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Edge length of Elongated Square Bipyramid given height Solution

STEP 0: Pre-Calculation Summary
Formula Used
side = Height/((2/sqrt(2)+1))
S = h/((2/sqrt(2)+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/((2/sqrt(2)+1)) --> 12/((2/sqrt(2)+1))
Evaluating ... ...
S = 4.97056274847714
STEP 3: Convert Result to Output's Unit
4.97056274847714 Meter --> No Conversion Required
FINAL ANSWER
4.97056274847714 Meter <-- Side
(Calculation completed in 00.000 seconds)

4 Edge length of Elongated Square Bipyramid Calculators

Edge length of Elongated Square Bipyramid given surface to volume ratio
side = ((4+2*sqrt(3)))/((1+sqrt(2)/3)*Surface to Volume Ratio) Go
Edge length of Elongated Square Bipyramid given surface area
side = sqrt(Surface Area/((4+2*sqrt(3)))) Go
Edge length of Elongated Square Bipyramid given volume
side = (Volume/((1+sqrt(2)/3)))^(1/3) Go
Edge length of Elongated Square Bipyramid given height
side = Height/((2/sqrt(2)+1)) Go

Edge length of Elongated Square Bipyramid given height Formula

side = Height/((2/sqrt(2)+1))
S = h/((2/sqrt(2)+1))

What is an elongated square bipyramid?

In geometry, the elongated square bipyramid (or elongated octahedron) is one of the Johnson solids (J15). As the name suggests, it can be constructed by elongating an octahedron by inserting a cube between its congruent halves. It has been named the pencil cube or 12-faced pencil cube due to its shape. A Johnson solid is one of 92 strictly convex polyhedra that is composed of regular polygon faces but are not uniform polyhedra (that is, they are not Platonic solids, Archimedean solids, prisms, or antiprisms). They were named by Norman Johnson, who first listed these polyhedra in 1966. A zircon crystal is an example of an elongated square bipyramid.

How to Calculate Edge length of Elongated Square Bipyramid given height?

Edge length of Elongated Square Bipyramid given height calculator uses side = Height/((2/sqrt(2)+1)) to calculate the Side, The Edge length of Elongated Square Bipyramid given height formula is defined as straight line joining two adjacent vertices of elongated square bipyramid , Where, a =elongated square bipyramid edge. Side and is denoted by S symbol.

How to calculate Edge length of Elongated Square Bipyramid given height using this online calculator? To use this online calculator for Edge length of Elongated Square Bipyramid given height, enter Height (h) and hit the calculate button. Here is how the Edge length of Elongated Square Bipyramid given height calculation can be explained with given input values -> 4.970563 = 12/((2/sqrt(2)+1)).

FAQ

What is Edge length of Elongated Square Bipyramid given height?
The Edge length of Elongated Square Bipyramid given height formula is defined as straight line joining two adjacent vertices of elongated square bipyramid , Where, a =elongated square bipyramid edge and is represented as S = h/((2/sqrt(2)+1)) or side = Height/((2/sqrt(2)+1)). Height is the distance between the lowest and highest points of a person standing upright.
How to calculate Edge length of Elongated Square Bipyramid given height?
The Edge length of Elongated Square Bipyramid given height formula is defined as straight line joining two adjacent vertices of elongated square bipyramid , Where, a =elongated square bipyramid edge is calculated using side = Height/((2/sqrt(2)+1)). To calculate Edge length of Elongated Square Bipyramid 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/((2/sqrt(2)+1))
  • side = sqrt(Surface Area/((4+2*sqrt(3))))
  • side = (Volume/((1+sqrt(2)/3)))^(1/3)
  • side = ((4+2*sqrt(3)))/((1+sqrt(2)/3)*Surface to Volume Ratio)
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