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Volume of Obelisk given Frustum Height and Height of Obelisk Formula

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GoVolume of Obelisk given Pyramidal 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 - h Frustum))}{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 - Height of Obelisk?

Volume of Obelisk given Frustum Height and Height of Obelisk Example

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Here is how the Volume of Obelisk given Frustum Height and Height of Obelisk equation looks like with Values.

Here is how the Volume of Obelisk given Frustum Height and Height of Obelisk equation looks like with Units.

Here is how the Volume of Obelisk given Frustum Height and Height of Obelisk equation looks like.

3333.3333 = \frac{(20 \cdot (15^{2} + 10^{2} + \sqrt{15^{2} \cdot 10^{2}})) + (10^{2} \cdot (25 - 20))}{3}

3333.3333m³ = \frac{(20m \cdot ({15m}^{2} + {10m}^{2} + \sqrt{{15m}^{2} \cdot {10m}^{2}})) + ({10m}^{2} \cdot (25m - 20m))}{3}

3333.3333 = \frac{(20 \cdot (15^{2} + 10^{2} + \sqrt{15^{2} \cdot 10^{2}})) + (10^{2} \cdot (25 - 20))}{3}

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Volume of Obelisk given Frustum Height and Height of Obelisk Solution

Follow our step by step solution on how to calculate Volume of Obelisk given Frustum Height and Height 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 - h Frustum))}{3}

Next Step Substitute values of Variables

∴

V = \frac{(20m \cdot ({15m}^{2} + {10m}^{2} + \sqrt{{15m}^{2} \cdot {10m}^{2}})) + ({10m}^{2} \cdot (25m - 20m))}{3}

Next Step Prepare to Evaluate

∴

V = \frac{(20 \cdot (15^{2} + 10^{2} + \sqrt{15^{2} \cdot 10^{2}})) + (10^{2} \cdot (25 - 20))}{3}

Next Step Evaluate

∴

V = 3333.33333333333m³

LAST Step Rounding Answer

∴

V = 3333.3333m³

Volume of Obelisk given Frustum Height and Height 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

Height of 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.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find 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

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}

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}

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

Volume of Obelisk given Frustum Height and Height 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*(Height of Obelisk-Frustum Height of Obelisk)))/3 to evaluate 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 evaluate Volume of Obelisk given Frustum Height and Height of Obelisk using this online evaluator? To use this online evaluator 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.

FAQs on Volume of Obelisk given Frustum Height and Height of Obelisk

What is the formula to find Volume of Obelisk given Frustum Height and Height of Obelisk?

The formula of Volume of Obelisk given Frustum Height and Height 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*(Height of Obelisk-Frustum Height of Obelisk)))/3. Here is an example- 3333.333 = ((20*(15^2+10^2+sqrt(15^2*10^2)))+(10^2*(25-20)))/3.

How to calculate Volume of Obelisk given Frustum Height and Height 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)}) & Height of Obelisk (h) we can find Volume of Obelisk given Frustum Height and Height 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*(Height of Obelisk-Frustum Height of Obelisk)))/3. This formula also uses Square Root (sqrt) 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=((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

Can the Volume of Obelisk given Frustum Height and Height of Obelisk be negative?

No, the Volume of Obelisk given Frustum Height and Height of Obelisk, measured in Volume cannot be negative.

Which unit is used to measure Volume of Obelisk given Frustum Height and Height of Obelisk?

Volume of Obelisk given Frustum Height and Height 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 given Frustum Height and Height of Obelisk can be measured.

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Volume of Obelisk given Frustum Height and Height of Obelisk Formula

​GoVolume of Obelisk Formula

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

Volume of Obelisk given Frustum Height and Height of Obelisk Example

Volume of Obelisk given Frustum Height and Height of Obelisk Solution

Volume of Obelisk given Frustum Height and Height of Obelisk Formula Elements

Other Formulas to find Volume of Obelisk

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

FAQs on Volume of Obelisk given Frustum Height and Height of Obelisk

Variable Name

GoVolume of Obelisk Formula

GoVolume of Obelisk given Pyramidal Height and Height of Obelisk Formula