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Edge length of Elongated Square Bipyramid given surface area Solution

STEP 0: Pre-Calculation Summary
Formula Used
side = sqrt(Surface Area/((4+2*sqrt(3))))
S = sqrt(SA/((4+2*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/((4+2*sqrt(3)))) --> sqrt(50/((4+2*sqrt(3))))
Evaluating ... ...
S = 2.58819045102521
STEP 3: Convert Result to Output's Unit
2.58819045102521 Meter --> No Conversion Required
FINAL ANSWER
2.58819045102521 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 surface area Formula

side = sqrt(Surface Area/((4+2*sqrt(3))))
S = sqrt(SA/((4+2*sqrt(3))))

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 surface area?

Edge length of Elongated Square Bipyramid given surface area calculator uses side = sqrt(Surface Area/((4+2*sqrt(3)))) to calculate the Side, The Edge length of Elongated Square Bipyramid given surface area 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 surface area using this online calculator? To use this online calculator for Edge length of Elongated Square Bipyramid given surface area, enter Surface Area (SA) and hit the calculate button. Here is how the Edge length of Elongated Square Bipyramid given surface area calculation can be explained with given input values -> 2.58819 = sqrt(50/((4+2*sqrt(3)))).

FAQ

What is Edge length of Elongated Square Bipyramid given surface area?
The Edge length of Elongated Square Bipyramid given surface area 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 = sqrt(SA/((4+2*sqrt(3)))) or side = sqrt(Surface Area/((4+2*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 Square Bipyramid given surface area?
The Edge length of Elongated Square Bipyramid given surface area formula is defined as straight line joining two adjacent vertices of elongated square bipyramid , Where, a =elongated square bipyramid edge is calculated using side = sqrt(Surface Area/((4+2*sqrt(3)))). To calculate Edge length of Elongated Square Bipyramid 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/((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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