Edge Length of Elongated Square Pyramid given Volume Calculator

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

+10%

-10%

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

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Johnson Solids Formula PDF PDF Image

Edge Length of Elongated Square Pyramid given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Elongated Square Pyramid = (Volume of Elongated Square Pyramid/(1+sqrt(2)/6))^(1/3)
l_e = (V/(1+sqrt(2)/6))^(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 Square Pyramid - (Measured in Meter) - Edge Length of Elongated Square Pyramid is the length of any edge of the Elongated Square Pyramid.
Volume of Elongated Square Pyramid - (Measured in Cubic Meter) - Volume of Elongated Square Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Elongated Square Pyramid.

STEP 1: Convert Input(s) to Base Unit

Volume of Elongated Square Pyramid: 1200 Cubic Meter --> 1200 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = (V/(1+sqrt(2)/6))^(1/3) --> (1200/(1+sqrt(2)/6))^(1/3)

Evaluating ... ...

l_e = 9.90274969093897

STEP 3: Convert Result to Output's Unit

9.90274969093897 Meter --> No Conversion Required

FINAL ANSWER

9.90274969093897 ≈ 9.90275 Meter <-- Edge Length of Elongated Square Pyramid

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Johnson Solids » Elongated Pyramid » Elongated Square Pyramid » Edge Length of Elongated Square Pyramid » Edge Length of Elongated Square 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 Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 1700+ more calculators!

< Edge Length of Elongated Square Pyramid Calculators

Edge Length of Elongated Square Pyramid given Total Surface Area

LaTeX Go Edge Length of Elongated Square Pyramid = sqrt(Total Surface Area of Elongated Square Pyramid/(5+sqrt(3)))

Edge Length of Elongated Square Pyramid given Surface to Volume Ratio

LaTeX Go Edge Length of Elongated Square Pyramid = (5+sqrt(3))/((1+sqrt(2)/6)*SA:V of Elongated Square Pyramid)

Edge Length of Elongated Square Pyramid given Volume

LaTeX Go Edge Length of Elongated Square Pyramid = (Volume of Elongated Square Pyramid/(1+sqrt(2)/6))^(1/3)

Edge Length of Elongated Square Pyramid given Height

LaTeX Go Edge Length of Elongated Square Pyramid = Height of Elongated Square Pyramid/(1/sqrt(2)+1)

Edge Length of Elongated Square Pyramid given Volume Formula

LaTeX Go

Edge Length of Elongated Square Pyramid = (Volume of Elongated Square Pyramid/(1+sqrt(2)/6))^(1/3)
l_e = (V/(1+sqrt(2)/6))^(1/3)

What is an Elongated Square Pyramid?

The Elongated Square Pyramid is a regular pentahedron with a matching regular cube attached to one face, which is the Johnson solid generally denoted by J8. It consists of 9 faces which include 4 equilateral triangles as pyramid faces, 4 squares as side surfaces, and another square as the base surface. Also, It has 16 edges and 9 vertices.

How to Calculate Edge Length of Elongated Square Pyramid given Volume?

Edge Length of Elongated Square Pyramid given Volume calculator uses Edge Length of Elongated Square Pyramid = (Volume of Elongated Square Pyramid/(1+sqrt(2)/6))^(1/3) to calculate the Edge Length of Elongated Square Pyramid, The Edge Length of Elongated Square Pyramid given Volume formula is defined as the length of any edge of the Elongated Square Pyramid and is calculated using the volume of the Elongated Square Pyramid. Edge Length of Elongated Square Pyramid is denoted by l_e symbol.

How to calculate Edge Length of Elongated Square Pyramid given Volume using this online calculator? To use this online calculator for Edge Length of Elongated Square Pyramid given Volume, enter Volume of Elongated Square Pyramid (V) and hit the calculate button. Here is how the Edge Length of Elongated Square Pyramid given Volume calculation can be explained with given input values -> 9.90275 = (1200/(1+sqrt(2)/6))^(1/3).

FAQ

What is Edge Length of Elongated Square Pyramid given Volume?

The Edge Length of Elongated Square Pyramid given Volume formula is defined as the length of any edge of the Elongated Square Pyramid and is calculated using the volume of the Elongated Square Pyramid and is represented as l_e = (V/(1+sqrt(2)/6))^(1/3) or Edge Length of Elongated Square Pyramid = (Volume of Elongated Square Pyramid/(1+sqrt(2)/6))^(1/3). Volume of Elongated Square Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Elongated Square Pyramid.

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

The Edge Length of Elongated Square Pyramid given Volume formula is defined as the length of any edge of the Elongated Square Pyramid and is calculated using the volume of the Elongated Square Pyramid is calculated using Edge Length of Elongated Square Pyramid = (Volume of Elongated Square Pyramid/(1+sqrt(2)/6))^(1/3). To calculate Edge Length of Elongated Square Pyramid given Volume, you need Volume of Elongated Square Pyramid (V). With our tool, you need to enter the respective value for Volume of Elongated Square 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 Square Pyramid?

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

Edge Length of Elongated Square Pyramid = Height of Elongated Square Pyramid/(1/sqrt(2)+1)
Edge Length of Elongated Square Pyramid = sqrt(Total Surface Area of Elongated Square Pyramid/(5+sqrt(3)))
Edge Length of Elongated Square Pyramid = (5+sqrt(3))/((1+sqrt(2)/6)*SA:V of Elongated Square Pyramid)

Home

FREE PDFs

🔍 Search