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

✖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%
✖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.ⓘ Lateral Surface Area of Obelisk [LSA]			+10% -10%
✖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%
✖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%

✖Surface to Volume Ratio of Obelisk is the numerical ratio of the total surface area of an Obelisk to the volume of the Obelisk.ⓘ Surface to Volume Ratio of Obelisk given Pyramidal Height and Height of Obelisk [R_A/V]

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Formula

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

Formula

`"R"_{"A/V"} = ("l"_{"e(Base)"}^2+"LSA")/((("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)`

Example

`"0.4125m⁻¹"=(("15m")^2+"1150m²")/((("20m"*(("15m")^2+("10m")^2+sqrt(("15m")^2*("10m")^2)))+(("10m")^2*("25m"-"20m")))/3)`

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
R_A/V = (l_e(Base)^2+LSA)/(((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, 6 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

Surface to Volume Ratio of Obelisk - (Measured in 1 per Meter) - Surface to Volume Ratio of Obelisk is the numerical ratio of the total surface area of an Obelisk to the volume 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.
Lateral Surface Area of Obelisk - (Measured in Square Meter) - 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.
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.
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

Base Edge Length of Obelisk: 15 Meter --> 15 Meter No Conversion Required
Lateral Surface Area of Obelisk: 1150 Square Meter --> 1150 Square Meter No Conversion Required
Frustum Height of Obelisk: 20 Meter --> 20 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

R_A/V = (l_e(Base)^2+LSA)/(((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) --> (15^2+1150)/(((20*(15^2+10^2+sqrt(15^2*10^2)))+(10^2*(25-20)))/3)

Evaluating ... ...

R_A/V = 0.4125

STEP 3: Convert Result to Output's Unit

0.4125 1 per Meter --> No Conversion Required

FINAL ANSWER

0.4125 1 per Meter <-- Surface to Volume Ratio of Obelisk

(Calculation completed in 00.004 seconds)

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< 3 Surface to Volume Ratio of Obelisk Calculators

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

Go 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)

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

Go 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

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

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

Surface to Volume Ratio of Obelisk given Pyramidal Height and Height of Obelisk calculator 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*(Height of Obelisk-Frustum Height of Obelisk)))/3) to calculate the Surface to Volume Ratio of Obelisk, Surface to Volume Ratio of Obelisk given Pyramidal Height and Height of Obelisk formula is defined as the numerical ratio of the total surface area of an Obelisk to the volume of the Obelisk, calculated using its pyramidal height and height of Obelisk. Surface to Volume Ratio of Obelisk is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Obelisk given Pyramidal Height and Height of Obelisk using this online calculator? To use this online calculator for Surface to Volume Ratio of Obelisk given Pyramidal Height and Height 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)}) & Height of Obelisk (h) and hit the calculate button. Here is how the Surface to Volume Ratio of Obelisk given Pyramidal Height and Height of Obelisk calculation can be explained with given input values -> 0.4125 = (15^2+1150)/(((20*(15^2+10^2+sqrt(15^2*10^2)))+(10^2*(25-20)))/3).

FAQ

What is Surface to Volume Ratio of Obelisk given Pyramidal Height and Height of Obelisk?

Surface to Volume Ratio of Obelisk given Pyramidal Height and Height of Obelisk formula is defined as the numerical ratio of the total surface area of an Obelisk to the volume of the Obelisk, calculated using its pyramidal height and height of Obelisk and is represented as R_A/V = (l_e(Base)^2+LSA)/(((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 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). Base Edge Length of Obelisk is the length of any edge of the base square shaped face of the 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, Frustum Height of Obelisk is the vertical distance between the top and bottom square shaped faces of the non pyramidal part 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 Surface to Volume Ratio of Obelisk given Pyramidal Height and Height of Obelisk?

Surface to Volume Ratio of Obelisk given Pyramidal Height and Height of Obelisk formula is defined as the numerical ratio of the total surface area of an Obelisk to the volume of the Obelisk, calculated using its pyramidal height and height of Obelisk is calculated using 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). To calculate Surface to Volume Ratio of Obelisk given Pyramidal Height and Height of Obelisk, you need 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)}) & Height of Obelisk (h). With our tool, you need to enter the respective value for Base Edge Length of Obelisk, Lateral Surface Area of Obelisk, Frustum Height 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 Surface to Volume Ratio of Obelisk?

In this formula, Surface to Volume Ratio of Obelisk uses Base Edge Length of Obelisk, Lateral Surface Area of Obelisk, Frustum Height 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 -

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)
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)

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