Edge Length of Elongated Triangular Pyramid given Volume Calculator

✖Volume of Elongated Triangular Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Elongated Triangular Pyramid.ⓘ Volume of Elongated Triangular Pyramid [V]

+10%

-10%

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

⎘ Copy

👎

Formula

✖

Edge Length of Elongated Triangular Pyramid given Volume

Formula

`"l"_{"e"} = ((12*"V")/(sqrt(2)+(3*sqrt(3))))^(1/3)`

Example

`"9.99477m"=((12*"550m³")/(sqrt(2)+(3*sqrt(3))))^(1/3)`

Calculator

LaTeX

Reset

👍

Download Johnson Solids Formula PDF PDF Image

Edge Length of Elongated Triangular Pyramid given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Elongated Triangular Pyramid = ((12*Volume of Elongated Triangular Pyramid)/(sqrt(2)+(3*sqrt(3))))^(1/3)
l_e = ((12*V)/(sqrt(2)+(3*sqrt(3))))^(1/3)
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.
Volume of Elongated Triangular Pyramid - (Measured in Cubic Meter) - Volume of Elongated Triangular Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Elongated Triangular Pyramid.

STEP 1: Convert Input(s) to Base Unit

Volume of Elongated Triangular Pyramid: 550 Cubic Meter --> 550 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = ((12*V)/(sqrt(2)+(3*sqrt(3))))^(1/3) --> ((12*550)/(sqrt(2)+(3*sqrt(3))))^(1/3)

Evaluating ... ...

l_e = 9.99477012908201

STEP 3: Convert Result to Output's Unit

9.99477012908201 Meter --> No Conversion Required

FINAL ANSWER

9.99477012908201 ≈ 9.99477 Meter <-- Edge Length of Elongated Triangular Pyramid

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Johnson Solids » Elongated Pyramid » Elongated Triangular Pyramid » Edge Length of Elongated Triangular Pyramid » Edge Length of Elongated Triangular Pyramid given Volume

Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has verified this Calculator and 1100+ more calculators!

< 4 Edge Length of Elongated Triangular Pyramid Calculators

Edge Length of Elongated Triangular Pyramid given Surface to Volume Ratio

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

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

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

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

Edge Length of Elongated Triangular Pyramid given Volume Formula

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

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 Volume?

Edge Length of Elongated Triangular Pyramid given Volume calculator uses Edge Length of Elongated Triangular Pyramid = ((12*Volume of Elongated Triangular Pyramid)/(sqrt(2)+(3*sqrt(3))))^(1/3) to calculate the Edge Length of Elongated Triangular Pyramid, The Edge Length of Elongated Triangular Pyramid given Volume formula is defined as the length of any edge of the Elongated Triangular Pyramid and is calculated using the volume 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 Volume using this online calculator? To use this online calculator for Edge Length of Elongated Triangular Pyramid given Volume, enter Volume of Elongated Triangular Pyramid (V) and hit the calculate button. Here is how the Edge Length of Elongated Triangular Pyramid given Volume calculation can be explained with given input values -> 9.99477 = ((12*550)/(sqrt(2)+(3*sqrt(3))))^(1/3).

FAQ

What is Edge Length of Elongated Triangular Pyramid given Volume?

The Edge Length of Elongated Triangular Pyramid given Volume formula is defined as the length of any edge of the Elongated Triangular Pyramid and is calculated using the volume of the Elongated Triangular Pyramid and is represented as l_e = ((12*V)/(sqrt(2)+(3*sqrt(3))))^(1/3) or Edge Length of Elongated Triangular Pyramid = ((12*Volume of Elongated Triangular Pyramid)/(sqrt(2)+(3*sqrt(3))))^(1/3). Volume of Elongated Triangular Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Elongated Triangular Pyramid.

How to calculate Edge Length of Elongated Triangular Pyramid given Volume?

The Edge Length of Elongated Triangular Pyramid given Volume formula is defined as the length of any edge of the Elongated Triangular Pyramid and is calculated using the volume of the Elongated Triangular Pyramid is calculated using Edge Length of Elongated Triangular Pyramid = ((12*Volume of Elongated Triangular Pyramid)/(sqrt(2)+(3*sqrt(3))))^(1/3). To calculate Edge Length of Elongated Triangular Pyramid given Volume, you need Volume of Elongated Triangular Pyramid (V). With our tool, you need to enter the respective value for Volume 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 Volume 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 = sqrt(Total Surface Area of Elongated Triangular Pyramid/(3+sqrt(3)))
Edge Length of Elongated Triangular Pyramid = (3+sqrt(3))/((sqrt(2)+(3*sqrt(3)))/12*SA:V of Elongated Triangular Pyramid)

Home

FREE PDFs

🔍 Search