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Pyramidal Height of Obelisk given Volume and Frustum Height Formula

GoPyramidal Height of Obelisk Formula

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

h Pyramid = \frac{(3 \cdot V) - (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}}

h_Pyramid - Pyramidal Height of Obelisk?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?

Pyramidal Height of Obelisk given Volume and Frustum Height Example

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

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

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

4.9 = \frac{(3 \cdot 3330) - (20 \cdot (15^{2} + 10^{2} + \sqrt{15^{2} \cdot 10^{2}}))}{10^{2}}

4.9m = \frac{(3 \cdot 3330m³) - (20m \cdot ({15m}^{2} + {10m}^{2} + \sqrt{{15m}^{2} \cdot {10m}^{2}}))}{{10m}^{2}}

4.9 = \frac{(3 \cdot 3330) - (20 \cdot (15^{2} + 10^{2} + \sqrt{15^{2} \cdot 10^{2}}))}{10^{2}}

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Pyramidal Height of Obelisk given Volume and Frustum Height Solution

Follow our step by step solution on how to calculate Pyramidal Height of Obelisk given Volume and Frustum Height?

FIRST Step Consider the formula

h Pyramid = \frac{(3 \cdot V) - (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}}

Next Step Substitute values of Variables

∴

h Pyramid = \frac{(3 \cdot 3330m³) - (20m \cdot ({15m}^{2} + {10m}^{2} + \sqrt{{15m}^{2} \cdot {10m}^{2}}))}{{10m}^{2}}

Next Step Prepare to Evaluate

∴

h Pyramid = \frac{(3 \cdot 3330) - (20 \cdot (15^{2} + 10^{2} + \sqrt{15^{2} \cdot 10^{2}}))}{10^{2}}

LAST Step Evaluate

∴

h Pyramid = 4.9m

Pyramidal Height of Obelisk given Volume and Frustum Height Formula Elements

Variables

Functions

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

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

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 Pyramidal Height of Obelisk

Go Pyramidal Height of Obelisk

h Pyramid = h - h Frustum

Other formulas in Height of Obelisk category

Go Height of Obelisk

h = h Frustum + h Pyramid

Go Frustum Height of Obelisk

h Frustum = h - h Pyramid

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

Pyramidal Height of Obelisk given Volume and Frustum Height evaluator 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 evaluate 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 evaluate Pyramidal Height of Obelisk given Volume and Frustum Height using this online evaluator? To use this online evaluator 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.

FAQs on Pyramidal Height of Obelisk given Volume and Frustum Height

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

The formula of Pyramidal Height of Obelisk given Volume and Frustum Height is expressed as 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). Here is an example- 4.9 = ((3*3330)-(20*(15^2+10^2+sqrt(15^2*10^2))))/(10^2).

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

With 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)}) we can find Pyramidal Height of Obelisk given Volume and Frustum Height using the formula - 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). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Pyramidal Height of Obelisk?

Here are the different ways to Calculate Pyramidal Height of Obelisk-

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

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

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

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

Pyramidal Height of Obelisk given Volume and Frustum Height is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Pyramidal Height of Obelisk given Volume and Frustum Height can be measured.

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Pyramidal Height of Obelisk given Volume and Frustum Height Formula

​GoPyramidal Height of Obelisk Formula

Pyramidal Height of Obelisk given Volume and Frustum Height Example

Pyramidal Height of Obelisk given Volume and Frustum Height Solution

Pyramidal Height of Obelisk given Volume and Frustum Height Formula Elements

Other Formulas to find Pyramidal Height of Obelisk

Other formulas in Height of Obelisk category

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

FAQs on Pyramidal Height of Obelisk given Volume and Frustum Height

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GoPyramidal Height of Obelisk Formula