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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✖Edge Length of Truncated Cube is the length of any edge of the Truncated Cube.ⓘ Edge Length of Truncated Cube given Total Surface Area [l_e]

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Edge Length of Truncated Cube given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Edge Length of Truncated Cube - (Measured in Meter) - Edge Length of Truncated Cube is the length of any edge of 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 = sqrt(TSA/(2*(6+(6*sqrt(2))+sqrt(3)))) --> sqrt(3200/(2*(6+(6*sqrt(2))+sqrt(3))))

Evaluating ... ...

l_e = 9.93276784704386

STEP 3: Convert Result to Output's Unit

9.93276784704386 Meter --> No Conversion Required

FINAL ANSWER

9.93276784704386 ≈ 9.932768 Meter <-- Edge Length of Truncated Cube

(Calculation completed in 00.004 seconds)

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< Edge Length of Truncated Cube Calculators

Edge Length of Truncated Cube given Total Surface Area

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

Edge Length of Truncated Cube given Volume

LaTeX 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

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

Edge Length of Truncated Cube given Cubic Edge Length

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

Edge Length of Truncated Cube given Total Surface Area Formula

LaTeX Go

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

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 Edge Length of Truncated Cube given Total Surface Area?

Edge Length of Truncated Cube given Total Surface Area calculator uses Edge Length of Truncated Cube = sqrt(Total Surface Area of Truncated Cube/(2*(6+(6*sqrt(2))+sqrt(3)))) to calculate the Edge Length of Truncated Cube, Edge Length of Truncated Cube given Total Surface Area formula is defined as the length of any edge of the Truncated Cube, and calculated using the total surface area of the Truncated Cube. Edge Length of Truncated Cube is denoted by l_e symbol.

How to calculate Edge Length of Truncated Cube given Total Surface Area using this online calculator? To use this online calculator for 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 Edge Length of Truncated Cube given Total Surface Area calculation can be explained with given input values -> 9.932768 = sqrt(3200/(2*(6+(6*sqrt(2))+sqrt(3)))).

FAQ

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

Edge Length of Truncated Cube given Total Surface Area formula is defined as the length of any edge of the Truncated Cube, and calculated using the total surface area of the Truncated Cube and is represented as l_e = sqrt(TSA/(2*(6+(6*sqrt(2))+sqrt(3)))) or Edge Length of Truncated Cube = sqrt(Total Surface Area of Truncated Cube/(2*(6+(6*sqrt(2))+sqrt(3)))). Total Surface Area of Truncated Cube is the total quantity of plane enclosed by the entire surface of the Truncated Cube.

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

Edge Length of Truncated Cube given Total Surface Area formula is defined as the length of any edge of the Truncated Cube, and calculated using the total surface area of the Truncated Cube is calculated using Edge Length of Truncated Cube = sqrt(Total Surface Area of Truncated Cube/(2*(6+(6*sqrt(2))+sqrt(3)))). To calculate 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 Edge Length of Truncated Cube?

In this formula, 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 -

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

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