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Edge length of Elongated Triangular Pyramid given surface area Solution

STEP 0: Pre-Calculation Summary
Formula Used
side = sqrt(Surface Area/((3+sqrt(3))))
S = sqrt(SA/((3+sqrt(3))))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Surface Area - The surface area of a three-dimensional shape is the sum of all of the surface areas of each of the sides. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Surface Area: 50 Square Meter --> 50 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = sqrt(SA/((3+sqrt(3)))) --> sqrt(50/((3+sqrt(3))))
Evaluating ... ...
S = 3.25057583671868
STEP 3: Convert Result to Output's Unit
3.25057583671868 Meter --> No Conversion Required
FINAL ANSWER
3.25057583671868 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 surface area Formula

side = sqrt(Surface Area/((3+sqrt(3))))
S = sqrt(SA/((3+sqrt(3))))

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 surface area?

Edge length of Elongated Triangular Pyramid given surface area calculator uses side = sqrt(Surface Area/((3+sqrt(3)))) to calculate the Side, The Edge length of Elongated Triangular Pyramid given surface area 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 surface area using this online calculator? To use this online calculator for Edge length of Elongated Triangular Pyramid given surface area, enter Surface Area (SA) and hit the calculate button. Here is how the Edge length of Elongated Triangular Pyramid given surface area calculation can be explained with given input values -> 3.250576 = sqrt(50/((3+sqrt(3)))).

FAQ

What is Edge length of Elongated Triangular Pyramid given surface area?
The Edge length of Elongated Triangular Pyramid given surface area 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 = sqrt(SA/((3+sqrt(3)))) or side = sqrt(Surface Area/((3+sqrt(3)))). The surface area of a three-dimensional shape is the sum of all of the surface areas of each of the sides.
How to calculate Edge length of Elongated Triangular Pyramid given surface area?
The Edge length of Elongated Triangular Pyramid given surface area formula is defined as straight line joining two adjacent vertices of elongated triangular pyramid , Where, a = elongated triangular pyramid edge is calculated using side = sqrt(Surface Area/((3+sqrt(3)))). To calculate Edge length of Elongated Triangular Pyramid given surface area, you need Surface Area (SA). With our tool, you need to enter the respective value for Surface Area 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 Surface Area. 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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