^3

Volume of Rhombic Dodecahedron given Total Surface Area Formula

LaTeX Go

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

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 Volume of Rhombic Dodecahedron given Total Surface Area?

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

How to calculate Volume of Rhombic Dodecahedron given Total Surface Area using this online calculator? To use this online calculator for Volume of Rhombic Dodecahedron given Total Surface Area, enter Total Surface Area of Rhombic Dodecahedron (TSA) and hit the calculate button. Here is how the Volume of Rhombic Dodecahedron given Total Surface Area calculation can be explained with given input values -> 3155.567 = (16*sqrt(3))/9*((1150)/(8*sqrt(2)))^(3/2).

FAQ

What is Volume of Rhombic Dodecahedron given Total Surface Area?

The Volume of Rhombic Dodecahedron given Total Surface Area formula is defined as the quantity of three dimensional space enclosed by the entire surface of Rhombic Dodecahedron, calculated using total surface area of Rhombic Dodecahedron and is represented as V = (16*sqrt(3))/9*((TSA)/(8*sqrt(2)))^(3/2) or Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*((Total Surface Area of Rhombic Dodecahedron)/(8*sqrt(2)))^(3/2). Total Surface Area of Rhombic Dodecahedron is the total quantity of plane enclosed on the entire surface of the Rhombic Dodecahedron.

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

The Volume of Rhombic Dodecahedron given Total Surface Area formula is defined as the quantity of three dimensional space enclosed by the entire surface of Rhombic Dodecahedron, calculated using total surface area of Rhombic Dodecahedron is calculated using Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*((Total Surface Area of Rhombic Dodecahedron)/(8*sqrt(2)))^(3/2). To calculate Volume 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 Volume of Rhombic Dodecahedron?

In this formula, Volume of Rhombic Dodecahedron uses Total Surface Area of Rhombic Dodecahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*Edge Length of Rhombic Dodecahedron^3
Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*((3*Midsphere Radius of Rhombic Dodecahedron)/(2*sqrt(2)))^3
Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*((9*sqrt(2))/(2*sqrt(3)*Surface to Volume Ratio of Rhombic Dodecahedron))^3

Home

FREE PDFs

🔍 Search