Volume of Deltoidal Icositetrahedron given Total Surface Area Calculator

✖Total Surface Area of Deltoidal Icositetrahedron is the amount or quantity of two dimensional space covered on the surface of Deltoidal Icositetrahedron.ⓘ Total Surface Area of Deltoidal Icositetrahedron [TSA]

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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 Total Surface Area [V]

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Volume of Deltoidal Icositetrahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*(sqrt((7*Total Surface Area of Deltoidal Icositetrahedron)/(12*sqrt(61+(38*sqrt(2))))))^3
V = 2/7*sqrt(292+(206*sqrt(2)))*(sqrt((7*TSA)/(12*sqrt(61+(38*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.
Total Surface Area of Deltoidal Icositetrahedron - (Measured in Square Meter) - Total Surface Area of Deltoidal Icositetrahedron is the amount or quantity of two dimensional space covered on the surface of Deltoidal Icositetrahedron.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Deltoidal Icositetrahedron: 7350 Square Meter --> 7350 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 2/7*sqrt(292+(206*sqrt(2)))*(sqrt((7*TSA)/(12*sqrt(61+(38*sqrt(2))))))^3 --> 2/7*sqrt(292+(206*sqrt(2)))*(sqrt((7*7350)/(12*sqrt(61+(38*sqrt(2))))))^3

Evaluating ... ...

V = 55259.6465660302

STEP 3: Convert Result to Output's Unit

55259.6465660302 Cubic Meter --> No Conversion Required

FINAL ANSWER

55259.6465660302 ≈ 55259.65 Cubic Meter <-- Volume of Deltoidal Icositetrahedron

(Calculation completed in 00.006 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 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 Total Surface Area Formula

LaTeX Go

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 Total Surface Area?

Volume of Deltoidal Icositetrahedron given Total Surface Area calculator uses Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*(sqrt((7*Total Surface Area of Deltoidal Icositetrahedron)/(12*sqrt(61+(38*sqrt(2))))))^3 to calculate the Volume of Deltoidal Icositetrahedron, Volume of Deltoidal Icositetrahedron given Total Surface Area formula is defined as the quantity of three dimensional space enclosed by the entire surface of Deltoidal Icositetrahedron, calculated using total surface area of Deltoidal Icositetrahedron. Volume of Deltoidal Icositetrahedron is denoted by V symbol.

How to calculate Volume of Deltoidal Icositetrahedron given Total Surface Area using this online calculator? To use this online calculator for Volume of Deltoidal Icositetrahedron given Total Surface Area, enter Total Surface Area of Deltoidal Icositetrahedron (TSA) and hit the calculate button. Here is how the Volume of Deltoidal Icositetrahedron given Total Surface Area calculation can be explained with given input values -> 55259.65 = 2/7*sqrt(292+(206*sqrt(2)))*(sqrt((7*7350)/(12*sqrt(61+(38*sqrt(2))))))^3.

FAQ

What is Volume of Deltoidal Icositetrahedron given Total Surface Area?

Volume of Deltoidal Icositetrahedron given Total Surface Area formula is defined as the quantity of three dimensional space enclosed by the entire surface of Deltoidal Icositetrahedron, calculated using total surface area of Deltoidal Icositetrahedron and is represented as V = 2/7*sqrt(292+(206*sqrt(2)))*(sqrt((7*TSA)/(12*sqrt(61+(38*sqrt(2))))))^3 or Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*(sqrt((7*Total Surface Area of Deltoidal Icositetrahedron)/(12*sqrt(61+(38*sqrt(2))))))^3. Total Surface Area of Deltoidal Icositetrahedron is the amount or quantity of two dimensional space covered on the surface of Deltoidal Icositetrahedron.

How to calculate Volume of Deltoidal Icositetrahedron given Total Surface Area?

Volume of Deltoidal Icositetrahedron given Total Surface Area formula is defined as the quantity of three dimensional space enclosed by the entire surface of Deltoidal Icositetrahedron, calculated using total surface area of Deltoidal Icositetrahedron is calculated using Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*(sqrt((7*Total Surface Area of Deltoidal Icositetrahedron)/(12*sqrt(61+(38*sqrt(2))))))^3. To calculate Volume of Deltoidal Icositetrahedron given Total Surface Area, you need Total Surface Area of Deltoidal Icositetrahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area 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 Total Surface Area 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*Short Edge of Deltoidal Icositetrahedron)/(4+sqrt(2)))^3
Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*((7*Symmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(46+(15*sqrt(2)))))^3

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