Total Surface Area of Icosidodecahedron Calculator

✖Edge Length of Icosidodecahedron is the length of any edge of the Icosidodecahedron.ⓘ Edge Length of Icosidodecahedron [l_e]

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

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Total Surface Area of Icosidodecahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Icosidodecahedron = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*Edge Length of Icosidodecahedron^2
TSA = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*l_e^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

Total Surface Area of Icosidodecahedron - (Measured in Square Meter) - Total Surface Area of Icosidodecahedron is the total quantity of plane enclosed by the entire surface of the Icosidodecahedron.
Edge Length of Icosidodecahedron - (Measured in Meter) - Edge Length of Icosidodecahedron is the length of any edge of the Icosidodecahedron.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Icosidodecahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*l_e^2 --> ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*10^2

Evaluating ... ...

TSA = 2930.5982844912

STEP 3: Convert Result to Output's Unit

2930.5982844912 Square Meter --> No Conversion Required

FINAL ANSWER

2930.5982844912 ≈ 2930.598 Square Meter <-- Total Surface Area of Icosidodecahedron

(Calculation completed in 00.004 seconds)

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< Total Surface Area of Icosidodecahedron Calculators

Total Surface Area of Icosidodecahedron given Midsphere Radius

LaTeX Go Total Surface Area of Icosidodecahedron = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*((2*Midsphere Radius of Icosidodecahedron)/(sqrt(5+(2*sqrt(5)))))^2

Total Surface Area of Icosidodecahedron given Circumsphere Radius

LaTeX Go Total Surface Area of Icosidodecahedron = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*((2*Circumsphere Radius of Icosidodecahedron)/(1+sqrt(5)))^2

Total Surface Area of Icosidodecahedron given Volume

LaTeX Go Total Surface Area of Icosidodecahedron = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*((6*Volume of Icosidodecahedron)/(45+(17*sqrt(5))))^(2/3)

Total Surface Area of Icosidodecahedron

LaTeX Go Total Surface Area of Icosidodecahedron = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*Edge Length of Icosidodecahedron^2

Total Surface Area of Icosidodecahedron Formula

LaTeX Go

Total Surface Area of Icosidodecahedron = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*Edge Length of Icosidodecahedron^2
TSA = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*l_e^2

What is an Icosidodecahedron?

In geometry, an Icosidodecahedron is a closed and convex polyhedron with 20 (icosi) triangular faces and 12 (dodeca) pentagonal faces. An Icosidodecahedron has 30 identical vertices, with 2 triangles and 2 pentagons meeting at each. And 60 identical edges, each separating a triangle from a pentagon. As such it is one of the Archimedean solids and more particularly, a quasiregular polyhedron.

How to Calculate Total Surface Area of Icosidodecahedron?

Total Surface Area of Icosidodecahedron calculator uses Total Surface Area of Icosidodecahedron = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*Edge Length of Icosidodecahedron^2 to calculate the Total Surface Area of Icosidodecahedron, Total Surface Area of Icosidodecahedron formula is defined as the total quantity of plane enclosed by the entire surface of the Icosidodecahedron. Total Surface Area of Icosidodecahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Icosidodecahedron using this online calculator? To use this online calculator for Total Surface Area of Icosidodecahedron, enter Edge Length of Icosidodecahedron (l_e) and hit the calculate button. Here is how the Total Surface Area of Icosidodecahedron calculation can be explained with given input values -> 2930.598 = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*10^2.

FAQ

What is Total Surface Area of Icosidodecahedron?

Total Surface Area of Icosidodecahedron formula is defined as the total quantity of plane enclosed by the entire surface of the Icosidodecahedron and is represented as TSA = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*l_e^2 or Total Surface Area of Icosidodecahedron = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*Edge Length of Icosidodecahedron^2. Edge Length of Icosidodecahedron is the length of any edge of the Icosidodecahedron.

How to calculate Total Surface Area of Icosidodecahedron?

Total Surface Area of Icosidodecahedron formula is defined as the total quantity of plane enclosed by the entire surface of the Icosidodecahedron is calculated using Total Surface Area of Icosidodecahedron = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*Edge Length of Icosidodecahedron^2. To calculate Total Surface Area of Icosidodecahedron, you need Edge Length of Icosidodecahedron (l_e). With our tool, you need to enter the respective value for Edge Length of Icosidodecahedron 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 Total Surface Area of Icosidodecahedron?

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

Total Surface Area of Icosidodecahedron = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*((6*Volume of Icosidodecahedron)/(45+(17*sqrt(5))))^(2/3)
Total Surface Area of Icosidodecahedron = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*((2*Circumsphere Radius of Icosidodecahedron)/(1+sqrt(5)))^2
Total Surface Area of Icosidodecahedron = ((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5)))))*((2*Midsphere Radius of Icosidodecahedron)/(sqrt(5+(2*sqrt(5)))))^2

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