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Surface to Volume Ratio of Obelisk Formula

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GoSurface to Volume Ratio of Obelisk given Pyramidal Height and Height of Obelisk Formula

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GoSurface to Volume Ratio of Obelisk given Frustum Height and Height of Obelisk Formula

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Surface to Volume Ratio of Obelisk is the numerical ratio of the total surface area of an Obelisk to the volume of the Obelisk. Check FAQs

R A/V = \frac{{l e(Base)}^{2} + LSA}{\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}}

R_A/V - Surface to Volume Ratio of Obelisk?l_e(Base) - Base Edge Length of Obelisk?LSA - Lateral Surface Area of Obelisk?h_Frustum - Frustum Height of Obelisk?l_{e(Transition)} - Transition Edge Length of Obelisk?h_Pyramid - Pyramidal Height of Obelisk?

Surface to Volume Ratio of Obelisk Example

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

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

Here is how the Surface to Volume Ratio of Obelisk equation looks like.

0.4125 = \frac{15^{2} + 1150}{\frac{(20 \cdot (15^{2} + 10^{2} + \sqrt{15^{2} \cdot 10^{2}})) + (10^{2} \cdot 5)}{3}}

0.4125m⁻¹ = \frac{{15m}^{2} + 1150m²}{\frac{(20m \cdot ({15m}^{2} + {10m}^{2} + \sqrt{{15m}^{2} \cdot {10m}^{2}})) + ({10m}^{2} \cdot 5m)}{3}}

0.4125 = \frac{15^{2} + 1150}{\frac{(20 \cdot (15^{2} + 10^{2} + \sqrt{15^{2} \cdot 10^{2}})) + (10^{2} \cdot 5)}{3}}

Tip: Use pencil () icon above to edit Input Values and Units.

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Home » Math » Geometry » 3D Geometry » Surface to Volume Ratio of Obelisk

Surface to Volume Ratio of Obelisk Solution

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

FIRST Step Consider the formula

R A/V = \frac{{l e(Base)}^{2} + LSA}{\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

∴

R A/V = \frac{{15m}^{2} + 1150m²}{\frac{(20m \cdot ({15m}^{2} + {10m}^{2} + \sqrt{{15m}^{2} \cdot {10m}^{2}})) + ({10m}^{2} \cdot 5m)}{3}}

Next Step Prepare to Evaluate

∴

R A/V = \frac{15^{2} + 1150}{\frac{(20 \cdot (15^{2} + 10^{2} + \sqrt{15^{2} \cdot 10^{2}})) + (10^{2} \cdot 5)}{3}}

LAST Step Evaluate

∴

R A/V = 0.4125m⁻¹

Surface to Volume Ratio of Obelisk Formula Elements

Variables

Functions

Surface to Volume Ratio of Obelisk

Surface to Volume Ratio of Obelisk is the numerical ratio of the total surface area of an Obelisk to the volume of the Obelisk.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

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.

Lateral Surface Area of Obelisk

Lateral Surface Area of Obelisk is the total quantity of two dimensional space enclosed on all the faces of Obelisk except the base square shaped face.

Symbol: LSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

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.

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.

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.

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)

Credits

Creator Image

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Formula and 2500+ more formulas!

Verifier Image

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Formula and 1800+ more formulas!

Other Formulas to find Surface to Volume Ratio of Obelisk

Go Surface to Volume Ratio of Obelisk given Pyramidal Height and Height of Obelisk

R A/V = \frac{{l e(Base)}^{2} + LSA}{\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}}

Go Surface to Volume Ratio of Obelisk given Frustum Height and Height of Obelisk

R A/V = \frac{{l e(Base)}^{2} + LSA}{\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 Surface to Volume Ratio of Obelisk?

Surface to Volume Ratio of Obelisk evaluator uses Surface to Volume Ratio of Obelisk = (Base Edge Length of Obelisk^2+Lateral Surface Area 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 Surface to Volume Ratio of Obelisk, Surface to Volume Ratio of Obelisk formula is defined as the numerical ratio of the total surface area of an Obelisk to the volume of the Obelisk. Surface to Volume Ratio of Obelisk is denoted by R_A/V symbol.

How to evaluate Surface to Volume Ratio of Obelisk using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Obelisk, enter Base Edge Length of Obelisk (l_e(Base)), Lateral Surface Area of Obelisk (LSA), Frustum Height of Obelisk (h_Frustum), Transition Edge Length of Obelisk (l_{e(Transition)}) & Pyramidal Height of Obelisk (h_Pyramid) and hit the calculate button.

FAQs on Surface to Volume Ratio of Obelisk

What is the formula to find Surface to Volume Ratio of Obelisk?

The formula of Surface to Volume Ratio of Obelisk is expressed as Surface to Volume Ratio of Obelisk = (Base Edge Length of Obelisk^2+Lateral Surface Area 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- 0.4125 = (15^2+1150)/(((20*(15^2+10^2+sqrt(15^2*10^2)))+(10^2*5))/3).

How to calculate Surface to Volume Ratio of Obelisk?

With Base Edge Length of Obelisk (l_e(Base)), Lateral Surface Area of Obelisk (LSA), Frustum Height of Obelisk (h_Frustum), Transition Edge Length of Obelisk (l_{e(Transition)}) & Pyramidal Height of Obelisk (h_Pyramid) we can find Surface to Volume Ratio of Obelisk using the formula - Surface to Volume Ratio of Obelisk = (Base Edge Length of Obelisk^2+Lateral Surface Area 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 (sqrt) function(s).

What are the other ways to Calculate Surface to Volume Ratio of Obelisk?

Here are the different ways to Calculate Surface to Volume Ratio of Obelisk-

Surface to Volume Ratio of Obelisk=(Base Edge Length of Obelisk^2+Lateral Surface Area 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)
Surface to Volume Ratio of Obelisk=(Base Edge Length of Obelisk^2+Lateral Surface Area 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 Surface to Volume Ratio of Obelisk be negative?

No, the Surface to Volume Ratio of Obelisk, measured in Reciprocal Length cannot be negative.

Which unit is used to measure Surface to Volume Ratio of Obelisk?

Surface to Volume Ratio of Obelisk is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Surface to Volume Ratio of Obelisk can be measured.

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