Edge Length of Equilateral Square Pyramid given Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Edge Length of Equilateral Square Pyramid = Height of Equilateral Square Pyramid*sqrt(2)
le = h*sqrt(2)
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 Equilateral Square Pyramid - (Measured in Meter) - Edge Length of Equilateral Square Pyramid is the length of the straight line connecting any two adjacent points of the Equilateral Square Pyramid.
Height of Equilateral Square Pyramid - (Measured in Meter) - Height of Equilateral Square Pyramid is the length of the perpendicular from the apex to the base of the Equilateral Square Pyramid.
STEP 1: Convert Input(s) to Base Unit
Height of Equilateral Square Pyramid: 7 Meter --> 7 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
le = h*sqrt(2) --> 7*sqrt(2)
Evaluating ... ...
le = 9.89949493661167
STEP 3: Convert Result to Output's Unit
9.89949493661167 Meter --> No Conversion Required
FINAL ANSWER
9.89949493661167 9.899495 Meter <-- Edge Length of Equilateral Square Pyramid
(Calculation completed in 00.020 seconds)

Credits

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Created by Surjojoti Som
Rashtreeya Vidyalaya College of Engineering (RVCE), Bangalore
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Verified by Harsh Raj
Indian Institute of Technology, Kharagpur (IIT KGP), West Bengal
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10+ Equilateral Square Pyramid Calculators

Volume of Equilateral Square Pyramid given Surface Area
​ Go Volume of Equilateral Square Pyramid = (sqrt(2)/6)*(Total Surface Area of Equilateral Square Pyramid/(1+sqrt(3)))^(3/2)
Height of Equilateral Pyramid given TSA
​ Go Height of Equilateral Square Pyramid = (1/sqrt(2))*(Total Surface Area of Equilateral Square Pyramid/(1+sqrt(3)))^(1/2)
Edge Length of Equilateral Square Pyramid given Surface Area
​ Go Edge Length of Equilateral Square Pyramid = (Total Surface Area of Equilateral Square Pyramid/(1+sqrt(3)))^(1/2)
Total Surface Area of Equilateral Square Pyramid
​ Go Total Surface Area of Equilateral Square Pyramid = (1+sqrt(3))*Edge Length of Equilateral Square Pyramid^2
Edge Length of Equilateral Square Pyramid given Volume
​ Go Edge Length of Equilateral Square Pyramid = ((6*Volume of Equilateral Square Pyramid)/sqrt(2))^(1/3)
Volume of Equilateral Square Pyramid
​ Go Volume of Equilateral Square Pyramid = sqrt(2)/6*Edge Length of Equilateral Square Pyramid^3
Edge Length of Equilateral Square Pyramid given Height
​ Go Edge Length of Equilateral Square Pyramid = Height of Equilateral Square Pyramid*sqrt(2)
Height of Equilateral Square Pyramid
​ Go Height of Equilateral Square Pyramid = Edge Length of Equilateral Square Pyramid/sqrt(2)
Height of Equilateral Square Pyramid given Volume
​ Go Height of Equilateral Square Pyramid = ((3*Volume of Equilateral Square Pyramid)/3)^(1/3)
Volume of Equilateral Square Pyramid given Height
​ Go Volume of Equilateral Square Pyramid = (2/3)*Height of Equilateral Square Pyramid^3

Edge Length of Equilateral Square Pyramid given Height Formula

Edge Length of Equilateral Square Pyramid = Height of Equilateral Square Pyramid*sqrt(2)
le = h*sqrt(2)

What is an Equilateral Square Pyramid?

An Equilateral Square Pyramid is a pyramid with a square base and four equilateral triangular faces that intersect at a point in geometry (the apex). It has 5 faces, which include 4 equilateral triangular faces and a square base. Also, It has 5 vertices and 8 edges. It is a square pyramid whose lateral faces are equilateral triangles, which implies all the edges of are of equal length.

How to Calculate Edge Length of Equilateral Square Pyramid given Height?

Edge Length of Equilateral Square Pyramid given Height calculator uses Edge Length of Equilateral Square Pyramid = Height of Equilateral Square Pyramid*sqrt(2) to calculate the Edge Length of Equilateral Square Pyramid, The Edge Length of Equilateral Square Pyramid given Height formula is defined as the length of the straight line connecting any two adjacent points of the Equilateral Square Pyramid using the height of the equilateral square pyramid. Edge Length of Equilateral Square Pyramid is denoted by le symbol.

How to calculate Edge Length of Equilateral Square Pyramid given Height using this online calculator? To use this online calculator for Edge Length of Equilateral Square Pyramid given Height, enter Height of Equilateral Square Pyramid (h) and hit the calculate button. Here is how the Edge Length of Equilateral Square Pyramid given Height calculation can be explained with given input values -> 9.899495 = 7*sqrt(2).

FAQ

What is Edge Length of Equilateral Square Pyramid given Height?
The Edge Length of Equilateral Square Pyramid given Height formula is defined as the length of the straight line connecting any two adjacent points of the Equilateral Square Pyramid using the height of the equilateral square pyramid and is represented as le = h*sqrt(2) or Edge Length of Equilateral Square Pyramid = Height of Equilateral Square Pyramid*sqrt(2). Height of Equilateral Square Pyramid is the length of the perpendicular from the apex to the base of the Equilateral Square Pyramid.
How to calculate Edge Length of Equilateral Square Pyramid given Height?
The Edge Length of Equilateral Square Pyramid given Height formula is defined as the length of the straight line connecting any two adjacent points of the Equilateral Square Pyramid using the height of the equilateral square pyramid is calculated using Edge Length of Equilateral Square Pyramid = Height of Equilateral Square Pyramid*sqrt(2). To calculate Edge Length of Equilateral Square Pyramid given Height, you need Height of Equilateral Square Pyramid (h). With our tool, you need to enter the respective value for Height of Equilateral 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 Equilateral Square Pyramid?
In this formula, Edge Length of Equilateral Square Pyramid uses Height of Equilateral Square Pyramid. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Edge Length of Equilateral Square Pyramid = ((6*Volume of Equilateral Square Pyramid)/sqrt(2))^(1/3)
  • Edge Length of Equilateral Square Pyramid = (Total Surface Area of Equilateral Square Pyramid/(1+sqrt(3)))^(1/2)
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