Surface to Volume Ratio of Cube given Midsphere Radius Calculator

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

+10%

-10%

✖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 Midsphere Radius [R_A/V]

⎘ Copy

👎

Formula

✖

Surface to Volume Ratio of Cube given Midsphere Radius

Formula

`"R"_{"A/V"} = 6/(sqrt(2)*"r"_{"m"})`

Example

`"0.606092m⁻¹"=6/(sqrt(2)*"7m")`

Calculator

LaTeX

Reset

👍

Download Cube Formula PDF

Surface to Volume Ratio of Cube given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Cube = 6/(sqrt(2)*Midsphere Radius of Cube)
R_A/V = 6/(sqrt(2)*r_m)
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.
Midsphere Radius of Cube - (Measured in Meter) - Midsphere Radius of Cube is the radius of the sphere for which all the edges of the Cube become a tangent line on that sphere.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Cube: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = 6/(sqrt(2)*r_m) --> 6/(sqrt(2)*7)

Evaluating ... ...

R_A/V = 0.606091526731326

STEP 3: Convert Result to Output's Unit

0.606091526731326 1 per Meter --> No Conversion Required

FINAL ANSWER

0.606091526731326 ≈ 0.606092 1 per Meter <-- Surface to Volume Ratio of Cube

(Calculation completed in 00.020 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Platonic Solids » Cube » Surface to Volume Ratio of Cube » Surface to Volume Ratio of Cube given Midsphere Radius

Credits

Created by Dhruv Walia

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

Dhruv Walia has created this Calculator and 1100+ more calculators!

Verified by Nikita Kumari

The National Institute of Engineering (NIE), Mysuru

Nikita Kumari has verified this Calculator and 600+ more calculators!

< 14 Surface to Volume Ratio of Cube Calculators

Surface to Volume Ratio of Cube given Circumscribed Cylinder Radius

Go Surface to Volume Ratio of Cube = 6/(sqrt(2)*Circumscribed Cylinder Radius of Cube)

Surface to Volume Ratio of Cube given Circumsphere Radius

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

Surface to Volume Ratio of Cube given Lateral Surface Area

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

Surface to Volume Ratio of Cube given Total Surface Area

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

Surface to Volume Ratio of Cube given Midsphere Radius

Go Surface to Volume Ratio of Cube = 6/(sqrt(2)*Midsphere Radius of Cube)

Surface to Volume Ratio of Cube given Space Diagonal

Go Surface to Volume Ratio of Cube = 6/(Space Diagonal of Cube/sqrt(3))

Surface to Volume Ratio of Cube given Face Diagonal

Go Surface to Volume Ratio of Cube = 6/(Face Diagonal of Cube/sqrt(2))

Surface to Volume Ratio of Cube given Face Area

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

Surface to Volume Ratio of Cube given Inscribed Cylinder Radius

Go Surface to Volume Ratio of Cube = 3/Inscribed Cylinder Radius of Cube

Surface to Volume Ratio of Cube given Face Perimeter

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

Surface to Volume Ratio of Cube given Insphere Radius

Go Surface to Volume Ratio of Cube = 3/Insphere Radius of Cube

Surface to Volume Ratio of Cube given Perimeter

Go Surface to Volume Ratio of Cube = 6/(Perimeter of Cube/12)

Surface to Volume Ratio of Cube given Volume

Go Surface to Volume Ratio of Cube = 6/(Volume of Cube^(1/3))

Surface to Volume Ratio of Cube

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

Surface to Volume Ratio of Cube given Midsphere Radius Formula

Surface to Volume Ratio of Cube = 6/(sqrt(2)*Midsphere Radius of Cube)
R_A/V = 6/(sqrt(2)*r_m)

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 Midsphere Radius?

Surface to Volume Ratio of Cube given Midsphere Radius calculator uses Surface to Volume Ratio of Cube = 6/(sqrt(2)*Midsphere Radius of Cube) to calculate the Surface to Volume Ratio of Cube, The Surface to Volume Ratio of Cube given Midsphere 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 midsphere 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 Midsphere Radius using this online calculator? To use this online calculator for Surface to Volume Ratio of Cube given Midsphere Radius, enter Midsphere Radius of Cube (r_m) and hit the calculate button. Here is how the Surface to Volume Ratio of Cube given Midsphere Radius calculation can be explained with given input values -> 0.606092 = 6/(sqrt(2)*7).

FAQ

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

The Surface to Volume Ratio of Cube given Midsphere 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 midsphere radius of the Cube and is represented as R_A/V = 6/(sqrt(2)*r_m) or Surface to Volume Ratio of Cube = 6/(sqrt(2)*Midsphere Radius of Cube). Midsphere Radius of Cube is the radius of the sphere for which all the edges of the Cube become a tangent line on that sphere.

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

The Surface to Volume Ratio of Cube given Midsphere 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 midsphere radius of the Cube is calculated using Surface to Volume Ratio of Cube = 6/(sqrt(2)*Midsphere Radius of Cube). To calculate Surface to Volume Ratio of Cube given Midsphere Radius, you need Midsphere Radius of Cube (r_m). With our tool, you need to enter the respective value for Midsphere 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 Midsphere Radius of Cube. We can use 13 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)
Surface to Volume Ratio of Cube = 6/(sqrt(Lateral Surface Area of Cube/4))
Surface to Volume Ratio of Cube = 3/Insphere Radius of Cube
Surface to Volume Ratio of Cube = 3/Inscribed Cylinder Radius of Cube
Surface to Volume Ratio of Cube = 6/((2*Circumsphere Radius of Cube)/sqrt(3))
Surface to Volume Ratio of Cube = 6/(Volume of Cube^(1/3))
Surface to Volume Ratio of Cube = 6/(sqrt(2)*Circumscribed Cylinder Radius of Cube)
Surface to Volume Ratio of Cube = 6/(Face Diagonal of Cube/sqrt(2))
Surface to Volume Ratio of Cube = 6/(Space Diagonal of Cube/sqrt(3))
Surface to Volume Ratio of Cube = 6/(sqrt(Total Surface Area of Cube/6))
Surface to Volume Ratio of Cube = 6/(Perimeter of Cube/12)

Home

FREE PDFs

🔍 Search