Surface to Volume Ratio of Disheptahedron given Circumsphere Radius Calculator

✖Circumsphere Radius of Disheptahedron is the radius of the sphere that contains the Disheptahedron in such a way that all the vertices of the Disheptahedron are touching the sphere.ⓘ Circumsphere Radius of Disheptahedron [r_c]

+10%

-10%

✖Surface to Volume Ratio of Disheptahedron is the numerical ratio of the total surface area of a Disheptahedron to the volume of the Disheptahedron.ⓘ Surface to Volume Ratio of Disheptahedron given Circumsphere Radius [R_A/V]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Johnson Solids Formula PDF PDF Image

Surface to Volume Ratio of Disheptahedron given Circumsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Disheptahedron = (6*(3+sqrt(3)))/(5*sqrt(2)*Circumsphere Radius of Disheptahedron)
R_A/V = (6*(3+sqrt(3)))/(5*sqrt(2)*r_c)
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

Surface to Volume Ratio of Disheptahedron - (Measured in 1 per Meter) - Surface to Volume Ratio of Disheptahedron is the numerical ratio of the total surface area of a Disheptahedron to the volume of the Disheptahedron.
Circumsphere Radius of Disheptahedron - (Measured in Meter) - Circumsphere Radius of Disheptahedron is the radius of the sphere that contains the Disheptahedron in such a way that all the vertices of the Disheptahedron are touching the sphere.

STEP 1: Convert Input(s) to Base Unit

Circumsphere Radius of Disheptahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = (6*(3+sqrt(3)))/(5*sqrt(2)*r_c) --> (6*(3+sqrt(3)))/(5*sqrt(2)*10)

Evaluating ... ...

R_A/V = 0.401527825794148

STEP 3: Convert Result to Output's Unit

0.401527825794148 1 per Meter --> No Conversion Required

FINAL ANSWER

0.401527825794148 ≈ 0.401528 1 per Meter <-- Surface to Volume Ratio of Disheptahedron

(Calculation completed in 00.008 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Johnson Solids » Disheptahedron » Surface to Volume Ratio of Disheptahedron » Surface to Volume Ratio of Disheptahedron given Circumsphere Radius

Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 1700+ more calculators!

< Surface to Volume Ratio of Disheptahedron Calculators

Surface to Volume Ratio of Disheptahedron given Volume

LaTeX Go Surface to Volume Ratio of Disheptahedron = (6*(3+sqrt(3)))/(5*sqrt(2)*((3*Volume of Disheptahedron)/(5*sqrt(2)))^(1/3))

Surface to Volume Ratio of Disheptahedron given Total Surface Area

LaTeX Go Surface to Volume Ratio of Disheptahedron = (6*(3+sqrt(3)))/(5*sqrt(Total Surface Area of Disheptahedron/(3+sqrt(3))))

Surface to Volume Ratio of Disheptahedron given Circumsphere Radius

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

Surface to Volume Ratio of Disheptahedron

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

Surface to Volume Ratio of Disheptahedron given Circumsphere Radius Formula

LaTeX Go

Surface to Volume Ratio of Disheptahedron = (6*(3+sqrt(3)))/(5*sqrt(2)*Circumsphere Radius of Disheptahedron)
R_A/V = (6*(3+sqrt(3)))/(5*sqrt(2)*r_c)

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 Surface to Volume Ratio of Disheptahedron given Circumsphere Radius?

Surface to Volume Ratio of Disheptahedron given Circumsphere Radius calculator uses Surface to Volume Ratio of Disheptahedron = (6*(3+sqrt(3)))/(5*sqrt(2)*Circumsphere Radius of Disheptahedron) to calculate the Surface to Volume Ratio of Disheptahedron, The Surface to Volume Ratio of Disheptahedron given Circumsphere Radius formula is defined as the numerical ratio of the total surface area of a Disheptahedron to the volume of the Disheptahedron and is calculated using the circumsphere radius of the Disheptahedron. Surface to Volume Ratio of Disheptahedron is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Disheptahedron given Circumsphere Radius using this online calculator? To use this online calculator for Surface to Volume Ratio of Disheptahedron given Circumsphere Radius, enter Circumsphere Radius of Disheptahedron (r_c) and hit the calculate button. Here is how the Surface to Volume Ratio of Disheptahedron given Circumsphere Radius calculation can be explained with given input values -> 0.401528 = (6*(3+sqrt(3)))/(5*sqrt(2)*10).

FAQ

What is Surface to Volume Ratio of Disheptahedron given Circumsphere Radius?

The Surface to Volume Ratio of Disheptahedron given Circumsphere Radius formula is defined as the numerical ratio of the total surface area of a Disheptahedron to the volume of the Disheptahedron and is calculated using the circumsphere radius of the Disheptahedron and is represented as R_A/V = (6*(3+sqrt(3)))/(5*sqrt(2)*r_c) or Surface to Volume Ratio of Disheptahedron = (6*(3+sqrt(3)))/(5*sqrt(2)*Circumsphere Radius of Disheptahedron). Circumsphere Radius of Disheptahedron is the radius of the sphere that contains the Disheptahedron in such a way that all the vertices of the Disheptahedron are touching the sphere.

How to calculate Surface to Volume Ratio of Disheptahedron given Circumsphere Radius?

The Surface to Volume Ratio of Disheptahedron given Circumsphere Radius formula is defined as the numerical ratio of the total surface area of a Disheptahedron to the volume of the Disheptahedron and is calculated using the circumsphere radius of the Disheptahedron is calculated using Surface to Volume Ratio of Disheptahedron = (6*(3+sqrt(3)))/(5*sqrt(2)*Circumsphere Radius of Disheptahedron). To calculate Surface to Volume Ratio of Disheptahedron given Circumsphere Radius, you need Circumsphere Radius of Disheptahedron (r_c). With our tool, you need to enter the respective value for Circumsphere 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 Surface to Volume Ratio of Disheptahedron?

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

Surface to Volume Ratio of Disheptahedron = (6*(3+sqrt(3)))/(5*sqrt(2)*Edge Length of Disheptahedron)
Surface to Volume Ratio of Disheptahedron = (6*(3+sqrt(3)))/(5*sqrt(Total Surface Area of Disheptahedron/(3+sqrt(3))))
Surface to Volume Ratio of Disheptahedron = (6*(3+sqrt(3)))/(5*sqrt(2)*((3*Volume of Disheptahedron)/(5*sqrt(2)))^(1/3))

Home

FREE PDFs

🔍 Search