Total 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%
✖Missing Height of Hollow Pyramid is the length of the perpendicular from the apex of the removed pyramid to the base of the removed pyramid in the Hollow Pyramid.ⓘ Missing Height of Hollow Pyramid [h_Missing]			+10% -10%

✖Total Height of Hollow Pyramid is the total length of the perpendicular from the apex to the base of the complete pyramid in the Hollow Pyramid.ⓘ Total Height of Hollow Pyramid given Volume [h_Total]

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Total Height of Hollow Pyramid given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total 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)+Missing Height of Hollow Pyramid
h_Total = (12*V*tan(pi/n))/(n*l_e(Base)^2)+h_Missing
This formula uses 1 Constants, 1 Functions, 5 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

Total Height of Hollow Pyramid - (Measured in Meter) - Total Height of Hollow Pyramid is the total length of the perpendicular from the apex to the base of the complete 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.
Missing Height of Hollow Pyramid - (Measured in Meter) - Missing Height of Hollow Pyramid is the length of the perpendicular from the apex of the removed pyramid to the base of the removed pyramid in 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
Missing Height of Hollow Pyramid: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_Total = (12*V*tan(pi/n))/(n*l_e(Base)^2)+h_Missing --> (12*260*tan(pi/4))/(4*10^2)+7

Evaluating ... ...

h_Total = 14.8

STEP 3: Convert Result to Output's Unit

14.8 Meter --> No Conversion Required

FINAL ANSWER

14.8 Meter <-- Total Height of Hollow Pyramid

(Calculation completed in 00.007 seconds)

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< Total Height of Hollow Pyramid Calculators

Total Height of Hollow Pyramid given Volume

LaTeX Go Total 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)+Missing Height of Hollow Pyramid

Total Height of Hollow Pyramid

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

Total 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 Total Height of Hollow Pyramid given Volume?

Total Height of Hollow Pyramid given Volume calculator uses Total 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)+Missing Height of Hollow Pyramid to calculate the Total Height of Hollow Pyramid, Total Height of Hollow Pyramid given Volume formula is defined as the total length of the perpendicular from the apex to the base of the complete pyramid in the Hollow Pyramid and is calculated using the volume of the Hollow Pyramid. Total Height of Hollow Pyramid is denoted by h_Total symbol.

How to calculate Total Height of Hollow Pyramid given Volume using this online calculator? To use this online calculator for Total 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)) & Missing Height of Hollow Pyramid (h_Missing) and hit the calculate button. Here is how the Total Height of Hollow Pyramid given Volume calculation can be explained with given input values -> 14.8 = (12*260*tan(pi/4))/(4*10^2)+7.

FAQ

What is Total Height of Hollow Pyramid given Volume?

Total Height of Hollow Pyramid given Volume formula is defined as the total length of the perpendicular from the apex to the base of the complete pyramid in the Hollow Pyramid and is calculated using the volume of the Hollow Pyramid and is represented as h_Total = (12*V*tan(pi/n))/(n*l_e(Base)^2)+h_Missing or Total 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)+Missing Height of Hollow Pyramid. 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 & Missing Height of Hollow Pyramid is the length of the perpendicular from the apex of the removed pyramid to the base of the removed pyramid in the Hollow Pyramid.

How to calculate Total Height of Hollow Pyramid given Volume?

Total Height of Hollow Pyramid given Volume formula is defined as the total length of the perpendicular from the apex to the base of the complete pyramid in the Hollow Pyramid and is calculated using the volume of the Hollow Pyramid is calculated using Total 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)+Missing Height of Hollow Pyramid. To calculate Total 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)) & Missing Height of Hollow Pyramid (h_Missing). 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 & Missing Height 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 Total Height of Hollow Pyramid?

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

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

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