Volume of Deltoidal Icositetrahedron given Short Edge Calculator

✖Short Edge of Deltoidal Icositetrahedron is the length of shortest edge of the identical deltoidal faces of Deltoidal Icositetrahedron.ⓘ Short Edge of Deltoidal Icositetrahedron [l_e(Short)]

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✖Volume of Deltoidal Icositetrahedron is the quantity of three dimensional space enclosed by the entire surface of Deltoidal Icositetrahedron.ⓘ Volume of Deltoidal Icositetrahedron given Short Edge [V]

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Volume of Deltoidal Icositetrahedron given Short Edge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*((7*Short Edge of Deltoidal Icositetrahedron)/(4+sqrt(2)))^3
V = 2/7*sqrt(292+(206*sqrt(2)))*((7*l_e(Short))/(4+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 Deltoidal Icositetrahedron - (Measured in Cubic Meter) - Volume of Deltoidal Icositetrahedron is the quantity of three dimensional space enclosed by the entire surface of Deltoidal Icositetrahedron.
Short Edge of Deltoidal Icositetrahedron - (Measured in Meter) - Short Edge of Deltoidal Icositetrahedron is the length of shortest edge of the identical deltoidal faces of Deltoidal Icositetrahedron.

STEP 1: Convert Input(s) to Base Unit

Short Edge of Deltoidal Icositetrahedron: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 2/7*sqrt(292+(206*sqrt(2)))*((7*l_e(Short))/(4+sqrt(2)))^3 --> 2/7*sqrt(292+(206*sqrt(2)))*((7*15)/(4+sqrt(2)))^3

Evaluating ... ...

V = 50332.6869090289

STEP 3: Convert Result to Output's Unit

50332.6869090289 Cubic Meter --> No Conversion Required

FINAL ANSWER

50332.6869090289 ≈ 50332.69 Cubic Meter <-- Volume of Deltoidal Icositetrahedron

(Calculation completed in 00.009 seconds)

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Walchand College of Engineering (WCE), Sangli

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< Volume of Deltoidal Icositetrahedron Calculators

Volume of Deltoidal Icositetrahedron given NonSymmetry Diagonal

LaTeX Go Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*((2*NonSymmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(4+(2*sqrt(2)))))^3

Volume of Deltoidal Icositetrahedron given Symmetry Diagonal

LaTeX Go Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*((7*Symmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(46+(15*sqrt(2)))))^3

Volume of Deltoidal Icositetrahedron given Short Edge

LaTeX Go Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*((7*Short Edge of Deltoidal Icositetrahedron)/(4+sqrt(2)))^3

Volume of Deltoidal Icositetrahedron

LaTeX Go Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*Long Edge of Deltoidal Icositetrahedron^3

Volume of Deltoidal Icositetrahedron given Short Edge Formula

LaTeX Go

Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*((7*Short Edge of Deltoidal Icositetrahedron)/(4+sqrt(2)))^3
V = 2/7*sqrt(292+(206*sqrt(2)))*((7*l_e(Short))/(4+sqrt(2)))^3

What is Deltoidal Icositetrahedron?

A Deltoidal Icositetrahedron is a polyhedron with deltoid (kite) faces, those have three angles with 81.579° and one with 115.263°. It has eight vertices with three edges and eighteen vertices with four edges. In total, it has 24 faces, 48 edges, 26 vertices.

How to Calculate Volume of Deltoidal Icositetrahedron given Short Edge?

Volume of Deltoidal Icositetrahedron given Short Edge calculator uses Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*((7*Short Edge of Deltoidal Icositetrahedron)/(4+sqrt(2)))^3 to calculate the Volume of Deltoidal Icositetrahedron, Volume of Deltoidal Icositetrahedron given Short Edge formula is defined as the quantity of three dimensional space enclosed by the entire surface of Deltoidal Icositetrahedron, calculated using short edge of Deltoidal Icositetrahedron. Volume of Deltoidal Icositetrahedron is denoted by V symbol.

How to calculate Volume of Deltoidal Icositetrahedron given Short Edge using this online calculator? To use this online calculator for Volume of Deltoidal Icositetrahedron given Short Edge, enter Short Edge of Deltoidal Icositetrahedron (l_e(Short)) and hit the calculate button. Here is how the Volume of Deltoidal Icositetrahedron given Short Edge calculation can be explained with given input values -> 50332.69 = 2/7*sqrt(292+(206*sqrt(2)))*((7*15)/(4+sqrt(2)))^3.

FAQ

What is Volume of Deltoidal Icositetrahedron given Short Edge?

Volume of Deltoidal Icositetrahedron given Short Edge formula is defined as the quantity of three dimensional space enclosed by the entire surface of Deltoidal Icositetrahedron, calculated using short edge of Deltoidal Icositetrahedron and is represented as V = 2/7*sqrt(292+(206*sqrt(2)))*((7*l_e(Short))/(4+sqrt(2)))^3 or Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*((7*Short Edge of Deltoidal Icositetrahedron)/(4+sqrt(2)))^3. Short Edge of Deltoidal Icositetrahedron is the length of shortest edge of the identical deltoidal faces of Deltoidal Icositetrahedron.

How to calculate Volume of Deltoidal Icositetrahedron given Short Edge?

Volume of Deltoidal Icositetrahedron given Short Edge formula is defined as the quantity of three dimensional space enclosed by the entire surface of Deltoidal Icositetrahedron, calculated using short edge of Deltoidal Icositetrahedron is calculated using Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*((7*Short Edge of Deltoidal Icositetrahedron)/(4+sqrt(2)))^3. To calculate Volume of Deltoidal Icositetrahedron given Short Edge, you need Short Edge of Deltoidal Icositetrahedron (l_e(Short)). With our tool, you need to enter the respective value for Short Edge of Deltoidal Icositetrahedron 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 Deltoidal Icositetrahedron?

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

Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*Long Edge of Deltoidal Icositetrahedron^3
Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*((7*Symmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(46+(15*sqrt(2)))))^3
Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*((2*NonSymmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(4+(2*sqrt(2)))))^3

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