Volume of Disheptahedron given Midsphere Radius Calculator

✖Midsphere Radius of Disheptahedron is the radius of the sphere for which all the edges of the Disheptahedron become a tangent line to that sphere.ⓘ Midsphere Radius of Disheptahedron [r_m]

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✖Volume of Disheptahedron is the total quantity of three-dimensional space enclosed by the surface of the Disheptahedron.ⓘ Volume of Disheptahedron given Midsphere Radius [V]

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Formula

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Volume of Disheptahedron given Midsphere Radius

Formula

`"V" = 5/3*sqrt(2)*((2*"r"_{"m"})/sqrt(3))^3`

Example

`"2645.449m³"=5/3*sqrt(2)*((2*"9m")/sqrt(3))^3`

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Volume of Disheptahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Disheptahedron = 5/3*sqrt(2)*((2*Midsphere Radius of Disheptahedron)/sqrt(3))^3
V = 5/3*sqrt(2)*((2*r_m)/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 Disheptahedron - (Measured in Cubic Meter) - Volume of Disheptahedron is the total quantity of three-dimensional space enclosed by the surface of the Disheptahedron.
Midsphere Radius of Disheptahedron - (Measured in Meter) - Midsphere Radius of Disheptahedron is the radius of the sphere for which all the edges of the Disheptahedron become a tangent line to that sphere.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Disheptahedron: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 5/3*sqrt(2)*((2*r_m)/sqrt(3))^3 --> 5/3*sqrt(2)*((2*9)/sqrt(3))^3

Evaluating ... ...

V = 2645.44892220583

STEP 3: Convert Result to Output's Unit

2645.44892220583 Cubic Meter --> No Conversion Required

FINAL ANSWER

2645.44892220583 ≈ 2645.449 Cubic Meter <-- Volume of Disheptahedron

(Calculation completed in 00.020 seconds)

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< 5 Volume of Disheptahedron Calculators

Volume of Disheptahedron given Surface to Volume Ratio

Go Volume of Disheptahedron = 5/3*sqrt(2)*((6*(3+sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Disheptahedron))^3

Volume of Disheptahedron given Total Surface Area

Go Volume of Disheptahedron = 5/3*sqrt(2)*(sqrt(Total Surface Area of Disheptahedron/(2*(3+sqrt(3)))))^3

Volume of Disheptahedron given Midsphere Radius

Go Volume of Disheptahedron = 5/3*sqrt(2)*((2*Midsphere Radius of Disheptahedron)/sqrt(3))^3

Volume of Disheptahedron given Circumsphere Radius

Go Volume of Disheptahedron = 5/3*sqrt(2)*Circumsphere Radius of Disheptahedron^3

Volume of Disheptahedron

Go Volume of Disheptahedron = 5/3*sqrt(2)*Edge Length of Disheptahedron^3

Volume of Disheptahedron given Midsphere Radius Formula

Volume of Disheptahedron = 5/3*sqrt(2)*((2*Midsphere Radius of Disheptahedron)/sqrt(3))^3
V = 5/3*sqrt(2)*((2*r_m)/sqrt(3))^3

What is a Disheptahedron?

A Disheptahedron is a symmetric, closed, and convex polyhedron, which is the Johnson solid generally denoted by J27. It is also called anticuboctahedron or twisted cuboctahedron or triangular orthobicupola. It has 14 faces which include 8 equilateral triangular faces and 6 square faces. Also, It has 24 edges and 12 vertices.

How to Calculate Volume of Disheptahedron given Midsphere Radius?

Volume of Disheptahedron given Midsphere Radius calculator uses Volume of Disheptahedron = 5/3*sqrt(2)*((2*Midsphere Radius of Disheptahedron)/sqrt(3))^3 to calculate the Volume of Disheptahedron, The Volume of Disheptahedron given Midsphere Radius formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Disheptahedron and is calculated using the midsphere radius of the Disheptahedron. Volume of Disheptahedron is denoted by V symbol.

How to calculate Volume of Disheptahedron given Midsphere Radius using this online calculator? To use this online calculator for Volume of Disheptahedron given Midsphere Radius, enter Midsphere Radius of Disheptahedron (r_m) and hit the calculate button. Here is how the Volume of Disheptahedron given Midsphere Radius calculation can be explained with given input values -> 2645.449 = 5/3*sqrt(2)*((2*9)/sqrt(3))^3.

FAQ

What is Volume of Disheptahedron given Midsphere Radius?

The Volume of Disheptahedron given Midsphere Radius formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Disheptahedron and is calculated using the midsphere radius of the Disheptahedron and is represented as V = 5/3*sqrt(2)*((2*r_m)/sqrt(3))^3 or Volume of Disheptahedron = 5/3*sqrt(2)*((2*Midsphere Radius of Disheptahedron)/sqrt(3))^3. Midsphere Radius of Disheptahedron is the radius of the sphere for which all the edges of the Disheptahedron become a tangent line to that sphere.

How to calculate Volume of Disheptahedron given Midsphere Radius?

The Volume of Disheptahedron given Midsphere Radius formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Disheptahedron and is calculated using the midsphere radius of the Disheptahedron is calculated using Volume of Disheptahedron = 5/3*sqrt(2)*((2*Midsphere Radius of Disheptahedron)/sqrt(3))^3. To calculate Volume of Disheptahedron given Midsphere Radius, you need Midsphere Radius of Disheptahedron (r_m). With our tool, you need to enter the respective value for Midsphere Radius of Disheptahedron 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 Disheptahedron?

In this formula, Volume of Disheptahedron uses Midsphere Radius of Disheptahedron. We can use 4 other way(s) to calculate the same, which is/are as follows -

Volume of Disheptahedron = 5/3*sqrt(2)*Edge Length of Disheptahedron^3
Volume of Disheptahedron = 5/3*sqrt(2)*(sqrt(Total Surface Area of Disheptahedron/(2*(3+sqrt(3)))))^3
Volume of Disheptahedron = 5/3*sqrt(2)*Circumsphere Radius of Disheptahedron^3
Volume of Disheptahedron = 5/3*sqrt(2)*((6*(3+sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Disheptahedron))^3

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