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Edge length of Elongated Triangular Pyramid given height Solution

STEP 0: Pre-Calculation Summary
Formula Used
side = Height/((sqrt(6)/3+1))
S = h/((sqrt(6)/3+1))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Height - Height is the distance between the lowest and highest points of a person standing upright. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Height: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = h/((sqrt(6)/3+1)) --> 12/((sqrt(6)/3+1))
Evaluating ... ...
S = 6.60612308660186
STEP 3: Convert Result to Output's Unit
6.60612308660186 Meter --> No Conversion Required
FINAL ANSWER
6.60612308660186 Meter <-- Side
(Calculation completed in 00.000 seconds)

4 Edge length of Elongated Triangular Pyramid Calculators

Edge length of Elongated Triangular Pyramid given surface to volume ratio
side = ((3+sqrt(3)))/(((sqrt(2)+3*sqrt(3))/12)*Surface to Volume Ratio) Go
Edge length of Elongated Triangular Pyramid given volume
side = ((12*Volume)/((sqrt(2)+3*sqrt(3))))^(1/3) Go
Edge length of Elongated Triangular Pyramid given surface area
side = sqrt(Surface Area/((3+sqrt(3)))) Go
Edge length of Elongated Triangular Pyramid given height
side = Height/((sqrt(6)/3+1)) Go

Edge length of Elongated Triangular Pyramid given height Formula

side = Height/((sqrt(6)/3+1))
S = h/((sqrt(6)/3+1))

What is an elongated pyramid?

In geometry, the elongated pyramids are an infinite set of polyhedra, constructed by adjoining an n-gonal pyramid to an n-gonal prism. Along with the set of pyramids, these figures are topologically self-dual. There are three elongated pyramids that are Johnson solids made from regular triangles and square, and pentagons. Higher forms can be constructed with isosceles triangles.

How to Calculate Edge length of Elongated Triangular Pyramid given height?

Edge length of Elongated Triangular Pyramid given height calculator uses side = Height/((sqrt(6)/3+1)) to calculate the Side, The Edge length of Elongated Triangular Pyramid given height formula is defined as straight line joining two adjacent vertices of elongated triangular pyramid , Where, a = elongated triangular pyramid edge. Side and is denoted by S symbol.

How to calculate Edge length of Elongated Triangular Pyramid given height using this online calculator? To use this online calculator for Edge length of Elongated Triangular Pyramid given height, enter Height (h) and hit the calculate button. Here is how the Edge length of Elongated Triangular Pyramid given height calculation can be explained with given input values -> 6.606123 = 12/((sqrt(6)/3+1)).

FAQ

What is Edge length of Elongated Triangular Pyramid given height?
The Edge length of Elongated Triangular Pyramid given height formula is defined as straight line joining two adjacent vertices of elongated triangular pyramid , Where, a = elongated triangular pyramid edge and is represented as S = h/((sqrt(6)/3+1)) or side = Height/((sqrt(6)/3+1)). Height is the distance between the lowest and highest points of a person standing upright.
How to calculate Edge length of Elongated Triangular Pyramid given height?
The Edge length of Elongated Triangular Pyramid given height formula is defined as straight line joining two adjacent vertices of elongated triangular pyramid , Where, a = elongated triangular pyramid edge is calculated using side = Height/((sqrt(6)/3+1)). To calculate Edge length of Elongated Triangular Pyramid given height, you need Height (h). With our tool, you need to enter the respective value for Height 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 Side?
In this formula, Side uses Height. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • side = Height/((sqrt(6)/3+1))
  • side = sqrt(Surface Area/((3+sqrt(3))))
  • side = ((12*Volume)/((sqrt(2)+3*sqrt(3))))^(1/3)
  • side = ((3+sqrt(3)))/(((sqrt(2)+3*sqrt(3))/12)*Surface to Volume Ratio)
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