Total Surface Area of Truncated Cube given Cubic Edge Length Calculator

✖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 [l_e(Cube)]

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✖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 given Cubic Edge Length [TSA]

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Total Surface Area of Truncated Cube given Cubic Edge Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Cubic Edge Length of Truncated Cube: 24 Meter --> 24 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = 2*(6+(6*sqrt(2))+sqrt(3))*(l_e(Cube)/(1+sqrt(2)))^2 --> 2*(6+(6*sqrt(2))+sqrt(3))*(24/(1+sqrt(2)))^2

Evaluating ... ...

TSA = 3205.38736670843

STEP 3: Convert Result to Output's Unit

3205.38736670843 Square Meter --> No Conversion Required

FINAL ANSWER

3205.38736670843 ≈ 3205.387 Square Meter <-- Total Surface Area of Truncated Cube

(Calculation completed in 00.004 seconds)

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< Truncated Cube Calculators

Total Surface Area of Truncated Cube

LaTeX 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

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

Midsphere Radius of Truncated Cube

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

Volume of Truncated Cube

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

Total Surface Area of Truncated Cube given Cubic Edge Length Formula

LaTeX Go

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

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

Total Surface Area of Truncated Cube given Cubic Edge Length calculator uses Total Surface Area of Truncated Cube = 2*(6+(6*sqrt(2))+sqrt(3))*(Cubic Edge Length of Truncated Cube/(1+sqrt(2)))^2 to calculate the Total Surface Area of Truncated Cube, The Total Surface Area of Truncated Cube given Cubic Edge Length formula is defined as the total quantity of plane enclosed by the entire surface of the Truncated Cube, calculated using its cubic edge length. Total Surface Area of Truncated Cube is denoted by TSA symbol.

How to calculate Total Surface Area of Truncated Cube given Cubic Edge Length using this online calculator? To use this online calculator for Total Surface Area of Truncated Cube given Cubic Edge Length, enter Cubic Edge Length of Truncated Cube (l_e(Cube)) and hit the calculate button. Here is how the Total Surface Area of Truncated Cube given Cubic Edge Length calculation can be explained with given input values -> 3205.387 = 2*(6+(6*sqrt(2))+sqrt(3))*(24/(1+sqrt(2)))^2.

FAQ

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

The Total Surface Area of Truncated Cube given Cubic Edge Length formula is defined as the total quantity of plane enclosed by the entire surface of the Truncated Cube, calculated using its cubic edge length and is represented as TSA = 2*(6+(6*sqrt(2))+sqrt(3))*(l_e(Cube)/(1+sqrt(2)))^2 or Total Surface Area of Truncated Cube = 2*(6+(6*sqrt(2))+sqrt(3))*(Cubic Edge Length of Truncated Cube/(1+sqrt(2)))^2. 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.

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

The Total Surface Area of Truncated Cube given Cubic Edge Length formula is defined as the total quantity of plane enclosed by the entire surface of the Truncated Cube, calculated using its cubic edge length is calculated using Total Surface Area of Truncated Cube = 2*(6+(6*sqrt(2))+sqrt(3))*(Cubic Edge Length of Truncated Cube/(1+sqrt(2)))^2. To calculate Total Surface Area of Truncated Cube given Cubic Edge Length, you need Cubic Edge Length of Truncated Cube (l_e(Cube)). With our tool, you need to enter the respective value for Cubic 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 Total Surface Area of Truncated Cube?

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

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

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