Volume of Pentagonal Hexecontahedron Calculator

✖Short Edge of Pentagonal Hexecontahedron is the length of the shortest edge which is the base and middle edge of the axial-symmetric pentagonal faces of the Pentagonal Hexecontahedron.ⓘ Short Edge of Pentagonal Hexecontahedron [l_e(Short)]

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

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Volume of Pentagonal Hexecontahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Pentagonal Hexecontahedron = 5*Short Edge of Pentagonal Hexecontahedron^3*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756))
V = 5*l_e(Short)^3*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756))
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 Pentagonal Hexecontahedron - (Measured in Cubic Meter) - Volume of Pentagonal Hexecontahedron is the quantity of three dimensional space enclosed by the entire surface of Pentagonal Hexecontahedron.
Short Edge of Pentagonal Hexecontahedron - (Measured in Meter) - Short Edge of Pentagonal Hexecontahedron is the length of the shortest edge which is the base and middle edge of the axial-symmetric pentagonal faces of the Pentagonal Hexecontahedron.

STEP 1: Convert Input(s) to Base Unit

Short Edge of Pentagonal Hexecontahedron: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 5*l_e(Short)^3*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756)) --> 5*4^3*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756))

Evaluating ... ...

V = 12146.5424201553

STEP 3: Convert Result to Output's Unit

12146.5424201553 Cubic Meter --> No Conversion Required

FINAL ANSWER

12146.5424201553 ≈ 12146.54 Cubic Meter <-- Volume of Pentagonal Hexecontahedron

(Calculation completed in 00.020 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Indian Institute of Information Technology (IIIT), Bhopal

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< Volume of Pentagonal Hexecontahedron Calculators

Volume of Pentagonal Hexecontahedron given Long Edge

LaTeX Go Volume of Pentagonal Hexecontahedron = 5*((31*Long Edge of Pentagonal Hexecontahedron)/(((7*[phi]+2)+(5*[phi]-3)+2*(8-3*[phi]))*sqrt(2+2*(0.4715756))))^3*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756))

Volume of Pentagonal Hexecontahedron given Total Surface Area

LaTeX Go Volume of Pentagonal Hexecontahedron = 5*((Total Surface Area of Pentagonal Hexecontahedron*(1-2*0.4715756^2))/(30*(2+3*0.4715756)*sqrt(1-0.4715756^2)))^(3/2)*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756))

Volume of Pentagonal Hexecontahedron given Snub Dodecahedron Edge

LaTeX Go Volume of Pentagonal Hexecontahedron = 5*(Snub Dodecahedron Edge Pentagonal Hexecontahedron/sqrt(2+2*(0.4715756)))^3*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756))

Volume of Pentagonal Hexecontahedron

LaTeX Go Volume of Pentagonal Hexecontahedron = 5*Short Edge of Pentagonal Hexecontahedron^3*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756))

Volume of Pentagonal Hexecontahedron Formula

LaTeX Go

What is Pentagonal Hexecontahedron?

In geometry, a Pentagonal Hexecontahedron is a Catalan solid, dual of the snub dodecahedron. It has two distinct forms, which are mirror images (or "enantiomorphs") of each other. It has 60 faces, 150 edges, 92 vertices. It is the Catalan solid with the most vertices. Among the Catalan and Archimedean solids, it has the second largest number of vertices, after the truncated icosidodecahedron, which has 120 vertices.

How to Calculate Volume of Pentagonal Hexecontahedron?

Volume of Pentagonal Hexecontahedron calculator uses Volume of Pentagonal Hexecontahedron = 5*Short Edge of Pentagonal Hexecontahedron^3*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756)) to calculate the Volume of Pentagonal Hexecontahedron, Volume of Pentagonal Hexecontahedron formula is defined as the quantity of three dimensional space enclosed by the entire surface of Pentagonal Hexecontahedron. Volume of Pentagonal Hexecontahedron is denoted by V symbol.

How to calculate Volume of Pentagonal Hexecontahedron using this online calculator? To use this online calculator for Volume of Pentagonal Hexecontahedron, enter Short Edge of Pentagonal Hexecontahedron (l_e(Short)) and hit the calculate button. Here is how the Volume of Pentagonal Hexecontahedron calculation can be explained with given input values -> 12146.54 = 5*4^3*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756)).

FAQ

What is Volume of Pentagonal Hexecontahedron?

Volume of Pentagonal Hexecontahedron formula is defined as the quantity of three dimensional space enclosed by the entire surface of Pentagonal Hexecontahedron and is represented as V = 5*l_e(Short)^3*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756)) or Volume of Pentagonal Hexecontahedron = 5*Short Edge of Pentagonal Hexecontahedron^3*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756)). Short Edge of Pentagonal Hexecontahedron is the length of the shortest edge which is the base and middle edge of the axial-symmetric pentagonal faces of the Pentagonal Hexecontahedron.

How to calculate Volume of Pentagonal Hexecontahedron?

Volume of Pentagonal Hexecontahedron formula is defined as the quantity of three dimensional space enclosed by the entire surface of Pentagonal Hexecontahedron is calculated using Volume of Pentagonal Hexecontahedron = 5*Short Edge of Pentagonal Hexecontahedron^3*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756)). To calculate Volume of Pentagonal Hexecontahedron, you need Short Edge of Pentagonal Hexecontahedron (l_e(Short)). With our tool, you need to enter the respective value for Short Edge of Pentagonal Hexecontahedron 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 Pentagonal Hexecontahedron?

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

Volume of Pentagonal Hexecontahedron = 5*((31*Long Edge of Pentagonal Hexecontahedron)/(((7*[phi]+2)+(5*[phi]-3)+2*(8-3*[phi]))*sqrt(2+2*(0.4715756))))^3*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756))
Volume of Pentagonal Hexecontahedron = 5*(Snub Dodecahedron Edge Pentagonal Hexecontahedron/sqrt(2+2*(0.4715756)))^3*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756))
Volume of Pentagonal Hexecontahedron = 5*((Total Surface Area of Pentagonal Hexecontahedron*(1-2*0.4715756^2))/(30*(2+3*0.4715756)*sqrt(1-0.4715756^2)))^(3/2)*((1+0.4715756)*(2+3*0.4715756))/((1-2*0.4715756^2)*sqrt(1-2*0.4715756))

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