Volume of Obelisk given Frustum Height and Height of Obelisk Calculator

✖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%
✖Height of Obelisk is the vertical distance from the sharp tip of the pyramidal part to the base square shaped face of the Obelisk.ⓘ Height of Obelisk [h]			+10% -10%

✖Volume of Obelisk is the total quantity of three dimensional space enclosed by the surface of the Obelisk.ⓘ Volume of Obelisk given Frustum Height and Height of Obelisk [V]

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Volume of Obelisk given Frustum Height and Height of Obelisk Solution

STEP 0: Pre-Calculation Summary

Formula Used

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*(Height of Obelisk-Frustum Height of Obelisk)))/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*(h-h_Frustum)))/3
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

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.
Height of Obelisk - (Measured in Meter) - Height of Obelisk is the vertical distance from the sharp tip of the pyramidal part to the base square shaped face of the Obelisk.

STEP 1: Convert Input(s) to Base Unit

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
Height of Obelisk: 25 Meter --> 25 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = ((h_Frustum*(l_e(Base)^2+l_{e(Transition)}^2+sqrt(l_e(Base)^2*l_{e(Transition)}^2)))+(l_{e(Transition)}^2*(h-h_Frustum)))/3 --> ((20*(15^2+10^2+sqrt(15^2*10^2)))+(10^2*(25-20)))/3

Evaluating ... ...

V = 3333.33333333333

STEP 3: Convert Result to Output's Unit

3333.33333333333 Cubic Meter --> No Conversion Required

FINAL ANSWER

3333.33333333333 ≈ 3333.333 Cubic Meter <-- Volume of Obelisk

(Calculation completed in 00.007 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< Volume of Obelisk Calculators

Volume of Obelisk given Pyramidal Height and Height of Obelisk

LaTeX Go Volume of Obelisk = (((Height of Obelisk-Pyramidal 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))/3

Volume of Obelisk given Frustum Height and Height of Obelisk

LaTeX Go 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*(Height of Obelisk-Frustum Height of Obelisk)))/3

Volume of Obelisk

Volume of Obelisk given Frustum Height and Height of Obelisk Formula

LaTeX Go

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 Volume of Obelisk given Frustum Height and Height of Obelisk?

Volume of Obelisk given Frustum Height and Height of Obelisk calculator uses 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*(Height of Obelisk-Frustum Height of Obelisk)))/3 to calculate the Volume of Obelisk, Volume of Obelisk given Frustum Height and Height of Obelisk formula is defined as the total quantity of three dimensional space enclosed by the surface of the Obelisk, calculated using its frustum height and height of Obelisk. Volume of Obelisk is denoted by V symbol.

How to calculate Volume of Obelisk given Frustum Height and Height of Obelisk using this online calculator? To use this online calculator for Volume of Obelisk given Frustum Height and Height of Obelisk, enter Frustum Height of Obelisk (h_Frustum), Base Edge Length of Obelisk (l_e(Base)), Transition Edge Length of Obelisk (l_{e(Transition)}) & Height of Obelisk (h) and hit the calculate button. Here is how the Volume of Obelisk given Frustum Height and Height of Obelisk calculation can be explained with given input values -> 3333.333 = ((20*(15^2+10^2+sqrt(15^2*10^2)))+(10^2*(25-20)))/3.

FAQ

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

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

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

Volume of Obelisk given Frustum Height and Height of Obelisk formula is defined as the total quantity of three dimensional space enclosed by the surface of the Obelisk, calculated using its frustum height and height of Obelisk is calculated using 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*(Height of Obelisk-Frustum Height of Obelisk)))/3. To calculate Volume of Obelisk given Frustum Height and Height of Obelisk, you need Frustum Height of Obelisk (h_Frustum), Base Edge Length of Obelisk (l_e(Base)), Transition Edge Length of Obelisk (l_{e(Transition)}) & Height of Obelisk (h). With our tool, you need to enter the respective value for Frustum Height of Obelisk, Base Edge Length of Obelisk, Transition Edge Length of Obelisk & Height 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 Volume of Obelisk?

In this formula, Volume of Obelisk uses Frustum Height of Obelisk, Base Edge Length of Obelisk, Transition Edge Length of Obelisk & Height of Obelisk. We can use 2 other way(s) to calculate the same, which is/are as follows -

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))/3
Volume of Obelisk = (((Height of Obelisk-Pyramidal 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))/3

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