Edge Length of Elongated Square Pyramid given Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Edge Length of Elongated Square Pyramid = Height of Elongated Square Pyramid/(1/sqrt(2)+1)
le = h/(1/sqrt(2)+1)
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.
Height of Elongated Square Pyramid - (Measured in Meter) - Height of Elongated Square Pyramid is the vertical distance from the highest point to the lowest point of the Elongated Square Pyramid.
STEP 1: Convert Input(s) to Base Unit
Height of Elongated Square Pyramid: 17 Meter --> 17 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
le = h/(1/sqrt(2)+1) --> 17/(1/sqrt(2)+1)
Evaluating ... ...
le = 9.95836943965739
STEP 3: Convert Result to Output's Unit
9.95836943965739 Meter --> No Conversion Required
FINAL ANSWER
9.95836943965739 9.958369 Meter <-- Edge Length of Elongated Square Pyramid
(Calculation completed in 00.004 seconds)

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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 Height Formula

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

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 Height?

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

How to calculate Edge Length of Elongated Square Pyramid given Height using this online calculator? To use this online calculator for Edge Length of Elongated Square Pyramid given Height, enter Height of Elongated Square Pyramid (h) and hit the calculate button. Here is how the Edge Length of Elongated Square Pyramid given Height calculation can be explained with given input values -> 9.958369 = 17/(1/sqrt(2)+1).

FAQ

What is Edge Length of Elongated Square Pyramid given Height?
The Edge Length of Elongated Square Pyramid given Height formula is defined as the length of any edge of the Elongated Square Pyramid and is calculated using the height of the Elongated Square Pyramid and is represented as le = h/(1/sqrt(2)+1) or Edge Length of Elongated Square Pyramid = Height of Elongated Square Pyramid/(1/sqrt(2)+1). Height of Elongated Square Pyramid is the vertical distance from the highest point to the lowest point of the Elongated Square Pyramid.
How to calculate Edge Length of Elongated Square Pyramid given Height?
The Edge Length of Elongated Square Pyramid given Height formula is defined as the length of any edge of the Elongated Square Pyramid and is calculated using the height of the Elongated Square Pyramid is calculated using Edge Length of Elongated Square Pyramid = Height of Elongated Square Pyramid/(1/sqrt(2)+1). To calculate Edge Length of Elongated Square Pyramid given Height, you need Height of Elongated Square Pyramid (h). With our tool, you need to enter the respective value for Height 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 Height 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 = sqrt(Total Surface Area of Elongated Square Pyramid/(5+sqrt(3)))
  • Edge Length of Elongated Square Pyramid = (Volume of Elongated Square Pyramid/(1+sqrt(2)/6))^(1/3)
  • Edge Length of Elongated Square Pyramid = (5+sqrt(3))/((1+sqrt(2)/6)*SA:V of Elongated Square Pyramid)
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