Volume of Hollow Pyramid Calculator

✖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%
✖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 [h_Inner]			+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%

✖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]

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Volume of Hollow Pyramid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Hollow Pyramid = (1/3*Number of Base Vertices of Hollow Pyramid*Inner Height of Hollow Pyramid*Edge Length of Base of Hollow Pyramid^2)/(4*tan(pi/Number of Base Vertices of Hollow Pyramid))
V = (1/3*n*h_Inner*l_e(Base)^2)/(4*tan(pi/n))
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

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.
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.
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

Number of Base Vertices of Hollow Pyramid: 4 --> No Conversion Required
Inner Height of Hollow Pyramid: 8 Meter --> 8 Meter 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

V = (1/3*n*h_Inner*l_e(Base)^2)/(4*tan(pi/n)) --> (1/3*4*8*10^2)/(4*tan(pi/4))

Evaluating ... ...

V = 266.666666666667

STEP 3: Convert Result to Output's Unit

266.666666666667 Cubic Meter --> No Conversion Required

FINAL ANSWER

266.666666666667 ≈ 266.6667 Cubic Meter <-- Volume of Hollow Pyramid

(Calculation completed in 00.008 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Indian Institute of Information Technology (IIIT), Bhopal

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< Volume of Hollow Pyramid Calculators

Volume of Hollow Pyramid given Total Height and Missing Height

LaTeX Go Volume of Hollow Pyramid = (1/3*Number of Base Vertices of Hollow Pyramid*(Total Height of Hollow Pyramid-Missing Height of Hollow Pyramid)*Edge Length of Base of Hollow Pyramid^2)/(4*tan(pi/Number of Base Vertices of Hollow Pyramid))

Volume of Hollow Pyramid

LaTeX Go Volume of Hollow Pyramid = (1/3*Number of Base Vertices of Hollow Pyramid*Inner Height of Hollow Pyramid*Edge Length of Base of Hollow Pyramid^2)/(4*tan(pi/Number of Base Vertices of Hollow Pyramid))

Volume of Hollow Pyramid Formula

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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 Volume of Hollow Pyramid?

Volume of Hollow Pyramid calculator uses Volume of Hollow Pyramid = (1/3*Number of Base Vertices of Hollow Pyramid*Inner Height of Hollow Pyramid*Edge Length of Base of Hollow Pyramid^2)/(4*tan(pi/Number of Base Vertices of Hollow Pyramid)) to calculate the Volume of Hollow Pyramid, The Volume of Hollow Pyramid formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Hollow Pyramid. Volume of Hollow Pyramid is denoted by V symbol.

How to calculate Volume of Hollow Pyramid using this online calculator? To use this online calculator for Volume of Hollow Pyramid, enter Number of Base Vertices of Hollow Pyramid (n), Inner Height of Hollow Pyramid (h_Inner) & Edge Length of Base of Hollow Pyramid (l_e(Base)) and hit the calculate button. Here is how the Volume of Hollow Pyramid calculation can be explained with given input values -> 266.6667 = (1/3*4*8*10^2)/(4*tan(pi/4)).

FAQ

What is Volume of Hollow Pyramid?

The Volume of Hollow Pyramid formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Hollow Pyramid and is represented as V = (1/3*n*h_Inner*l_e(Base)^2)/(4*tan(pi/n)) or Volume of Hollow Pyramid = (1/3*Number of Base Vertices of Hollow Pyramid*Inner Height of Hollow Pyramid*Edge Length of Base of Hollow Pyramid^2)/(4*tan(pi/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, 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 & 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 Volume of Hollow Pyramid?

The Volume of Hollow Pyramid formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Hollow Pyramid is calculated using Volume of Hollow Pyramid = (1/3*Number of Base Vertices of Hollow Pyramid*Inner Height of Hollow Pyramid*Edge Length of Base of Hollow Pyramid^2)/(4*tan(pi/Number of Base Vertices of Hollow Pyramid)). To calculate Volume of Hollow Pyramid, you need Number of Base Vertices of Hollow Pyramid (n), Inner Height of Hollow Pyramid (h_Inner) & Edge Length of Base of Hollow Pyramid (l_e(Base)). With our tool, you need to enter the respective value for Number of Base Vertices of Hollow Pyramid, Inner Height 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 Volume of Hollow Pyramid?

In this formula, Volume of Hollow Pyramid uses Number of Base Vertices of Hollow Pyramid, Inner Height 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 -

Volume of Hollow Pyramid = (1/3*Number of Base Vertices of Hollow Pyramid*(Total Height of Hollow Pyramid-Missing Height of Hollow Pyramid)*Edge Length of Base of Hollow Pyramid^2)/(4*tan(pi/Number of Base Vertices of Hollow Pyramid))

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