Volume of Elongated Dodecahedron given Total Surface Area Calculator

✖Total Surface Area of Elongated Dodecahedron is the total quantity of plane enclosed on the entire surface of the Elongated Dodecahedron.ⓘ Total Surface Area of Elongated Dodecahedron [TSA]

+10%

-10%

✖Volume of Elongated Dodecahedron is the total quantity of three dimensional space enclosed by the surface of the Elongated Dodecahedron.ⓘ Volume of Elongated Dodecahedron given Total Surface Area [V]

⎘ Copy

👎

Formula

✖

Volume of Elongated Dodecahedron given Total Surface Area

Formula

`"V" = 6*("TSA"/(2*sqrt(3)*(3+sqrt(5))))^(3/2)`

Example

`"5931.522m³"=6*("1800m²"/(2*sqrt(3)*(3+sqrt(5))))^(3/2)`

Calculator

LaTeX

Reset

👍

Download 3D Geometry Formula PDF

Volume of Elongated Dodecahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Elongated Dodecahedron = 6*(Total Surface Area of Elongated Dodecahedron/(2*sqrt(3)*(3+sqrt(5))))^(3/2)
V = 6*(TSA/(2*sqrt(3)*(3+sqrt(5))))^(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 Elongated Dodecahedron - (Measured in Cubic Meter) - Volume of Elongated Dodecahedron is the total quantity of three dimensional space enclosed by the surface of the Elongated Dodecahedron.
Total Surface Area of Elongated Dodecahedron - (Measured in Square Meter) - Total Surface Area of Elongated Dodecahedron is the total quantity of plane enclosed on the entire surface of the Elongated Dodecahedron.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Elongated Dodecahedron: 1800 Square Meter --> 1800 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 6*(TSA/(2*sqrt(3)*(3+sqrt(5))))^(3/2) --> 6*(1800/(2*sqrt(3)*(3+sqrt(5))))^(3/2)

Evaluating ... ...

V = 5931.52218737215

STEP 3: Convert Result to Output's Unit

5931.52218737215 Cubic Meter --> No Conversion Required

FINAL ANSWER

5931.52218737215 ≈ 5931.522 Cubic Meter <-- Volume of Elongated Dodecahedron

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Elongated Dodecahedron » Volume of Elongated Dodecahedron » Volume of Elongated 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!

< 5 Volume of Elongated Dodecahedron Calculators

Volume of Elongated Dodecahedron given Surface to Volume Ratio

Go Volume of Elongated Dodecahedron = 6*((sqrt(3)*(3+sqrt(5)))/(3*Surface to Volume Ratio of Elongated Dodecahedron))^3

Volume of Elongated Dodecahedron given Total Surface Area

Go Volume of Elongated Dodecahedron = 6*(Total Surface Area of Elongated Dodecahedron/(2*sqrt(3)*(3+sqrt(5))))^(3/2)

Volume of Elongated Dodecahedron given Height

Go Volume of Elongated Dodecahedron = 6*(Height of Elongated Dodecahedron/sqrt(3))^3

Volume of Elongated Dodecahedron

Go Volume of Elongated Dodecahedron = 6*Edge Length of Elongated Dodecahedron^3

Volume of Elongated Dodecahedron given Width

Go Volume of Elongated Dodecahedron = 6*(Width of Elongated Dodecahedron/3)^3

Volume of Elongated Dodecahedron given Total Surface Area Formula

Volume of Elongated Dodecahedron = 6*(Total Surface Area of Elongated Dodecahedron/(2*sqrt(3)*(3+sqrt(5))))^(3/2)
V = 6*(TSA/(2*sqrt(3)*(3+sqrt(5))))^(3/2)

What is Elongated Dodecahedron?

The Elongated Dodecahedron, extended rhombic dodecahedron, rhombo-hexagonal dodecahedron or hexarhombic dodecahedron is a convex dodecahedron with 8 rhombic and 4 hexagonal faces. The hexagons can be made equilateral, or regular depending on the shape of the rhombi.

How to Calculate Volume of Elongated Dodecahedron given Total Surface Area?

Volume of Elongated Dodecahedron given Total Surface Area calculator uses Volume of Elongated Dodecahedron = 6*(Total Surface Area of Elongated Dodecahedron/(2*sqrt(3)*(3+sqrt(5))))^(3/2) to calculate the Volume of Elongated Dodecahedron, Volume of Elongated Dodecahedron given Total Surface Area formula is defined as the total quantity of three dimensional space enclosed by the surface of the Elongated Dodecahedron, calculated using total surface area. Volume of Elongated Dodecahedron is denoted by V symbol.

How to calculate Volume of Elongated Dodecahedron given Total Surface Area using this online calculator? To use this online calculator for Volume of Elongated Dodecahedron given Total Surface Area, enter Total Surface Area of Elongated Dodecahedron (TSA) and hit the calculate button. Here is how the Volume of Elongated Dodecahedron given Total Surface Area calculation can be explained with given input values -> 5931.522 = 6*(1800/(2*sqrt(3)*(3+sqrt(5))))^(3/2).

FAQ

What is Volume of Elongated Dodecahedron given Total Surface Area?

Volume of Elongated Dodecahedron given Total Surface Area formula is defined as the total quantity of three dimensional space enclosed by the surface of the Elongated Dodecahedron, calculated using total surface area and is represented as V = 6*(TSA/(2*sqrt(3)*(3+sqrt(5))))^(3/2) or Volume of Elongated Dodecahedron = 6*(Total Surface Area of Elongated Dodecahedron/(2*sqrt(3)*(3+sqrt(5))))^(3/2). Total Surface Area of Elongated Dodecahedron is the total quantity of plane enclosed on the entire surface of the Elongated Dodecahedron.

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

Volume of Elongated Dodecahedron given Total Surface Area formula is defined as the total quantity of three dimensional space enclosed by the surface of the Elongated Dodecahedron, calculated using total surface area is calculated using Volume of Elongated Dodecahedron = 6*(Total Surface Area of Elongated Dodecahedron/(2*sqrt(3)*(3+sqrt(5))))^(3/2). To calculate Volume of Elongated Dodecahedron given Total Surface Area, you need Total Surface Area of Elongated Dodecahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area of Elongated 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 Elongated Dodecahedron?

In this formula, Volume of Elongated Dodecahedron uses Total Surface Area of Elongated Dodecahedron. We can use 4 other way(s) to calculate the same, which is/are as follows -

Volume of Elongated Dodecahedron = 6*Edge Length of Elongated Dodecahedron^3
Volume of Elongated Dodecahedron = 6*(Width of Elongated Dodecahedron/3)^3
Volume of Elongated Dodecahedron = 6*(Height of Elongated Dodecahedron/sqrt(3))^3
Volume of Elongated Dodecahedron = 6*((sqrt(3)*(3+sqrt(5)))/(3*Surface to Volume Ratio of Elongated Dodecahedron))^3

Home

FREE PDFs

🔍 Search