Pyramidal Height of Obelisk given Volume and Frustum Height Calculator

✖Volume of Obelisk is the total quantity of three dimensional space enclosed by the surface of the Obelisk.ⓘ Volume of Obelisk [V]			+10% -10%
✖Frustum Height of Obelisk is the vertical distance between the top and bottom square shaped faces of the non pyramidal part of the Obelisk.ⓘ Frustum Height of Obelisk [h_Frustum]			+10% -10%
✖Base Edge Length of Obelisk is the length of any edge of the base square shaped face of the Obelisk.ⓘ Base Edge Length of Obelisk [l_e(Base)]			+10% -10%
✖Transition Edge Length of Obelisk is the length of any edge of the square shaped base of the pyramidal part of the Obelisk.ⓘ Transition Edge Length of Obelisk [l_{e(Transition)}]			+10% -10%

✖Pyramidal Height of Obelisk is the vertical distance from the sharp tip to the base square of the pyramidal part of the Obelisk.ⓘ Pyramidal Height of Obelisk given Volume and Frustum Height [h_Pyramid]

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Formula

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Pyramidal Height of Obelisk given Volume and Frustum Height

Formula

`"h"_{"Pyramid"} = ((3*"V")-("h"_{"Frustum"}*("l"_{"e(Base)"}^2+"l"_{"e(Transition)"}^2+sqrt("l"_{"e(Base)"}^2*"l"_{"e(Transition)"}^2))))/("l"_{"e(Transition)"}^2)`

Example

`"4.9m"=((3*"3330m³")-("20m"*(("15m")^2+("10m")^2+sqrt(("15m")^2*("10m")^2))))/(("10m")^2)`

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Pyramidal Height of Obelisk given Volume and Frustum Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pyramidal Height of Obelisk = ((3*Volume of Obelisk)-(Frustum Height of Obelisk*(Base Edge Length of Obelisk^2+Transition Edge Length of Obelisk^2+sqrt(Base Edge Length of Obelisk^2*Transition Edge Length of Obelisk^2))))/(Transition Edge Length of Obelisk^2)
h_Pyramid = ((3*V)-(h_Frustum*(l_e(Base)^2+l_{e(Transition)}^2+sqrt(l_e(Base)^2*l_{e(Transition)}^2))))/(l_{e(Transition)}^2)
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Pyramidal Height of Obelisk - (Measured in Meter) - Pyramidal Height of Obelisk is the vertical distance from the sharp tip to the base square of the pyramidal part of the Obelisk.
Volume of Obelisk - (Measured in Cubic Meter) - Volume of Obelisk is the total quantity of three dimensional space enclosed by the surface of the Obelisk.
Frustum Height of Obelisk - (Measured in Meter) - Frustum Height of Obelisk is the vertical distance between the top and bottom square shaped faces of the non pyramidal part of the Obelisk.
Base Edge Length of Obelisk - (Measured in Meter) - Base Edge Length of Obelisk is the length of any edge of the base square shaped face of the Obelisk.
Transition Edge Length of Obelisk - (Measured in Meter) - Transition Edge Length of Obelisk is the length of any edge of the square shaped base of the pyramidal part of the Obelisk.

STEP 1: Convert Input(s) to Base Unit

Volume of Obelisk: 3330 Cubic Meter --> 3330 Cubic Meter No Conversion Required
Frustum Height of Obelisk: 20 Meter --> 20 Meter No Conversion Required
Base Edge Length of Obelisk: 15 Meter --> 15 Meter No Conversion Required
Transition Edge Length of Obelisk: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_Pyramid = ((3*V)-(h_Frustum*(l_e(Base)^2+l_{e(Transition)}^2+sqrt(l_e(Base)^2*l_{e(Transition)}^2))))/(l_{e(Transition)}^2) --> ((3*3330)-(20*(15^2+10^2+sqrt(15^2*10^2))))/(10^2)

Evaluating ... ...

h_Pyramid = 4.9

STEP 3: Convert Result to Output's Unit

4.9 Meter --> No Conversion Required

FINAL ANSWER

4.9 Meter <-- Pyramidal Height of Obelisk

(Calculation completed in 00.004 seconds)

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< 4 Height of Obelisk Calculators

Pyramidal Height of Obelisk given Volume and Frustum Height

Go Pyramidal Height of Obelisk = ((3*Volume of Obelisk)-(Frustum Height of Obelisk*(Base Edge Length of Obelisk^2+Transition Edge Length of Obelisk^2+sqrt(Base Edge Length of Obelisk^2*Transition Edge Length of Obelisk^2))))/(Transition Edge Length of Obelisk^2)

Pyramidal Height of Obelisk

Go Pyramidal Height of Obelisk = Height of Obelisk-Frustum Height of Obelisk

Frustum Height of Obelisk

Go Frustum Height of Obelisk = Height of Obelisk-Pyramidal Height of Obelisk

Height of Obelisk

Go Height of Obelisk = Frustum Height of Obelisk+Pyramidal Height of Obelisk

Pyramidal Height of Obelisk given Volume and Frustum Height Formula

What is Obelisk?

An obelisk is a tall, four-sided, narrow tapering monument which ends in a pyramid-like shape or pyramidion at the top. Originally they were called tekhenu by their builders, the Ancient Egyptians.

How to Calculate Pyramidal Height of Obelisk given Volume and Frustum Height?

Pyramidal Height of Obelisk given Volume and Frustum Height calculator uses Pyramidal Height of Obelisk = ((3*Volume of Obelisk)-(Frustum Height of Obelisk*(Base Edge Length of Obelisk^2+Transition Edge Length of Obelisk^2+sqrt(Base Edge Length of Obelisk^2*Transition Edge Length of Obelisk^2))))/(Transition Edge Length of Obelisk^2) to calculate the Pyramidal Height of Obelisk, Pyramidal Height of Obelisk given Volume and Frustum Height formula is defined as the vertical distance from the sharp tip to the base square of the pyramidal part of the Obelisk, calculated using its volume and frustum height. Pyramidal Height of Obelisk is denoted by h_Pyramid symbol.

How to calculate Pyramidal Height of Obelisk given Volume and Frustum Height using this online calculator? To use this online calculator for Pyramidal Height of Obelisk given Volume and Frustum Height, enter Volume of Obelisk (V), Frustum Height of Obelisk (h_Frustum), Base Edge Length of Obelisk (l_e(Base)) & Transition Edge Length of Obelisk (l_{e(Transition)}) and hit the calculate button. Here is how the Pyramidal Height of Obelisk given Volume and Frustum Height calculation can be explained with given input values -> 4.9 = ((3*3330)-(20*(15^2+10^2+sqrt(15^2*10^2))))/(10^2).

FAQ

What is Pyramidal Height of Obelisk given Volume and Frustum Height?

Pyramidal Height of Obelisk given Volume and Frustum Height formula is defined as the vertical distance from the sharp tip to the base square of the pyramidal part of the Obelisk, calculated using its volume and frustum height and is represented as h_Pyramid = ((3*V)-(h_Frustum*(l_e(Base)^2+l_{e(Transition)}^2+sqrt(l_e(Base)^2*l_{e(Transition)}^2))))/(l_{e(Transition)}^2) or Pyramidal Height of Obelisk = ((3*Volume of Obelisk)-(Frustum Height of Obelisk*(Base Edge Length of Obelisk^2+Transition Edge Length of Obelisk^2+sqrt(Base Edge Length of Obelisk^2*Transition Edge Length of Obelisk^2))))/(Transition Edge Length of Obelisk^2). Volume of Obelisk is the total quantity of three dimensional space enclosed by the surface of the Obelisk, Frustum Height of Obelisk is the vertical distance between the top and bottom square shaped faces of the non pyramidal part of the Obelisk, Base Edge Length of Obelisk is the length of any edge of the base square shaped face of the Obelisk & Transition Edge Length of Obelisk is the length of any edge of the square shaped base of the pyramidal part of the Obelisk.

How to calculate Pyramidal Height of Obelisk given Volume and Frustum Height?

Pyramidal Height of Obelisk given Volume and Frustum Height formula is defined as the vertical distance from the sharp tip to the base square of the pyramidal part of the Obelisk, calculated using its volume and frustum height is calculated using Pyramidal Height of Obelisk = ((3*Volume of Obelisk)-(Frustum Height of Obelisk*(Base Edge Length of Obelisk^2+Transition Edge Length of Obelisk^2+sqrt(Base Edge Length of Obelisk^2*Transition Edge Length of Obelisk^2))))/(Transition Edge Length of Obelisk^2). To calculate Pyramidal Height of Obelisk given Volume and Frustum Height, you need Volume of Obelisk (V), Frustum Height of Obelisk (h_Frustum), Base Edge Length of Obelisk (l_e(Base)) & Transition Edge Length of Obelisk (l_{e(Transition)}). With our tool, you need to enter the respective value for Volume of Obelisk, Frustum Height of Obelisk, Base Edge Length of Obelisk & Transition Edge Length of Obelisk 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 Pyramidal Height of Obelisk?

In this formula, Pyramidal Height of Obelisk uses Volume of Obelisk, Frustum Height of Obelisk, Base Edge Length of Obelisk & Transition Edge Length of Obelisk. We can use 1 other way(s) to calculate the same, which is/are as follows -

Pyramidal Height of Obelisk = Height of Obelisk-Frustum Height of Obelisk

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