Volume of Truncated Rhombohedron given Triangular Edge Length Calculator

✖Triangular Edge Length of Truncated Rhombohedron is the length of any edge of the equilateral triangular faces of the Truncated Rhombohedron.ⓘ Triangular Edge Length of Truncated Rhombohedron [l_e(Triangle)]

+10%

-10%

✖Volume of Truncated Rhombohedron is the total quantity of three-dimensional space enclosed by the surface of the Truncated Rhombohedron.ⓘ Volume of Truncated Rhombohedron given Triangular Edge Length [V]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Volume of Truncated Rhombohedron given Triangular Edge Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Truncated Rhombohedron = ((5/3)*(sqrt(sqrt(5)-2)))*((Triangular Edge Length of Truncated Rhombohedron/(sqrt(5-(2*sqrt(5)))))^3)
V = ((5/3)*(sqrt(sqrt(5)-2)))*((l_e(Triangle)/(sqrt(5-(2*sqrt(5)))))^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

Volume of Truncated Rhombohedron - (Measured in Cubic Meter) - Volume of Truncated Rhombohedron is the total quantity of three-dimensional space enclosed by the surface of the Truncated Rhombohedron.
Triangular Edge Length of Truncated Rhombohedron - (Measured in Meter) - Triangular Edge Length of Truncated Rhombohedron is the length of any edge of the equilateral triangular faces of the Truncated Rhombohedron.

STEP 1: Convert Input(s) to Base Unit

Triangular Edge Length of Truncated Rhombohedron: 19 Meter --> 19 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = ((5/3)*(sqrt(sqrt(5)-2)))*((l_e(Triangle)/(sqrt(5-(2*sqrt(5)))))^3) --> ((5/3)*(sqrt(sqrt(5)-2)))*((19/(sqrt(5-(2*sqrt(5)))))^3)

Evaluating ... ...

V = 14482.5477799864

STEP 3: Convert Result to Output's Unit

14482.5477799864 Cubic Meter --> No Conversion Required

FINAL ANSWER

14482.5477799864 ≈ 14482.55 Cubic Meter <-- Volume of Truncated Rhombohedron

(Calculation completed in 00.020 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Truncated Rhombohedron » Volume of Truncated Rhombohedron » Volume of Truncated Rhombohedron given Triangular Edge Length

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 Truncated Rhombohedron Calculators

Volume of Truncated Rhombohedron given Circumsphere Radius

LaTeX Go Volume of Truncated Rhombohedron = ((5/3)*(sqrt(sqrt(5)-2)))*(((4*Circumsphere Radius of Truncated Rhombohedron)/(sqrt(14-(2*sqrt(5)))))^3)

Volume of Truncated Rhombohedron given Triangular Edge Length

LaTeX Go Volume of Truncated Rhombohedron = ((5/3)*(sqrt(sqrt(5)-2)))*((Triangular Edge Length of Truncated Rhombohedron/(sqrt(5-(2*sqrt(5)))))^3)

Volume of Truncated Rhombohedron

LaTeX Go Volume of Truncated Rhombohedron = ((5/3)*(sqrt(sqrt(5)-2)))*(((2*Edge Length of Truncated Rhombohedron)/(3-sqrt(5)))^3)

Volume of Truncated Rhombohedron given Rhombohedral Edge Length

LaTeX Go Volume of Truncated Rhombohedron = ((5/3)*(sqrt(sqrt(5)-2)))*(Rhombohedral Edge Length of Truncated Rhombohedron^3)

Volume of Truncated Rhombohedron given Triangular Edge Length Formula

LaTeX Go

What is Truncated Rhombohedron?

The Truncated Rhombohedron is a convex, octahedral polyhedron. It is made up of six equal, irregular, but axially symmetrical pentagons and two equilateral triangles. It has twelve corners; three faces meet at each corner (a triangle and two pentagons or three pentagons). All corner points lie on the same sphere. Opposite faces are parallel. In the stitch, the body stands on a triangular surface, the pentagons virtually form the surface. The number of edges is eighteen.

How to Calculate Volume of Truncated Rhombohedron given Triangular Edge Length?

Volume of Truncated Rhombohedron given Triangular Edge Length calculator uses Volume of Truncated Rhombohedron = ((5/3)*(sqrt(sqrt(5)-2)))*((Triangular Edge Length of Truncated Rhombohedron/(sqrt(5-(2*sqrt(5)))))^3) to calculate the Volume of Truncated Rhombohedron, Volume of Truncated Rhombohedron given Triangular Edge Length formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Truncated Rhombohedron, calculated using its triangular edge length. Volume of Truncated Rhombohedron is denoted by V symbol.

How to calculate Volume of Truncated Rhombohedron given Triangular Edge Length using this online calculator? To use this online calculator for Volume of Truncated Rhombohedron given Triangular Edge Length, enter Triangular Edge Length of Truncated Rhombohedron (l_e(Triangle)) and hit the calculate button. Here is how the Volume of Truncated Rhombohedron given Triangular Edge Length calculation can be explained with given input values -> 14482.55 = ((5/3)*(sqrt(sqrt(5)-2)))*((19/(sqrt(5-(2*sqrt(5)))))^3).

FAQ

What is Volume of Truncated Rhombohedron given Triangular Edge Length?

Volume of Truncated Rhombohedron given Triangular Edge Length formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Truncated Rhombohedron, calculated using its triangular edge length and is represented as V = ((5/3)*(sqrt(sqrt(5)-2)))*((l_e(Triangle)/(sqrt(5-(2*sqrt(5)))))^3) or Volume of Truncated Rhombohedron = ((5/3)*(sqrt(sqrt(5)-2)))*((Triangular Edge Length of Truncated Rhombohedron/(sqrt(5-(2*sqrt(5)))))^3). Triangular Edge Length of Truncated Rhombohedron is the length of any edge of the equilateral triangular faces of the Truncated Rhombohedron.

How to calculate Volume of Truncated Rhombohedron given Triangular Edge Length?

Volume of Truncated Rhombohedron given Triangular Edge Length formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Truncated Rhombohedron, calculated using its triangular edge length is calculated using Volume of Truncated Rhombohedron = ((5/3)*(sqrt(sqrt(5)-2)))*((Triangular Edge Length of Truncated Rhombohedron/(sqrt(5-(2*sqrt(5)))))^3). To calculate Volume of Truncated Rhombohedron given Triangular Edge Length, you need Triangular Edge Length of Truncated Rhombohedron (l_e(Triangle)). With our tool, you need to enter the respective value for Triangular Edge Length of Truncated Rhombohedron 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 Truncated Rhombohedron?

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

Volume of Truncated Rhombohedron = ((5/3)*(sqrt(sqrt(5)-2)))*(Rhombohedral Edge Length of Truncated Rhombohedron^3)
Volume of Truncated Rhombohedron = ((5/3)*(sqrt(sqrt(5)-2)))*(((2*Edge Length of Truncated Rhombohedron)/(3-sqrt(5)))^3)
Volume of Truncated Rhombohedron = ((5/3)*(sqrt(sqrt(5)-2)))*(((4*Circumsphere Radius of Truncated Rhombohedron)/(sqrt(14-(2*sqrt(5)))))^3)

Home

FREE PDFs

🔍 Search