Height of Elongated Square Pyramid Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height of Elongated Square Pyramid = (1/sqrt(2)+1)*Edge Length of Elongated Square Pyramid
h = (1/sqrt(2)+1)*le
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
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.
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.
STEP 1: Convert Input(s) to Base Unit
Edge Length of Elongated Square Pyramid: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = (1/sqrt(2)+1)*le --> (1/sqrt(2)+1)*10
Evaluating ... ...
h = 17.0710678118655
STEP 3: Convert Result to Output's Unit
17.0710678118655 Meter --> No Conversion Required
FINAL ANSWER
17.0710678118655 17.07107 Meter <-- Height of Elongated Square Pyramid
(Calculation completed in 00.004 seconds)

Credits

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St Joseph's College (SJC), Bengaluru
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Indian Institute of Information Technology (IIIT), Bhopal
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4 Height of Elongated Square Pyramid Calculators

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

Height of Elongated Square Pyramid Formula

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

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 Height of Elongated Square Pyramid?

Height of Elongated Square Pyramid calculator uses Height of Elongated Square Pyramid = (1/sqrt(2)+1)*Edge Length of Elongated Square Pyramid to calculate the Height of Elongated Square Pyramid, The Height of Elongated Square Pyramid formula is defined as the vertical distance from the highest point to the lowest point of the Elongated Square Pyramid. Height of Elongated Square Pyramid is denoted by h symbol.

How to calculate Height of Elongated Square Pyramid using this online calculator? To use this online calculator for Height of Elongated Square Pyramid, enter Edge Length of Elongated Square Pyramid (le) and hit the calculate button. Here is how the Height of Elongated Square Pyramid calculation can be explained with given input values -> 17.07107 = (1/sqrt(2)+1)*10.

FAQ

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