Volume of Rhombic Triacontahedron given Total Surface Area Calculator

✖Total Surface Area of Rhombic Triacontahedron is the total quantity of plane enclosed on the entire surface of the Rhombic Triacontahedron.ⓘ Total Surface Area of Rhombic Triacontahedron [TSA]

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✖Volume of Rhombic Triacontahedron is the quantity of three dimensional space enclosed by the entire surface of Rhombic Triacontahedron.ⓘ Volume of Rhombic Triacontahedron given Total Surface Area [V]

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Volume of Rhombic Triacontahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Rhombic Triacontahedron = 4*(Total Surface Area of Rhombic Triacontahedron/(12*sqrt(5)))^(3/2)*sqrt(5+(2*sqrt(5)))
V = 4*(TSA/(12*sqrt(5)))^(3/2)*sqrt(5+(2*sqrt(5)))
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 Rhombic Triacontahedron - (Measured in Cubic Meter) - Volume of Rhombic Triacontahedron is the quantity of three dimensional space enclosed by the entire surface of Rhombic Triacontahedron.
Total Surface Area of Rhombic Triacontahedron - (Measured in Square Meter) - Total Surface Area of Rhombic Triacontahedron is the total quantity of plane enclosed on the entire surface of the Rhombic Triacontahedron.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Rhombic Triacontahedron: 2700 Square Meter --> 2700 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 4*(TSA/(12*sqrt(5)))^(3/2)*sqrt(5+(2*sqrt(5))) --> 4*(2700/(12*sqrt(5)))^(3/2)*sqrt(5+(2*sqrt(5)))

Evaluating ... ...

V = 12425.967881009

STEP 3: Convert Result to Output's Unit

12425.967881009 Cubic Meter --> No Conversion Required

FINAL ANSWER

12425.967881009 ≈ 12425.97 Cubic Meter <-- Volume of Rhombic Triacontahedron

(Calculation completed in 00.004 seconds)

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< Volume of Rhombic Triacontahedron Calculators

Volume of Rhombic Triacontahedron given Insphere Radius

LaTeX Go Volume of Rhombic Triacontahedron = 4*(Insphere Radius of Rhombic Triacontahedron/sqrt((5+(2*sqrt(5)))/5))^3*sqrt(5+(2*sqrt(5)))

Volume of Rhombic Triacontahedron given Total Surface Area

LaTeX Go Volume of Rhombic Triacontahedron = 4*(Total Surface Area of Rhombic Triacontahedron/(12*sqrt(5)))^(3/2)*sqrt(5+(2*sqrt(5)))

Volume of Rhombic Triacontahedron given Midsphere Radius

LaTeX Go Volume of Rhombic Triacontahedron = 4*((5*Midsphere Radius of Rhombic Triacontahedron)/(5+sqrt(5)))^3*sqrt(5+(2*sqrt(5)))

Volume of Rhombic Triacontahedron

LaTeX Go Volume of Rhombic Triacontahedron = 4*Edge Length of Rhombic Triacontahedron^3*sqrt(5+(2*sqrt(5)))

Volume of Rhombic Triacontahedron given Total Surface Area Formula

LaTeX Go

Volume of Rhombic Triacontahedron = 4*(Total Surface Area of Rhombic Triacontahedron/(12*sqrt(5)))^(3/2)*sqrt(5+(2*sqrt(5)))
V = 4*(TSA/(12*sqrt(5)))^(3/2)*sqrt(5+(2*sqrt(5)))

What is Rhombic Triacontahedron?

In geometry, the Rhombic Triacontahedron, sometimes simply called the triacontahedron as it is the most common thirty-faced polyhedron, is a convex polyhedron with 30 rhombic faces. It has 60 edges and 32 vertices of two types. It is a Catalan solid, and the dual polyhedron of the icosidodecahedron.

How to Calculate Volume of Rhombic Triacontahedron given Total Surface Area?

Volume of Rhombic Triacontahedron given Total Surface Area calculator uses Volume of Rhombic Triacontahedron = 4*(Total Surface Area of Rhombic Triacontahedron/(12*sqrt(5)))^(3/2)*sqrt(5+(2*sqrt(5))) to calculate the Volume of Rhombic Triacontahedron, Volume of Rhombic Triacontahedron given Total Surface Area formula is defined as the quantity of three dimensional space enclosed by the entire surface of Rhombic Triacontahedron, calculated using total surface area of Rhombic Triacontahedron. Volume of Rhombic Triacontahedron is denoted by V symbol.

How to calculate Volume of Rhombic Triacontahedron given Total Surface Area using this online calculator? To use this online calculator for Volume of Rhombic Triacontahedron given Total Surface Area, enter Total Surface Area of Rhombic Triacontahedron (TSA) and hit the calculate button. Here is how the Volume of Rhombic Triacontahedron given Total Surface Area calculation can be explained with given input values -> 12425.97 = 4*(2700/(12*sqrt(5)))^(3/2)*sqrt(5+(2*sqrt(5))).

FAQ

What is Volume of Rhombic Triacontahedron given Total Surface Area?

Volume of Rhombic Triacontahedron given Total Surface Area formula is defined as the quantity of three dimensional space enclosed by the entire surface of Rhombic Triacontahedron, calculated using total surface area of Rhombic Triacontahedron and is represented as V = 4*(TSA/(12*sqrt(5)))^(3/2)*sqrt(5+(2*sqrt(5))) or Volume of Rhombic Triacontahedron = 4*(Total Surface Area of Rhombic Triacontahedron/(12*sqrt(5)))^(3/2)*sqrt(5+(2*sqrt(5))). Total Surface Area of Rhombic Triacontahedron is the total quantity of plane enclosed on the entire surface of the Rhombic Triacontahedron.

How to calculate Volume of Rhombic Triacontahedron given Total Surface Area?

Volume of Rhombic Triacontahedron given Total Surface Area formula is defined as the quantity of three dimensional space enclosed by the entire surface of Rhombic Triacontahedron, calculated using total surface area of Rhombic Triacontahedron is calculated using Volume of Rhombic Triacontahedron = 4*(Total Surface Area of Rhombic Triacontahedron/(12*sqrt(5)))^(3/2)*sqrt(5+(2*sqrt(5))). To calculate Volume of Rhombic Triacontahedron given Total Surface Area, you need Total Surface Area of Rhombic Triacontahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area of Rhombic Triacontahedron 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 Rhombic Triacontahedron?

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

Volume of Rhombic Triacontahedron = 4*Edge Length of Rhombic Triacontahedron^3*sqrt(5+(2*sqrt(5)))
Volume of Rhombic Triacontahedron = 4*((5*Midsphere Radius of Rhombic Triacontahedron)/(5+sqrt(5)))^3*sqrt(5+(2*sqrt(5)))
Volume of Rhombic Triacontahedron = 4*(Insphere Radius of Rhombic Triacontahedron/sqrt((5+(2*sqrt(5)))/5))^3*sqrt(5+(2*sqrt(5)))

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