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

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Volume of Rhombicuboctahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*(sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3)))))^3
V = 2/3*(6+(5*sqrt(2)))*(sqrt((TSA)/(2*(9+sqrt(3)))))^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 Rhombicuboctahedron - (Measured in Cubic Meter) - Volume of Rhombicuboctahedron is the total quantity of three dimensional space enclosed by the surface 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

V = 2/3*(6+(5*sqrt(2)))*(sqrt((TSA)/(2*(9+sqrt(3)))))^3 --> 2/3*(6+(5*sqrt(2)))*(sqrt((2100)/(2*(9+sqrt(3)))))^3

Evaluating ... ...

V = 8432.95294947723

STEP 3: Convert Result to Output's Unit

8432.95294947723 Cubic Meter --> No Conversion Required

FINAL ANSWER

8432.95294947723 ≈ 8432.953 Cubic Meter <-- Volume of Rhombicuboctahedron

(Calculation completed in 00.004 seconds)

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< Volume of Rhombicuboctahedron Calculators

Volume of Rhombicuboctahedron given Circumsphere Radius

LaTeX Go Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*((2*Circumsphere Radius of Rhombicuboctahedron)/(sqrt(5+(2*sqrt(2)))))^3

Volume of Rhombicuboctahedron given Total Surface Area

LaTeX Go Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*(sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3)))))^3

Volume of Rhombicuboctahedron given Midsphere Radius

LaTeX Go Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*((2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(2*sqrt(2)))))^3

Volume of Rhombicuboctahedron

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

Volume of Rhombicuboctahedron given Total Surface Area Formula

LaTeX Go

Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*(sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3)))))^3
V = 2/3*(6+(5*sqrt(2)))*(sqrt((TSA)/(2*(9+sqrt(3)))))^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 Volume of Rhombicuboctahedron given Total Surface Area?

Volume of Rhombicuboctahedron given Total Surface Area calculator uses Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*(sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3)))))^3 to calculate the Volume of Rhombicuboctahedron, Volume of Rhombicuboctahedron given Total Surface Area formula is defined as the total quantity of three dimensional space enclosed by the surface of the Rhombicuboctahedron, and calculated using the total surface area of the Rhombicuboctahedron. Volume of Rhombicuboctahedron is denoted by V symbol.

How to calculate Volume of Rhombicuboctahedron given Total Surface Area using this online calculator? To use this online calculator for Volume of Rhombicuboctahedron given Total Surface Area, enter Total Surface Area of Rhombicuboctahedron (TSA) and hit the calculate button. Here is how the Volume of Rhombicuboctahedron given Total Surface Area calculation can be explained with given input values -> 8432.953 = 2/3*(6+(5*sqrt(2)))*(sqrt((2100)/(2*(9+sqrt(3)))))^3.

FAQ

What is Volume of Rhombicuboctahedron given Total Surface Area?

Volume of Rhombicuboctahedron given Total Surface Area formula is defined as the total quantity of three dimensional space enclosed by the surface of the Rhombicuboctahedron, and calculated using the total surface area of the Rhombicuboctahedron and is represented as V = 2/3*(6+(5*sqrt(2)))*(sqrt((TSA)/(2*(9+sqrt(3)))))^3 or Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*(sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3)))))^3. Total Surface Area of Rhombicuboctahedron is the total quantity of plane enclosed by the entire surface of the Rhombicuboctahedron.

How to calculate Volume of Rhombicuboctahedron given Total Surface Area?

Volume of Rhombicuboctahedron given Total Surface Area formula is defined as the total quantity of three dimensional space enclosed by the surface of the Rhombicuboctahedron, and calculated using the total surface area of the Rhombicuboctahedron is calculated using Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*(sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3)))))^3. To calculate Volume 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 Volume of Rhombicuboctahedron?

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

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

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