Surface to Volume Ratio of Truncated Cube Calculator

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

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Formula

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Surface to Volume Ratio of Truncated Cube

Formula

`"R"_{"A/V"} = (6*(6+(6*sqrt(2))+sqrt(3)))/("l"_{"e"}*(21+(14*sqrt(2))))`

Example

`"0.238496m⁻¹"=(6*(6+(6*sqrt(2))+sqrt(3)))/("10m"*(21+(14*sqrt(2))))`

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Surface to Volume Ratio of Truncated Cube Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Truncated Cube = (6*(6+(6*sqrt(2))+sqrt(3)))/(Edge Length of Truncated Cube*(21+(14*sqrt(2))))
R_A/V = (6*(6+(6*sqrt(2))+sqrt(3)))/(l_e*(21+(14*sqrt(2))))
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 Truncated Cube - (Measured in 1 per Meter) - Surface to Volume Ratio of Truncated Cube is the numerical ratio of the total surface area of a Truncated Cube to the volume of the Truncated Cube.
Edge Length of Truncated Cube - (Measured in Meter) - Edge Length of Truncated Cube is the length of any edge of the Truncated Cube.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Truncated Cube: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = (6*(6+(6*sqrt(2))+sqrt(3)))/(l_e*(21+(14*sqrt(2)))) --> (6*(6+(6*sqrt(2))+sqrt(3)))/(10*(21+(14*sqrt(2))))

Evaluating ... ...

R_A/V = 0.238496083832473

STEP 3: Convert Result to Output's Unit

0.238496083832473 1 per Meter --> No Conversion Required

FINAL ANSWER

0.238496083832473 ≈ 0.238496 1 per Meter <-- Surface to Volume Ratio of Truncated Cube

(Calculation completed in 00.020 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Walchand College of Engineering (WCE), Sangli

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< 10+ Truncated Cube Calculators

Surface to Volume Ratio of Truncated Cube given Cubic Edge Length

Go Surface to Volume Ratio of Truncated Cube = (6*(6+(6*sqrt(2))+sqrt(3)))/(Cubic Edge Length of Truncated Cube/(1+sqrt(2))*(21+(14*sqrt(2))))

Surface to Volume Ratio of Truncated Cube

Go Surface to Volume Ratio of Truncated Cube = (6*(6+(6*sqrt(2))+sqrt(3)))/(Edge Length of Truncated Cube*(21+(14*sqrt(2))))

Total Surface Area of Truncated Cube given Cubic Edge Length

Go Total Surface Area of Truncated Cube = 2*(6+(6*sqrt(2))+sqrt(3))*(Cubic Edge Length of Truncated Cube/(1+sqrt(2)))^2

Circumsphere Radius of Truncated Cube given Cubic Edge Length

Go Circumsphere Radius of Truncated Cube = sqrt(7+(4*sqrt(2)))/2*Cubic Edge Length of Truncated Cube/(1+sqrt(2))

Midsphere Radius of Truncated Cube given Cubic Edge Length

Go Midsphere Radius of Truncated Cube = (2+sqrt(2))/2*Cubic Edge Length of Truncated Cube/(1+sqrt(2))

Volume of Truncated Cube given Cubic Edge Length

Go Volume of Truncated Cube = (21+(14*sqrt(2)))/3*(Cubic Edge Length of Truncated Cube/(1+sqrt(2)))^3

Total Surface Area of Truncated Cube

Go Total Surface Area of Truncated Cube = 2*(6+(6*sqrt(2))+sqrt(3))*Edge Length of Truncated Cube^2

Circumsphere Radius of Truncated Cube

Go Circumsphere Radius of Truncated Cube = sqrt(7+(4*sqrt(2)))/2*Edge Length of Truncated Cube

Midsphere Radius of Truncated Cube

Go Midsphere Radius of Truncated Cube = (2+sqrt(2))/2*Edge Length of Truncated Cube

Volume of Truncated Cube

Go Volume of Truncated Cube = (21+(14*sqrt(2)))/3*Edge Length of Truncated Cube^3

Surface to Volume Ratio of Truncated Cube Formula

Surface to Volume Ratio of Truncated Cube = (6*(6+(6*sqrt(2))+sqrt(3)))/(Edge Length of Truncated Cube*(21+(14*sqrt(2))))
R_A/V = (6*(6+(6*sqrt(2))+sqrt(3)))/(l_e*(21+(14*sqrt(2))))

What is a Truncated Cube?

In geometry, the Truncated Cube or truncated hexahedron is an Archimedean solid, which obtained by truncating or cutting off the eight edges of a cube. It has 14 regular faces (6 octagonal and 8 triangular), 36 edges, and 24 vertices. All the vertices are identical in such a way that, at each vertex two octagonal faces and one triangular face join together. The dual body of Truncated Cube is called triakis octahedron.

How to Calculate Surface to Volume Ratio of Truncated Cube?

Surface to Volume Ratio of Truncated Cube calculator uses Surface to Volume Ratio of Truncated Cube = (6*(6+(6*sqrt(2))+sqrt(3)))/(Edge Length of Truncated Cube*(21+(14*sqrt(2)))) to calculate the Surface to Volume Ratio of Truncated Cube, Surface to Volume Ratio of Truncated Cube formula is defined as the numerical ratio of the total surface area of a Truncated Cube to the volume of the Truncated Cube. Surface to Volume Ratio of Truncated Cube is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Truncated Cube using this online calculator? To use this online calculator for Surface to Volume Ratio of Truncated Cube, enter Edge Length of Truncated Cube (l_e) and hit the calculate button. Here is how the Surface to Volume Ratio of Truncated Cube calculation can be explained with given input values -> 0.238496 = (6*(6+(6*sqrt(2))+sqrt(3)))/(10*(21+(14*sqrt(2)))).

FAQ

What is Surface to Volume Ratio of Truncated Cube?

Surface to Volume Ratio of Truncated Cube formula is defined as the numerical ratio of the total surface area of a Truncated Cube to the volume of the Truncated Cube and is represented as R_A/V = (6*(6+(6*sqrt(2))+sqrt(3)))/(l_e*(21+(14*sqrt(2)))) or Surface to Volume Ratio of Truncated Cube = (6*(6+(6*sqrt(2))+sqrt(3)))/(Edge Length of Truncated Cube*(21+(14*sqrt(2)))). Edge Length of Truncated Cube is the length of any edge of the Truncated Cube.

How to calculate Surface to Volume Ratio of Truncated Cube?

Surface to Volume Ratio of Truncated Cube formula is defined as the numerical ratio of the total surface area of a Truncated Cube to the volume of the Truncated Cube is calculated using Surface to Volume Ratio of Truncated Cube = (6*(6+(6*sqrt(2))+sqrt(3)))/(Edge Length of Truncated Cube*(21+(14*sqrt(2)))). To calculate Surface to Volume Ratio of Truncated Cube, you need Edge Length of Truncated Cube (l_e). With our tool, you need to enter the respective value for Edge Length of Truncated 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 Truncated Cube?

In this formula, Surface to Volume Ratio of Truncated Cube uses Edge Length of Truncated Cube. We can use 1 other way(s) to calculate the same, which is/are as follows -

Surface to Volume Ratio of Truncated Cube = (6*(6+(6*sqrt(2))+sqrt(3)))/(Cubic Edge Length of Truncated Cube/(1+sqrt(2))*(21+(14*sqrt(2))))

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