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Volume of Obelisk Formula

GoVolume of Obelisk given Pyramidal Height and Height of Obelisk Formula

GoVolume of Obelisk given Frustum Height and Height of Obelisk Formula

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Volume of Obelisk is the total quantity of three dimensional space enclosed by the surface of the Obelisk. Check FAQs

V = \frac{(h Frustum \cdot ({l e(Base)}^{2} + {l e(Transition)}^{2} + \sqrt{{l e(Base)}^{2} \cdot {l e(Transition)}^{2}})) + ({l e(Transition)}^{2} \cdot h Pyramid)}{3}

V - Volume of Obelisk?h_Frustum - Frustum Height of Obelisk?l_e(Base) - Base Edge Length of Obelisk?l_{e(Transition)} - Transition Edge Length of Obelisk?h_Pyramid - Pyramidal Height of Obelisk?

Volume of Obelisk Example

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Here is how the Volume of Obelisk equation looks like with Values.

Here is how the Volume of Obelisk equation looks like with Units.

Here is how the Volume of Obelisk equation looks like.

3333.3333 = \frac{(20 \cdot (15^{2} + 10^{2} + \sqrt{15^{2} \cdot 10^{2}})) + (10^{2} \cdot 5)}{3}

3333.3333m³ = \frac{(20m \cdot ({15m}^{2} + {10m}^{2} + \sqrt{{15m}^{2} \cdot {10m}^{2}})) + ({10m}^{2} \cdot 5m)}{3}

3333.3333 = \frac{(20 \cdot (15^{2} + 10^{2} + \sqrt{15^{2} \cdot 10^{2}})) + (10^{2} \cdot 5)}{3}

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Volume of Obelisk Solution

Follow our step by step solution on how to calculate Volume of Obelisk?

FIRST Step Consider the formula

V = \frac{(h Frustum \cdot ({l e(Base)}^{2} + {l e(Transition)}^{2} + \sqrt{{l e(Base)}^{2} \cdot {l e(Transition)}^{2}})) + ({l e(Transition)}^{2} \cdot h Pyramid)}{3}

Next Step Substitute values of Variables

∴

V = \frac{(20m \cdot ({15m}^{2} + {10m}^{2} + \sqrt{{15m}^{2} \cdot {10m}^{2}})) + ({10m}^{2} \cdot 5m)}{3}

Next Step Prepare to Evaluate

∴

V = \frac{(20 \cdot (15^{2} + 10^{2} + \sqrt{15^{2} \cdot 10^{2}})) + (10^{2} \cdot 5)}{3}

Next Step Evaluate

∴

V = 3333.33333333333m³

LAST Step Rounding Answer

∴

V = 3333.3333m³

Volume of Obelisk Formula Elements

Variables

Functions

Volume of Obelisk

Volume of Obelisk is the total quantity of three dimensional space enclosed by the surface of the Obelisk.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Obelisk

Frustum Height of 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.

Symbol: h_Frustum

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Frustum Height of Obelisk

Base Edge Length of Obelisk

Base Edge Length of Obelisk is the length of any edge of the base square shaped face of the Obelisk.

Symbol: l_e(Base)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Edge Length of Obelisk

Transition Edge Length of Obelisk

Transition Edge Length of Obelisk is the length of any edge of the square shaped base of the pyramidal part of the Obelisk.

Symbol: l_{e(Transition)}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Transition Edge Length of Obelisk

Pyramidal Height of Obelisk

Pyramidal Height of Obelisk is the vertical distance from the sharp tip to the base square of the pyramidal part of the Obelisk.

Symbol: h_Pyramid

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pyramidal Height of Obelisk

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.

Syntax: sqrt(Number)

Other Formulas to find Volume of Obelisk

Go Volume of Obelisk given Pyramidal Height and Height of Obelisk

V = \frac{((h - h Pyramid) \cdot ({l e(Base)}^{2} + {l e(Transition)}^{2} + \sqrt{{l e(Base)}^{2} \cdot {l e(Transition)}^{2}})) + ({l e(Transition)}^{2} \cdot h Pyramid)}{3}

Go Volume of Obelisk given Frustum Height and Height of Obelisk

V = \frac{(h Frustum \cdot ({l e(Base)}^{2} + {l e(Transition)}^{2} + \sqrt{{l e(Base)}^{2} \cdot {l e(Transition)}^{2}})) + ({l e(Transition)}^{2} \cdot (h - h Frustum))}{3}

How to Evaluate Volume of Obelisk?

Volume of Obelisk evaluator 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*Pyramidal Height of Obelisk))/3 to evaluate the Volume of Obelisk, Volume of Obelisk formula is defined as the total quantity of three dimensional space enclosed by the surface of the Obelisk. Volume of Obelisk is denoted by V symbol.

How to evaluate Volume of Obelisk using this online evaluator? To use this online evaluator for Volume 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)}) & Pyramidal Height of Obelisk (h_Pyramid) and hit the calculate button.

FAQs on Volume of Obelisk

What is the formula to find Volume of Obelisk?

The formula of Volume of Obelisk is expressed as 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. Here is an example- 3333.333 = ((20*(15^2+10^2+sqrt(15^2*10^2)))+(10^2*5))/3.

How to calculate Volume of Obelisk?

With Frustum Height of Obelisk (h_Frustum), Base Edge Length of Obelisk (l_e(Base)), Transition Edge Length of Obelisk (l_{e(Transition)}) & Pyramidal Height of Obelisk (h_Pyramid) we can find Volume of Obelisk using the formula - 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. This formula also uses Square Root Function function(s).

What are the other ways to Calculate Volume of Obelisk?

Here are the different ways to Calculate Volume of Obelisk-

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=((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

Can the Volume of Obelisk be negative?

No, the Volume of Obelisk, measured in Volume cannot be negative.

Which unit is used to measure Volume of Obelisk?

Volume of Obelisk is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Obelisk can be measured.

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Volume of Obelisk Formula

​GoVolume of Obelisk given Pyramidal Height and Height of Obelisk Formula

​GoVolume of Obelisk given Frustum Height and Height of Obelisk Formula

Volume of Obelisk Example

Volume of Obelisk Solution

Volume of Obelisk Formula Elements

Other Formulas to find Volume of Obelisk

How to Evaluate Volume of Obelisk?

FAQs on Volume of Obelisk

Variable Name

GoVolume of Obelisk given Pyramidal Height and Height of Obelisk Formula

GoVolume of Obelisk given Frustum Height and Height of Obelisk Formula