Surface to Volume Ratio of Cube given Circumsphere Radius Calculator

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

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

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Surface to Volume Ratio of Cube given Circumsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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

STEP 1: Convert Input(s) to Base Unit

Circumsphere Radius of Cube: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = 6/((2*r_c)/sqrt(3)) --> 6/((2*9)/sqrt(3))

Evaluating ... ...

R_A/V = 0.577350269189626

STEP 3: Convert Result to Output's Unit

0.577350269189626 1 per Meter --> No Conversion Required

FINAL ANSWER

0.577350269189626 ≈ 0.57735 1 per Meter <-- Surface to Volume Ratio of Cube

(Calculation completed in 00.004 seconds)

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Created by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< Surface to Volume Ratio of Cube Calculators

Surface to Volume Ratio of Cube given Lateral Surface Area

LaTeX Go Surface to Volume Ratio of Cube = 6/(sqrt(Lateral Surface Area of Cube/4))

Surface to Volume Ratio of Cube given Face Area

LaTeX Go Surface to Volume Ratio of Cube = 6/(sqrt(Face Area of Cube))

Surface to Volume Ratio of Cube given Face Perimeter

LaTeX Go Surface to Volume Ratio of Cube = 6/(Face Perimeter of Cube/4)

Surface to Volume Ratio of Cube

LaTeX Go Surface to Volume Ratio of Cube = 6/Edge Length of Cube

Surface to Volume Ratio of Cube given Circumsphere Radius Formula

LaTeX Go

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

What is a Cube?

A Cube is a symmetric, closed three dimensional shape having 6 identical square shaped faces. It has 8 corners, 12 edges and 6 faces. And each corner is shared by 3 faces and each edge is shared by 2 faces of the Cube. In other way, a rectangular box in which length, breadth and height are numerically equal is called a Cube. That equal measurement is called the edge length of the Cube. Also Cube is a Platonic solid.

How to Calculate Surface to Volume Ratio of Cube given Circumsphere Radius?

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

How to calculate Surface to Volume Ratio of Cube given Circumsphere Radius using this online calculator? To use this online calculator for Surface to Volume Ratio of Cube given Circumsphere Radius, enter Circumsphere Radius of Cube (r_c) and hit the calculate button. Here is how the Surface to Volume Ratio of Cube given Circumsphere Radius calculation can be explained with given input values -> 0.57735 = 6/((2*9)/sqrt(3)).

FAQ

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

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

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

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

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

Surface to Volume Ratio of Cube = 6/Edge Length of Cube
Surface to Volume Ratio of Cube = 6/(sqrt(Face Area of Cube))
Surface to Volume Ratio of Cube = 6/(Face Perimeter of Cube/4)

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