Volume of Hexakis Octahedron given Medium Edge Calculator

✖Medium Edge of Hexakis Octahedron is the length of the medium edge of any of the congruent triangular faces of the Hexakis Octahedron.ⓘ Medium Edge of Hexakis Octahedron [l_e(Medium)]

+10%

-10%

✖Volume of Hexakis Octahedron is the quantity of three dimensional space enclosed by the entire surface of Hexakis Octahedron.ⓘ Volume of Hexakis Octahedron given Medium Edge [V]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Volume of Hexakis Octahedron given Medium Edge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((14*Medium Edge of Hexakis Octahedron)/(3*(1+(2*sqrt(2)))))^3)
V = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((14*l_e(Medium))/(3*(1+(2*sqrt(2)))))^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 Hexakis Octahedron - (Measured in Cubic Meter) - Volume of Hexakis Octahedron is the quantity of three dimensional space enclosed by the entire surface of Hexakis Octahedron.
Medium Edge of Hexakis Octahedron - (Measured in Meter) - Medium Edge of Hexakis Octahedron is the length of the medium edge of any of the congruent triangular faces of the Hexakis Octahedron.

STEP 1: Convert Input(s) to Base Unit

Medium Edge of Hexakis Octahedron: 16 Meter --> 16 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((14*l_e(Medium))/(3*(1+(2*sqrt(2)))))^3) --> ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((14*16)/(3*(1+(2*sqrt(2)))))^3)

Evaluating ... ...

V = 27871.9619819936

STEP 3: Convert Result to Output's Unit

27871.9619819936 Cubic Meter --> No Conversion Required

FINAL ANSWER

27871.9619819936 ≈ 27871.96 Cubic Meter <-- Volume of Hexakis Octahedron

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » CatalanSolids » Hexakis Octahedron » Volume of Hexakis Octahedron » Volume of Hexakis Octahedron given Medium Edge

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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

Verified by Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

Anamika Mittal has verified this Calculator and 300+ more calculators!

< Volume of Hexakis Octahedron Calculators

Volume of Hexakis Octahedron given Insphere Radius

LaTeX Go Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((2*Insphere Radius of Hexakis Octahedron)/(sqrt((402+(195*sqrt(2)))/194)))^3)

Volume of Hexakis Octahedron given Midsphere Radius

LaTeX Go Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((4*Midsphere Radius of Hexakis Octahedron)/(1+(2*sqrt(2))))^3)

Volume of Hexakis Octahedron given Medium Edge

LaTeX Go Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((14*Medium Edge of Hexakis Octahedron)/(3*(1+(2*sqrt(2)))))^3)

Volume of Hexakis Octahedron given Short Edge

LaTeX Go Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((14*Short Edge of Hexakis Octahedron)/(10-sqrt(2)))^3)

Volume of Hexakis Octahedron given Medium Edge Formula

LaTeX Go

What is Hexakis Octahedron?

In geometry, a Hexakis Octahedron (also called hexoctahedron, disdyakis dodecahedron, octakis cube, octakis hexahedron, kisrhombic dodecahedron), is a Catalan solid with 48 congruent triangular faces, 72 edges and 26 vertices. It is the dual of the Archimedean solid ‘truncated cuboctahedron’. As such it is face-transitive but with irregular face polygons.

How to Calculate Volume of Hexakis Octahedron given Medium Edge?

Volume of Hexakis Octahedron given Medium Edge calculator uses Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((14*Medium Edge of Hexakis Octahedron)/(3*(1+(2*sqrt(2)))))^3) to calculate the Volume of Hexakis Octahedron, Volume of Hexakis Octahedron given Medium Edge formula is defined as the quantity of three dimensional space enclosed by the entire surface of Hexakis Octahedron, calculated using medium edge of Hexakis Octahedron. Volume of Hexakis Octahedron is denoted by V symbol.

How to calculate Volume of Hexakis Octahedron given Medium Edge using this online calculator? To use this online calculator for Volume of Hexakis Octahedron given Medium Edge, enter Medium Edge of Hexakis Octahedron (l_e(Medium)) and hit the calculate button. Here is how the Volume of Hexakis Octahedron given Medium Edge calculation can be explained with given input values -> 27871.96 = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((14*16)/(3*(1+(2*sqrt(2)))))^3).

FAQ

What is Volume of Hexakis Octahedron given Medium Edge?

Volume of Hexakis Octahedron given Medium Edge formula is defined as the quantity of three dimensional space enclosed by the entire surface of Hexakis Octahedron, calculated using medium edge of Hexakis Octahedron and is represented as V = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((14*l_e(Medium))/(3*(1+(2*sqrt(2)))))^3) or Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((14*Medium Edge of Hexakis Octahedron)/(3*(1+(2*sqrt(2)))))^3). Medium Edge of Hexakis Octahedron is the length of the medium edge of any of the congruent triangular faces of the Hexakis Octahedron.

How to calculate Volume of Hexakis Octahedron given Medium Edge?

Volume of Hexakis Octahedron given Medium Edge formula is defined as the quantity of three dimensional space enclosed by the entire surface of Hexakis Octahedron, calculated using medium edge of Hexakis Octahedron is calculated using Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((14*Medium Edge of Hexakis Octahedron)/(3*(1+(2*sqrt(2)))))^3). To calculate Volume of Hexakis Octahedron given Medium Edge, you need Medium Edge of Hexakis Octahedron (l_e(Medium)). With our tool, you need to enter the respective value for Medium Edge of Hexakis Octahedron 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 Hexakis Octahedron?

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

Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((2*Insphere Radius of Hexakis Octahedron)/(sqrt((402+(195*sqrt(2)))/194)))^3)
Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((4*Midsphere Radius of Hexakis Octahedron)/(1+(2*sqrt(2))))^3)
Volume of Hexakis Octahedron = ((sqrt(6*(986+(607*sqrt(2)))))/28)*(((14*Short Edge of Hexakis Octahedron)/(10-sqrt(2)))^3)

Home

FREE PDFs

🔍 Search