Cubic Edge Length of Truncated Cube given Total Surface Area Calculator

✖Total Surface Area of Truncated Cube is the total quantity of plane enclosed by the entire surface of the Truncated Cube.ⓘ Total Surface Area of Truncated Cube [TSA]

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✖Cubic Edge Length of Truncated Cube is the length of any edge of the larger cube from which the corners are cut to form the Truncated Cube.ⓘ Cubic Edge Length of Truncated Cube given Total Surface Area [l_e(Cube)]

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Formula

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Cubic Edge Length of Truncated Cube given Total Surface Area

Formula

`"l"_{"e(Cube)"} = sqrt("TSA"/(2*(6+(6*sqrt(2))+sqrt(3))))*(1+sqrt(2))`

Example

`"23.97982m"=sqrt("3200m²"/(2*(6+(6*sqrt(2))+sqrt(3))))*(1+sqrt(2))`

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Cubic Edge Length of Truncated Cube given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Cubic Edge Length of Truncated Cube - (Measured in Meter) - Cubic Edge Length of Truncated Cube is the length of any edge of the larger cube from which the corners are cut to form the Truncated Cube.
Total Surface Area of Truncated Cube - (Measured in Square Meter) - Total Surface Area of Truncated Cube is the total quantity of plane enclosed by the entire surface of the Truncated Cube.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Truncated Cube: 3200 Square Meter --> 3200 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Cube) = sqrt(TSA/(2*(6+(6*sqrt(2))+sqrt(3))))*(1+sqrt(2)) --> sqrt(3200/(2*(6+(6*sqrt(2))+sqrt(3))))*(1+sqrt(2))

Evaluating ... ...

l_e(Cube) = 23.9798228482367

STEP 3: Convert Result to Output's Unit

23.9798228482367 Meter --> No Conversion Required

FINAL ANSWER

23.9798228482367 ≈ 23.97982 Meter <-- Cubic Edge Length of Truncated Cube

(Calculation completed in 00.004 seconds)

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< 8 Edge Length of Truncated Cube Calculators

Cubic Edge Length of Truncated Cube given Total Surface Area

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

Edge Length of Truncated Cube given Total Surface Area

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

Cubic Edge Length of Truncated Cube given Volume

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

Cubic Edge Length of Truncated Cube given Midsphere Radius

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

Edge Length of Truncated Cube given Volume

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

Edge Length of Truncated Cube given Midsphere Radius

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

Edge Length of Truncated Cube given Cubic Edge Length

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

Cubic Edge Length of Truncated Cube

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

Cubic Edge Length of Truncated Cube given Total Surface Area Formula

Cubic Edge Length of Truncated Cube = sqrt(Total Surface Area of Truncated Cube/(2*(6+(6*sqrt(2))+sqrt(3))))*(1+sqrt(2))
l_e(Cube) = sqrt(TSA/(2*(6+(6*sqrt(2))+sqrt(3))))*(1+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 Cubic Edge Length of Truncated Cube given Total Surface Area?

Cubic Edge Length of Truncated Cube given Total Surface Area calculator uses Cubic Edge Length of Truncated Cube = sqrt(Total Surface Area of Truncated Cube/(2*(6+(6*sqrt(2))+sqrt(3))))*(1+sqrt(2)) to calculate the Cubic Edge Length of Truncated Cube, The Cubic Edge Length of Truncated Cube given Total Surface Area formula is defined as the length of any edge of the larger cube from which the corners are cut to form the Truncated Cube, calculated using its total surface area. Cubic Edge Length of Truncated Cube is denoted by l_e(Cube) symbol.

How to calculate Cubic Edge Length of Truncated Cube given Total Surface Area using this online calculator? To use this online calculator for Cubic Edge Length of Truncated Cube given Total Surface Area, enter Total Surface Area of Truncated Cube (TSA) and hit the calculate button. Here is how the Cubic Edge Length of Truncated Cube given Total Surface Area calculation can be explained with given input values -> 23.97982 = sqrt(3200/(2*(6+(6*sqrt(2))+sqrt(3))))*(1+sqrt(2)).

FAQ

What is Cubic Edge Length of Truncated Cube given Total Surface Area?

The Cubic Edge Length of Truncated Cube given Total Surface Area formula is defined as the length of any edge of the larger cube from which the corners are cut to form the Truncated Cube, calculated using its total surface area and is represented as l_e(Cube) = sqrt(TSA/(2*(6+(6*sqrt(2))+sqrt(3))))*(1+sqrt(2)) or Cubic Edge Length of Truncated Cube = sqrt(Total Surface Area of Truncated Cube/(2*(6+(6*sqrt(2))+sqrt(3))))*(1+sqrt(2)). Total Surface Area of Truncated Cube is the total quantity of plane enclosed by the entire surface of the Truncated Cube.

How to calculate Cubic Edge Length of Truncated Cube given Total Surface Area?

The Cubic Edge Length of Truncated Cube given Total Surface Area formula is defined as the length of any edge of the larger cube from which the corners are cut to form the Truncated Cube, calculated using its total surface area is calculated using Cubic Edge Length of Truncated Cube = sqrt(Total Surface Area of Truncated Cube/(2*(6+(6*sqrt(2))+sqrt(3))))*(1+sqrt(2)). To calculate Cubic Edge Length of Truncated Cube given Total Surface Area, you need Total Surface Area of Truncated Cube (TSA). With our tool, you need to enter the respective value for Total Surface Area 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 Cubic Edge Length of Truncated Cube?

In this formula, Cubic Edge Length of Truncated Cube uses Total Surface Area of Truncated Cube. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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