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Edge length n gon of Hollow Pyramid Solution

STEP 0: Pre-Calculation Summary
Formula Used
side = sqrt((3*Volume*4*tan(pi/Base vertices))/(Base vertices*Inner Height))
S = sqrt((3*V*4*tan(pi/n))/(n*hInner))
This formula uses 1 Constants, 2 Functions, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
tan - Trigonometric tangent function, tan(Angle)
sqrt - Squre root function, sqrt(Number)
Variables Used
Volume - Volume is the amount of space that a substance or object occupies or that is enclosed within a container. (Measured in Cubic Meter)
Base vertices - Base vertices is the number of base vertices of Regular Bipyramid. (Measured in Hundred)
Inner Height - Inner Height is the measurement of the inner side of a shape/object from its head to foot or from base to top. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Volume: 63 Cubic Meter --> 63 Cubic Meter No Conversion Required
Base vertices: 4 Hundred --> 4 Hundred No Conversion Required
Inner Height: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = sqrt((3*V*4*tan(pi/n))/(n*hInner)) --> sqrt((3*63*4*tan(pi/4))/(4*5))
Evaluating ... ...
S = 6.14817045957576
STEP 3: Convert Result to Output's Unit
6.14817045957576 Meter --> No Conversion Required
FINAL ANSWER
6.14817045957576 Meter <-- Side
(Calculation completed in 00.000 seconds)

6 Edge and Height of Hollow Pyramid Calculators

Total height of Hollow Pyramid given volume
height = ((3*Volume*4*(tan(pi/Base vertices)))/(Base vertices*Side^2)) +Missing Height Go
Edge length n gon of Hollow Pyramid
side = sqrt((3*Volume*4*tan(pi/Base vertices))/(Base vertices*Inner Height)) Go
Inner height of Hollow Pyramid given volume
inner_height = ((3*Volume*4*(tan(pi/Base vertices)))/(Base vertices*Side^2)) Go
Missing height of Hollow Pyramid
missing_height = Height-Inner Height Go
Total height of Hollow Pyramid
height = Inner Height+Missing Height Go
Inner height of Hollow Pyramid
inner_height = Height-Missing Height Go

Edge length n gon of Hollow Pyramid Formula

side = sqrt((3*Volume*4*tan(pi/Base vertices))/(Base vertices*Inner Height))
S = sqrt((3*V*4*tan(pi/n))/(n*hInner))

What is Pyramid?

A pyramid is a structure whose outer surfaces are triangular and converge to a single step at the top, making the shape roughly a pyramid in the geometric sense. The base of a pyramid can be trilateral, quadrilateral, or of any polygon shape. As such, a pyramid has at least three outer triangular surfaces.

How to Calculate Edge length n gon of Hollow Pyramid?

Edge length n gon of Hollow Pyramid calculator uses side = sqrt((3*Volume*4*tan(pi/Base vertices))/(Base vertices*Inner Height)) to calculate the Side, The Edge length n gon of Hollow Pyramid formula is defined as a straight line connecting two adjacent vertices of n-gon of Hollow Pyramid. Side and is denoted by S symbol.

How to calculate Edge length n gon of Hollow Pyramid using this online calculator? To use this online calculator for Edge length n gon of Hollow Pyramid, enter Volume (V), Base vertices (n) & Inner Height (hInner) and hit the calculate button. Here is how the Edge length n gon of Hollow Pyramid calculation can be explained with given input values -> 6.14817 = sqrt((3*63*4*tan(pi/4))/(4*5)).

FAQ

What is Edge length n gon of Hollow Pyramid?
The Edge length n gon of Hollow Pyramid formula is defined as a straight line connecting two adjacent vertices of n-gon of Hollow Pyramid and is represented as S = sqrt((3*V*4*tan(pi/n))/(n*hInner)) or side = sqrt((3*Volume*4*tan(pi/Base vertices))/(Base vertices*Inner Height)). Volume is the amount of space that a substance or object occupies or that is enclosed within a container, Base vertices is the number of base vertices of Regular Bipyramid & Inner Height is the measurement of the inner side of a shape/object from its head to foot or from base to top.
How to calculate Edge length n gon of Hollow Pyramid?
The Edge length n gon of Hollow Pyramid formula is defined as a straight line connecting two adjacent vertices of n-gon of Hollow Pyramid is calculated using side = sqrt((3*Volume*4*tan(pi/Base vertices))/(Base vertices*Inner Height)). To calculate Edge length n gon of Hollow Pyramid, you need Volume (V), Base vertices (n) & Inner Height (hInner). With our tool, you need to enter the respective value for Volume, Base vertices & Inner 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 Volume, Base vertices & Inner Height. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • height = Inner Height+Missing Height
  • inner_height = Height-Missing Height
  • missing_height = Height-Inner Height
  • inner_height = ((3*Volume*4*(tan(pi/Base vertices)))/(Base vertices*Side^2))
  • height = ((3*Volume*4*(tan(pi/Base vertices)))/(Base vertices*Side^2)) +Missing Height
  • side = sqrt((3*Volume*4*tan(pi/Base vertices))/(Base vertices*Inner Height))
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