Edge Length of Elongated Triangular Pyramid given Total Surface Area Calculator

✖Total Surface Area of Elongated Triangular Pyramid is the total amount of two-dimensional space occupied by all the faces of the Elongated Triangular Pyramid.ⓘ Total Surface Area of Elongated Triangular Pyramid [TSA]

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✖Edge Length of Elongated Triangular Pyramid is the length of any edge of the Elongated Triangular Pyramid.ⓘ Edge Length of Elongated Triangular Pyramid given Total Surface Area [l_e]

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Edge Length of Elongated Triangular Pyramid given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Elongated Triangular Pyramid = sqrt(Total Surface Area of Elongated Triangular Pyramid/(3+sqrt(3)))
l_e = sqrt(TSA/(3+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 Elongated Triangular Pyramid - (Measured in Meter) - Edge Length of Elongated Triangular Pyramid is the length of any edge of the Elongated Triangular Pyramid.
Total Surface Area of Elongated Triangular Pyramid - (Measured in Square Meter) - Total Surface Area of Elongated Triangular Pyramid is the total amount of two-dimensional space occupied by all the faces of the Elongated Triangular Pyramid.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Elongated Triangular Pyramid: 450 Square Meter --> 450 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = sqrt(TSA/(3+sqrt(3))) --> sqrt(450/(3+sqrt(3)))

Evaluating ... ...

l_e = 9.75172751015604

STEP 3: Convert Result to Output's Unit

9.75172751015604 Meter --> No Conversion Required

FINAL ANSWER

9.75172751015604 ≈ 9.751728 Meter <-- Edge Length of Elongated Triangular Pyramid

(Calculation completed in 00.006 seconds)

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< Edge Length of Elongated Triangular Pyramid Calculators

Edge Length of Elongated Triangular Pyramid given Surface to Volume Ratio

LaTeX Go Edge Length of Elongated Triangular Pyramid = (3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*SA:V of Elongated Triangular Pyramid)

Edge Length of Elongated Triangular Pyramid given Volume

LaTeX Go Edge Length of Elongated Triangular Pyramid = ((12*Volume of Elongated Triangular Pyramid)/(sqrt(2)+(3*sqrt(3))))^(1/3)

Edge Length of Elongated Triangular Pyramid given Total Surface Area

LaTeX Go Edge Length of Elongated Triangular Pyramid = sqrt(Total Surface Area of Elongated Triangular Pyramid/(3+sqrt(3)))

Edge Length of Elongated Triangular Pyramid given Height

LaTeX Go Edge Length of Elongated Triangular Pyramid = Height of Elongated Triangular Pyramid/(sqrt(6)/3+1)

Edge Length of Elongated Triangular Pyramid given Total Surface Area Formula

LaTeX Go

Edge Length of Elongated Triangular Pyramid = sqrt(Total Surface Area of Elongated Triangular Pyramid/(3+sqrt(3)))
l_e = sqrt(TSA/(3+sqrt(3)))

What is an Elongated Triangular Pyramid?

The Elongated Triangular Pyramid is a regular tetrahedron with a matching right prism attached to one face, which is the Johnson solid generally denoted by J7. It consists of 7 faces which include 3 equilateral triangles as pyramid faces, 3 squares as side surfaces, and another equilateral triangle as the base surface. Also, It has 12 edges and 7 vertices.

How to Calculate Edge Length of Elongated Triangular Pyramid given Total Surface Area?

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

How to calculate Edge Length of Elongated Triangular Pyramid given Total Surface Area using this online calculator? To use this online calculator for Edge Length of Elongated Triangular Pyramid given Total Surface Area, enter Total Surface Area of Elongated Triangular Pyramid (TSA) and hit the calculate button. Here is how the Edge Length of Elongated Triangular Pyramid given Total Surface Area calculation can be explained with given input values -> 9.751728 = sqrt(450/(3+sqrt(3))).

FAQ

What is Edge Length of Elongated Triangular Pyramid given Total Surface Area?

The Edge Length of Elongated Triangular Pyramid given Total Surface Area formula is defined as the length of any edge of the Elongated Triangular Pyramid and is calculated using the total surface area of the Elongated Triangular Pyramid and is represented as l_e = sqrt(TSA/(3+sqrt(3))) or Edge Length of Elongated Triangular Pyramid = sqrt(Total Surface Area of Elongated Triangular Pyramid/(3+sqrt(3))). Total Surface Area of Elongated Triangular Pyramid is the total amount of two-dimensional space occupied by all the faces of the Elongated Triangular Pyramid.

How to calculate Edge Length of Elongated Triangular Pyramid given Total Surface Area?

The Edge Length of Elongated Triangular Pyramid given Total Surface Area formula is defined as the length of any edge of the Elongated Triangular Pyramid and is calculated using the total surface area of the Elongated Triangular Pyramid is calculated using Edge Length of Elongated Triangular Pyramid = sqrt(Total Surface Area of Elongated Triangular Pyramid/(3+sqrt(3))). To calculate Edge Length of Elongated Triangular Pyramid given Total Surface Area, you need Total Surface Area of Elongated Triangular Pyramid (TSA). With our tool, you need to enter the respective value for Total Surface Area of Elongated Triangular Pyramid 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 Elongated Triangular Pyramid?

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

Edge Length of Elongated Triangular Pyramid = Height of Elongated Triangular Pyramid/(sqrt(6)/3+1)
Edge Length of Elongated Triangular Pyramid = ((12*Volume of Elongated Triangular Pyramid)/(sqrt(2)+(3*sqrt(3))))^(1/3)
Edge Length of Elongated Triangular Pyramid = (3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*SA:V of Elongated Triangular Pyramid)

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