Volume of Rhombic Triacontahedron Calculator

✖Edge Length of Rhombic Triacontahedron is the length of any of the edges of a Rhombic Triacontahedron or the distance between any pair of adjacent vertices of the Rhombic Triacontahedron.ⓘ Edge Length of Rhombic Triacontahedron [l_e]

+10%

-10%

✖Volume of Rhombic Triacontahedron is the quantity of three dimensional space enclosed by the entire surface of Rhombic Triacontahedron.ⓘ Volume of Rhombic Triacontahedron [V]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Volume of Rhombic Triacontahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Rhombic Triacontahedron = 4*Edge Length of Rhombic Triacontahedron^3*sqrt(5+(2*sqrt(5)))
V = 4*l_e^3*sqrt(5+(2*sqrt(5)))
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 Triacontahedron - (Measured in Cubic Meter) - Volume of Rhombic Triacontahedron is the quantity of three dimensional space enclosed by the entire surface of Rhombic Triacontahedron.
Edge Length of Rhombic Triacontahedron - (Measured in Meter) - Edge Length of Rhombic Triacontahedron is the length of any of the edges of a Rhombic Triacontahedron or the distance between any pair of adjacent vertices of the Rhombic Triacontahedron.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Rhombic Triacontahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 4*l_e^3*sqrt(5+(2*sqrt(5))) --> 4*10^3*sqrt(5+(2*sqrt(5)))

Evaluating ... ...

V = 12310.734148701

STEP 3: Convert Result to Output's Unit

12310.734148701 Cubic Meter --> No Conversion Required

FINAL ANSWER

12310.734148701 ≈ 12310.73 Cubic Meter <-- Volume of Rhombic Triacontahedron

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » CatalanSolids » Rhombic Triacontahedron » Volume of Rhombic Triacontahedron » Volume of Rhombic Triacontahedron

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

Nishan Poojary has verified this Calculator and 400+ more calculators!

< Volume of Rhombic Triacontahedron Calculators

Volume of Rhombic Triacontahedron given Insphere Radius

LaTeX Go Volume of Rhombic Triacontahedron = 4*(Insphere Radius of Rhombic Triacontahedron/sqrt((5+(2*sqrt(5)))/5))^3*sqrt(5+(2*sqrt(5)))

Volume of Rhombic Triacontahedron given Total Surface Area

LaTeX Go Volume of Rhombic Triacontahedron = 4*(Total Surface Area of Rhombic Triacontahedron/(12*sqrt(5)))^(3/2)*sqrt(5+(2*sqrt(5)))

Volume of Rhombic Triacontahedron given Midsphere Radius

LaTeX Go Volume of Rhombic Triacontahedron = 4*((5*Midsphere Radius of Rhombic Triacontahedron)/(5+sqrt(5)))^3*sqrt(5+(2*sqrt(5)))

Volume of Rhombic Triacontahedron

LaTeX Go Volume of Rhombic Triacontahedron = 4*Edge Length of Rhombic Triacontahedron^3*sqrt(5+(2*sqrt(5)))

Volume of Rhombic Triacontahedron Formula

LaTeX Go

Volume of Rhombic Triacontahedron = 4*Edge Length of Rhombic Triacontahedron^3*sqrt(5+(2*sqrt(5)))
V = 4*l_e^3*sqrt(5+(2*sqrt(5)))

What is Rhombic Triacontahedron?

In geometry, the Rhombic Triacontahedron, sometimes simply called the triacontahedron as it is the most common thirty-faced polyhedron, is a convex polyhedron with 30 rhombic faces. It has 60 edges and 32 vertices of two types. It is a Catalan solid, and the dual polyhedron of the icosidodecahedron.

How to Calculate Volume of Rhombic Triacontahedron?

Volume of Rhombic Triacontahedron calculator uses Volume of Rhombic Triacontahedron = 4*Edge Length of Rhombic Triacontahedron^3*sqrt(5+(2*sqrt(5))) to calculate the Volume of Rhombic Triacontahedron, Volume of Rhombic Triacontahedron formula is defined as the quantity of three dimensional space enclosed by the entire surface of Rhombic Triacontahedron. Volume of Rhombic Triacontahedron is denoted by V symbol.

How to calculate Volume of Rhombic Triacontahedron using this online calculator? To use this online calculator for Volume of Rhombic Triacontahedron, enter Edge Length of Rhombic Triacontahedron (l_e) and hit the calculate button. Here is how the Volume of Rhombic Triacontahedron calculation can be explained with given input values -> 12310.73 = 4*10^3*sqrt(5+(2*sqrt(5))).

FAQ

What is Volume of Rhombic Triacontahedron?

Volume of Rhombic Triacontahedron formula is defined as the quantity of three dimensional space enclosed by the entire surface of Rhombic Triacontahedron and is represented as V = 4*l_e^3*sqrt(5+(2*sqrt(5))) or Volume of Rhombic Triacontahedron = 4*Edge Length of Rhombic Triacontahedron^3*sqrt(5+(2*sqrt(5))). Edge Length of Rhombic Triacontahedron is the length of any of the edges of a Rhombic Triacontahedron or the distance between any pair of adjacent vertices of the Rhombic Triacontahedron.

How to calculate Volume of Rhombic Triacontahedron?

Volume of Rhombic Triacontahedron formula is defined as the quantity of three dimensional space enclosed by the entire surface of Rhombic Triacontahedron is calculated using Volume of Rhombic Triacontahedron = 4*Edge Length of Rhombic Triacontahedron^3*sqrt(5+(2*sqrt(5))). To calculate Volume of Rhombic Triacontahedron, you need Edge Length of Rhombic Triacontahedron (l_e). With our tool, you need to enter the respective value for Edge Length of Rhombic Triacontahedron 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 Triacontahedron?

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

Volume of Rhombic Triacontahedron = 4*(Total Surface Area of Rhombic Triacontahedron/(12*sqrt(5)))^(3/2)*sqrt(5+(2*sqrt(5)))
Volume of Rhombic Triacontahedron = 4*((5*Midsphere Radius of Rhombic Triacontahedron)/(5+sqrt(5)))^3*sqrt(5+(2*sqrt(5)))
Volume of Rhombic Triacontahedron = 4*(Insphere Radius of Rhombic Triacontahedron/sqrt((5+(2*sqrt(5)))/5))^3*sqrt(5+(2*sqrt(5)))

Home

FREE PDFs

🔍 Search