Edge Length of Rhombicuboctahedron given Total Surface Area Calculator

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

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✖Edge Length of Rhombicuboctahedron is the length of any edge of the Rhombicuboctahedron.ⓘ Edge Length of Rhombicuboctahedron given Total Surface Area [l_e]

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Edge Length of Rhombicuboctahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Rhombicuboctahedron = sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3))))
l_e = sqrt((TSA)/(2*(9+sqrt(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

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

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Rhombicuboctahedron: 2100 Square Meter --> 2100 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = sqrt((TSA)/(2*(9+sqrt(3)))) --> sqrt((2100)/(2*(9+sqrt(3))))

Evaluating ... ...

l_e = 9.89129807408608

STEP 3: Convert Result to Output's Unit

9.89129807408608 Meter --> No Conversion Required

FINAL ANSWER

9.89129807408608 ≈ 9.891298 Meter <-- Edge Length of Rhombicuboctahedron

(Calculation completed in 00.006 seconds)

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< Edge Length of Rhombicuboctahedron Calculators

Edge Length of Rhombicuboctahedron given Circumsphere Radius

LaTeX Go Edge Length of Rhombicuboctahedron = (2*Circumsphere Radius of Rhombicuboctahedron)/(sqrt(5+(2*sqrt(2))))

Edge Length of Rhombicuboctahedron given Total Surface Area

LaTeX Go Edge Length of Rhombicuboctahedron = sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3))))

Edge Length of Rhombicuboctahedron given Midsphere Radius

LaTeX Go Edge Length of Rhombicuboctahedron = (2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(2*sqrt(2))))

Edge Length of Rhombicuboctahedron given Volume

LaTeX Go Edge Length of Rhombicuboctahedron = ((3*Volume of Rhombicuboctahedron)/(2*(6+(5*sqrt(2)))))^(1/3)

Edge Length of Rhombicuboctahedron given Total Surface Area Formula

LaTeX Go

Edge Length of Rhombicuboctahedron = sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3))))
l_e = sqrt((TSA)/(2*(9+sqrt(3))))

What is a Rhombicuboctahedron?

In geometry, the Rhombicuboctahedron, or small Rhombicuboctahedron, is an Archimedean solid with 8 triangular and 18 square faces. There are 24 identical vertices, with one triangle and three squares meeting at each one. The polyhedron has octahedral symmetry, like the cube and octahedron. Its dual is called the deltoidal icositetrahedron or trapezoidal icositetrahedron, although its faces are not really true trapezoids.

How to Calculate Edge Length of Rhombicuboctahedron given Total Surface Area?

Edge Length of Rhombicuboctahedron given Total Surface Area calculator uses Edge Length of Rhombicuboctahedron = sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3)))) to calculate the Edge Length of Rhombicuboctahedron, Edge Length of Rhombicuboctahedron given Total Surface Area formula is defined as the length of any edge of the Rhombicuboctahedron, and calculated using the total surface area of the Rhombicuboctahedron. Edge Length of Rhombicuboctahedron is denoted by l_e symbol.

How to calculate Edge Length of Rhombicuboctahedron given Total Surface Area using this online calculator? To use this online calculator for Edge Length of Rhombicuboctahedron given Total Surface Area, enter Total Surface Area of Rhombicuboctahedron (TSA) and hit the calculate button. Here is how the Edge Length of Rhombicuboctahedron given Total Surface Area calculation can be explained with given input values -> 9.891298 = sqrt((2100)/(2*(9+sqrt(3)))).

FAQ

What is Edge Length of Rhombicuboctahedron given Total Surface Area?

Edge Length of Rhombicuboctahedron given Total Surface Area formula is defined as the length of any edge of the Rhombicuboctahedron, and calculated using the total surface area of the Rhombicuboctahedron and is represented as l_e = sqrt((TSA)/(2*(9+sqrt(3)))) or Edge Length of Rhombicuboctahedron = sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3)))). Total Surface Area of Rhombicuboctahedron is the total quantity of plane enclosed by the entire surface of the Rhombicuboctahedron.

How to calculate Edge Length of Rhombicuboctahedron given Total Surface Area?

Edge Length of Rhombicuboctahedron given Total Surface Area formula is defined as the length of any edge of the Rhombicuboctahedron, and calculated using the total surface area of the Rhombicuboctahedron is calculated using Edge Length of Rhombicuboctahedron = sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3)))). To calculate Edge Length of Rhombicuboctahedron given Total Surface Area, you need Total Surface Area of Rhombicuboctahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area of Rhombicuboctahedron 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 Edge Length of Rhombicuboctahedron?

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

Edge Length of Rhombicuboctahedron = ((3*Volume of Rhombicuboctahedron)/(2*(6+(5*sqrt(2)))))^(1/3)
Edge Length of Rhombicuboctahedron = (2*Circumsphere Radius of Rhombicuboctahedron)/(sqrt(5+(2*sqrt(2))))
Edge Length of Rhombicuboctahedron = (2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(2*sqrt(2))))

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