Volume of Small Stellated Dodecahedron given Total Surface Area Calculator

✖Total Surface Area of Small Stellated Dodecahedron is the total quantity of plane enclosed by the entire surface of the Small Stellated Dodecahedron.ⓘ Total Surface Area of Small Stellated Dodecahedron [TSA]

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✖Volume of Small Stellated Dodecahedron is the total quantity of three-dimensional space enclosed by the surface of the Small Stellated Dodecahedron.ⓘ Volume of Small Stellated Dodecahedron given Total Surface Area [V]

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Volume of Small Stellated Dodecahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Small Stellated Dodecahedron = ((5/4)*(7+3*sqrt(5)))*((Total Surface Area of Small Stellated Dodecahedron/(15*(sqrt(5+2*sqrt(5)))))^(3/2))
V = ((5/4)*(7+3*sqrt(5)))*((TSA/(15*(sqrt(5+2*sqrt(5)))))^(3/2))
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 Small Stellated Dodecahedron - (Measured in Cubic Meter) - Volume of Small Stellated Dodecahedron is the total quantity of three-dimensional space enclosed by the surface of the Small Stellated Dodecahedron.
Total Surface Area of Small Stellated Dodecahedron - (Measured in Square Meter) - Total Surface Area of Small Stellated Dodecahedron is the total quantity of plane enclosed by the entire surface of the Small Stellated Dodecahedron.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Small Stellated Dodecahedron: 4600 Square Meter --> 4600 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = ((5/4)*(7+3*sqrt(5)))*((TSA/(15*(sqrt(5+2*sqrt(5)))))^(3/2)) --> ((5/4)*(7+3*sqrt(5)))*((4600/(15*(sqrt(5+2*sqrt(5)))))^(3/2))

Evaluating ... ...

V = 17043.3313089639

STEP 3: Convert Result to Output's Unit

17043.3313089639 Cubic Meter --> No Conversion Required

FINAL ANSWER

17043.3313089639 ≈ 17043.33 Cubic Meter <-- Volume of Small Stellated Dodecahedron

(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 Small Stellated Dodecahedron Calculators

Volume of Small Stellated Dodecahedron given Circumradius

LaTeX Go Volume of Small Stellated Dodecahedron = ((5/4)*(7+3*sqrt(5)))*(((4*Circumradius of Small Stellated Dodecahedron)/(sqrt(50+22*sqrt(5))))^3)

Volume of Small Stellated Dodecahedron given Ridge Length

LaTeX Go Volume of Small Stellated Dodecahedron = ((5/4)*(7+3*sqrt(5)))*(((2*Ridge Length of Small Stellated Dodecahedron)/(1+sqrt(5)))^3)

Volume of Small Stellated Dodecahedron given Pentagram Chord

LaTeX Go Volume of Small Stellated Dodecahedron = ((5/4)*(7+3*sqrt(5)))*((Pentagram Chord of Small Stellated Dodecahedron/(2+sqrt(5)))^3)

Volume of Small Stellated Dodecahedron

LaTeX Go Volume of Small Stellated Dodecahedron = ((5/4)*(7+3*sqrt(5)))*((Edge Length of Small Stellated Dodecahedron)^3)

Volume of Small Stellated Dodecahedron given Total Surface Area Formula

LaTeX Go

What is Small Stellated Dodecahedron?

The Small Stellated Dodecahedron is a Kepler-Poinsot polyhedron, named by Arthur Cayley, and with Schläfli symbol {5⁄2,5}. It is one of four nonconvex regular polyhedra. It is composed of 12 pentagrammic faces, with five pentagrams meeting at each vertex.

How to Calculate Volume of Small Stellated Dodecahedron given Total Surface Area?

Volume of Small Stellated Dodecahedron given Total Surface Area calculator uses Volume of Small Stellated Dodecahedron = ((5/4)*(7+3*sqrt(5)))*((Total Surface Area of Small Stellated Dodecahedron/(15*(sqrt(5+2*sqrt(5)))))^(3/2)) to calculate the Volume of Small Stellated Dodecahedron, Volume of Small Stellated Dodecahedron given Total Surface Area formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Small Stellated Dodecahedron, calculated using its total surface area. Volume of Small Stellated Dodecahedron is denoted by V symbol.

How to calculate Volume of Small Stellated Dodecahedron given Total Surface Area using this online calculator? To use this online calculator for Volume of Small Stellated Dodecahedron given Total Surface Area, enter Total Surface Area of Small Stellated Dodecahedron (TSA) and hit the calculate button. Here is how the Volume of Small Stellated Dodecahedron given Total Surface Area calculation can be explained with given input values -> 17043.33 = ((5/4)*(7+3*sqrt(5)))*((4600/(15*(sqrt(5+2*sqrt(5)))))^(3/2)).

FAQ

What is Volume of Small Stellated Dodecahedron given Total Surface Area?

Volume of Small Stellated Dodecahedron given Total Surface Area formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Small Stellated Dodecahedron, calculated using its total surface area and is represented as V = ((5/4)*(7+3*sqrt(5)))*((TSA/(15*(sqrt(5+2*sqrt(5)))))^(3/2)) or Volume of Small Stellated Dodecahedron = ((5/4)*(7+3*sqrt(5)))*((Total Surface Area of Small Stellated Dodecahedron/(15*(sqrt(5+2*sqrt(5)))))^(3/2)). Total Surface Area of Small Stellated Dodecahedron is the total quantity of plane enclosed by the entire surface of the Small Stellated Dodecahedron.

How to calculate Volume of Small Stellated Dodecahedron given Total Surface Area?

Volume of Small Stellated Dodecahedron given Total Surface Area formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Small Stellated Dodecahedron, calculated using its total surface area is calculated using Volume of Small Stellated Dodecahedron = ((5/4)*(7+3*sqrt(5)))*((Total Surface Area of Small Stellated Dodecahedron/(15*(sqrt(5+2*sqrt(5)))))^(3/2)). To calculate Volume of Small Stellated Dodecahedron given Total Surface Area, you need Total Surface Area of Small Stellated Dodecahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area of Small Stellated Dodecahedron 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 Small Stellated Dodecahedron?

In this formula, Volume of Small Stellated Dodecahedron uses Total Surface Area of Small Stellated Dodecahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Volume of Small Stellated Dodecahedron = ((5/4)*(7+3*sqrt(5)))*((Edge Length of Small Stellated Dodecahedron)^3)
Volume of Small Stellated Dodecahedron = ((5/4)*(7+3*sqrt(5)))*(((2*Ridge Length of Small Stellated Dodecahedron)/(1+sqrt(5)))^3)
Volume of Small Stellated Dodecahedron = ((5/4)*(7+3*sqrt(5)))*((Pentagram Chord of Small Stellated Dodecahedron/(2+sqrt(5)))^3)

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