Inner Height of Hollow Pyramid given Volume Calculator

✖Volume of Hollow Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Hollow Pyramid.ⓘ Volume of Hollow Pyramid [V]			+10% -10%
✖Number of Base Vertices of Hollow Pyramid are the number of base vertices of a regular Hollow Pyramid.ⓘ Number of Base Vertices of Hollow Pyramid [n]			+10% -10%
✖Edge Length of Base of Hollow Pyramid is the length of the straight line connecting any two adjacent vertices on the base of the Hollow Pyramid.ⓘ Edge Length of Base of Hollow Pyramid [l_e(Base)]			+10% -10%

✖Inner Height of Hollow Pyramid is the length of the perpendicular from the apex of the complete pyramid to the apex of the removed pyramid in the Hollow Pyramid.ⓘ Inner Height of Hollow Pyramid given Volume [h_Inner]

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Inner Height of Hollow Pyramid given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inner Height of Hollow Pyramid = (12*Volume of Hollow Pyramid*tan(pi/Number of Base Vertices of Hollow Pyramid))/(Number of Base Vertices of Hollow Pyramid*Edge Length of Base of Hollow Pyramid^2)
h_Inner = (12*V*tan(pi/n))/(n*l_e(Base)^2)
This formula uses 1 Constants, 1 Functions, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)

Variables Used

Inner Height of Hollow Pyramid - (Measured in Meter) - Inner Height of Hollow Pyramid is the length of the perpendicular from the apex of the complete pyramid to the apex of the removed pyramid in the Hollow Pyramid.
Volume of Hollow Pyramid - (Measured in Cubic Meter) - Volume of Hollow Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Hollow Pyramid.
Number of Base Vertices of Hollow Pyramid - Number of Base Vertices of Hollow Pyramid are the number of base vertices of a regular Hollow Pyramid.
Edge Length of Base of Hollow Pyramid - (Measured in Meter) - Edge Length of Base of Hollow Pyramid is the length of the straight line connecting any two adjacent vertices on the base of the Hollow Pyramid.

STEP 1: Convert Input(s) to Base Unit

Volume of Hollow Pyramid: 260 Cubic Meter --> 260 Cubic Meter No Conversion Required
Number of Base Vertices of Hollow Pyramid: 4 --> No Conversion Required
Edge Length of Base of Hollow Pyramid: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_Inner = (12*V*tan(pi/n))/(n*l_e(Base)^2) --> (12*260*tan(pi/4))/(4*10^2)

Evaluating ... ...

h_Inner = 7.8

STEP 3: Convert Result to Output's Unit

7.8 Meter --> No Conversion Required

FINAL ANSWER

7.8 Meter <-- Inner Height of Hollow Pyramid

(Calculation completed in 00.020 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< Inner Height of Hollow Pyramid Calculators

Inner Height of Hollow Pyramid given Volume

LaTeX Go Inner Height of Hollow Pyramid = (12*Volume of Hollow Pyramid*tan(pi/Number of Base Vertices of Hollow Pyramid))/(Number of Base Vertices of Hollow Pyramid*Edge Length of Base of Hollow Pyramid^2)

Inner Height of Hollow Pyramid

LaTeX Go Inner Height of Hollow Pyramid = Total Height of Hollow Pyramid-Missing Height of Hollow Pyramid

Inner Height of Hollow Pyramid given Volume Formula

LaTeX Go

What is a Hollow Pyramid?

A Hollow Pyramid is a regular pyramid, of which another regular pyramid with the same base and lesser height is removed at its base and is concave. An N-sided polygon as the base of the pyramid, It has 2N isosceles triangular faces. Also, It has N+2 vertices and 3N edges.

How to Calculate Inner Height of Hollow Pyramid given Volume?

Inner Height of Hollow Pyramid given Volume calculator uses Inner Height of Hollow Pyramid = (12*Volume of Hollow Pyramid*tan(pi/Number of Base Vertices of Hollow Pyramid))/(Number of Base Vertices of Hollow Pyramid*Edge Length of Base of Hollow Pyramid^2) to calculate the Inner Height of Hollow Pyramid, Inner Height of Hollow Pyramid given Volume formula is defined as the length of the perpendicular from the apex of the complete pyramid to the apex of the removed pyramid in the Hollow Pyramid and is calculated using the volume of the Hollow Pyramid. Inner Height of Hollow Pyramid is denoted by h_Inner symbol.

How to calculate Inner Height of Hollow Pyramid given Volume using this online calculator? To use this online calculator for Inner Height of Hollow Pyramid given Volume, enter Volume of Hollow Pyramid (V), Number of Base Vertices of Hollow Pyramid (n) & Edge Length of Base of Hollow Pyramid (l_e(Base)) and hit the calculate button. Here is how the Inner Height of Hollow Pyramid given Volume calculation can be explained with given input values -> 7.8 = (12*260*tan(pi/4))/(4*10^2).

FAQ

What is Inner Height of Hollow Pyramid given Volume?

Inner Height of Hollow Pyramid given Volume formula is defined as the length of the perpendicular from the apex of the complete pyramid to the apex of the removed pyramid in the Hollow Pyramid and is calculated using the volume of the Hollow Pyramid and is represented as h_Inner = (12*V*tan(pi/n))/(n*l_e(Base)^2) or Inner Height of Hollow Pyramid = (12*Volume of Hollow Pyramid*tan(pi/Number of Base Vertices of Hollow Pyramid))/(Number of Base Vertices of Hollow Pyramid*Edge Length of Base of Hollow Pyramid^2). Volume of Hollow Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Hollow Pyramid, Number of Base Vertices of Hollow Pyramid are the number of base vertices of a regular Hollow Pyramid & Edge Length of Base of Hollow Pyramid is the length of the straight line connecting any two adjacent vertices on the base of the Hollow Pyramid.

How to calculate Inner Height of Hollow Pyramid given Volume?

Inner Height of Hollow Pyramid given Volume formula is defined as the length of the perpendicular from the apex of the complete pyramid to the apex of the removed pyramid in the Hollow Pyramid and is calculated using the volume of the Hollow Pyramid is calculated using Inner Height of Hollow Pyramid = (12*Volume of Hollow Pyramid*tan(pi/Number of Base Vertices of Hollow Pyramid))/(Number of Base Vertices of Hollow Pyramid*Edge Length of Base of Hollow Pyramid^2). To calculate Inner Height of Hollow Pyramid given Volume, you need Volume of Hollow Pyramid (V), Number of Base Vertices of Hollow Pyramid (n) & Edge Length of Base of Hollow Pyramid (l_e(Base)). With our tool, you need to enter the respective value for Volume of Hollow Pyramid, Number of Base Vertices of Hollow Pyramid & Edge Length of Base of Hollow Pyramid 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 Inner Height of Hollow Pyramid?

In this formula, Inner Height of Hollow Pyramid uses Volume of Hollow Pyramid, Number of Base Vertices of Hollow Pyramid & Edge Length of Base of Hollow Pyramid. We can use 1 other way(s) to calculate the same, which is/are as follows -

Inner Height of Hollow Pyramid = Total Height of Hollow Pyramid-Missing Height of Hollow Pyramid

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