Lateral Surface Area of Obelisk given Frustum Height and Pyramidal Height 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%
✖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%
✖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%
✖Pyramidal Height of Obelisk is the vertical distance from the sharp tip to the base square of the pyramidal part of the Obelisk.ⓘ Pyramidal Height of Obelisk [h_Pyramid]			+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 given Frustum Height and Pyramidal Height [LSA]

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Lateral Surface Area of Obelisk given Frustum Height and Pyramidal Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Lateral Surface Area of Obelisk = ((Base Edge Length of Obelisk+Transition Edge Length of Obelisk)*sqrt((Base Edge Length of Obelisk-Transition Edge Length of Obelisk)^2+(4*Frustum Height of Obelisk^2)))+(Transition Edge Length of Obelisk*sqrt((4*Pyramidal Height of Obelisk^2)+Transition Edge Length of Obelisk^2))
LSA = ((l_e(Base)+l_{e(Transition)})*sqrt((l_e(Base)-l_{e(Transition)})^2+(4*h_Frustum^2)))+(l_{e(Transition)}*sqrt((4*h_Pyramid^2)+l_{e(Transition)}^2))
This formula uses 1 Functions, 5 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

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.
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.
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.
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.
Pyramidal Height of Obelisk - (Measured in Meter) - Pyramidal Height of Obelisk is the vertical distance from the sharp tip to the base square of the pyramidal part of the Obelisk.

STEP 1: Convert Input(s) to Base Unit

Base Edge Length of Obelisk: 15 Meter --> 15 Meter No Conversion Required
Transition Edge Length of Obelisk: 10 Meter --> 10 Meter No Conversion Required
Frustum Height of Obelisk: 20 Meter --> 20 Meter No Conversion Required
Pyramidal Height of Obelisk: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

LSA = ((l_e(Base)+l_{e(Transition)})*sqrt((l_e(Base)-l_{e(Transition)})^2+(4*h_Frustum^2)))+(l_{e(Transition)}*sqrt((4*h_Pyramid^2)+l_{e(Transition)}^2)) --> ((15+10)*sqrt((15-10)^2+(4*20^2)))+(10*sqrt((4*5^2)+10^2))

Evaluating ... ...

LSA = 1149.20357477463

STEP 3: Convert Result to Output's Unit

1149.20357477463 Square Meter --> No Conversion Required

FINAL ANSWER

1149.20357477463 ≈ 1149.204 Square Meter <-- Lateral Surface Area of Obelisk

(Calculation completed in 00.020 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< Lateral Surface Area of Obelisk Calculators

Lateral Surface Area of Obelisk given Pyramidal Height and Height of Obelisk

LaTeX Go Lateral Surface Area of Obelisk = ((Base Edge Length of Obelisk+Transition Edge Length of Obelisk)*sqrt((Base Edge Length of Obelisk-Transition Edge Length of Obelisk)^2+(4*(Height of Obelisk-Pyramidal Height of Obelisk)^2)))+(Transition Edge Length of Obelisk*sqrt((4*Pyramidal Height of Obelisk^2)+Transition Edge Length of Obelisk^2))

Lateral Surface Area of Obelisk given Frustum Height and Height of Obelisk

LaTeX Go Lateral Surface Area of Obelisk = ((Base Edge Length of Obelisk+Transition Edge Length of Obelisk)*sqrt((Base Edge Length of Obelisk-Transition Edge Length of Obelisk)^2+(4*Frustum Height of Obelisk^2)))+(Transition Edge Length of Obelisk*sqrt((4*(Height of Obelisk-Frustum Height of Obelisk)^2)+Transition Edge Length of Obelisk^2))

Lateral Surface Area of Obelisk given Frustum Height and Pyramidal Height

LaTeX Go Lateral Surface Area of Obelisk = ((Base Edge Length of Obelisk+Transition Edge Length of Obelisk)*sqrt((Base Edge Length of Obelisk-Transition Edge Length of Obelisk)^2+(4*Frustum Height of Obelisk^2)))+(Transition Edge Length of Obelisk*sqrt((4*Pyramidal Height of Obelisk^2)+Transition Edge Length of Obelisk^2))

Lateral Surface Area of Obelisk given Total Surface Area and Base Edge Length

LaTeX Go Lateral Surface Area of Obelisk = Total Surface Area of Obelisk-Base Edge Length of Obelisk^2

Lateral Surface Area of Obelisk given Frustum Height and Pyramidal Height Formula

LaTeX Go

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 Lateral Surface Area of Obelisk given Frustum Height and Pyramidal Height?

Lateral Surface Area of Obelisk given Frustum Height and Pyramidal Height calculator uses Lateral Surface Area of Obelisk = ((Base Edge Length of Obelisk+Transition Edge Length of Obelisk)*sqrt((Base Edge Length of Obelisk-Transition Edge Length of Obelisk)^2+(4*Frustum Height of Obelisk^2)))+(Transition Edge Length of Obelisk*sqrt((4*Pyramidal Height of Obelisk^2)+Transition Edge Length of Obelisk^2)) to calculate the Lateral Surface Area of Obelisk, Lateral Surface Area of Obelisk given Frustum Height and Pyramidal Height formula is defined as the total quantity of two dimensional space enclosed on all the faces of Obelisk except the base square shaped face, calculated using its frustum height and pyramidal height. Lateral Surface Area of Obelisk is denoted by LSA symbol.

How to calculate Lateral Surface Area of Obelisk given Frustum Height and Pyramidal Height using this online calculator? To use this online calculator for Lateral Surface Area of Obelisk given Frustum Height and Pyramidal Height, enter Base Edge Length of Obelisk (l_e(Base)), Transition Edge Length of Obelisk (l_{e(Transition)}), Frustum Height of Obelisk (h_Frustum) & Pyramidal Height of Obelisk (h_Pyramid) and hit the calculate button. Here is how the Lateral Surface Area of Obelisk given Frustum Height and Pyramidal Height calculation can be explained with given input values -> 1149.204 = ((15+10)*sqrt((15-10)^2+(4*20^2)))+(10*sqrt((4*5^2)+10^2)).

FAQ

What is Lateral Surface Area of Obelisk given Frustum Height and Pyramidal Height?

Lateral Surface Area of Obelisk given Frustum Height and Pyramidal Height formula is defined as the total quantity of two dimensional space enclosed on all the faces of Obelisk except the base square shaped face, calculated using its frustum height and pyramidal height and is represented as LSA = ((l_e(Base)+l_{e(Transition)})*sqrt((l_e(Base)-l_{e(Transition)})^2+(4*h_Frustum^2)))+(l_{e(Transition)}*sqrt((4*h_Pyramid^2)+l_{e(Transition)}^2)) or Lateral Surface Area of Obelisk = ((Base Edge Length of Obelisk+Transition Edge Length of Obelisk)*sqrt((Base Edge Length of Obelisk-Transition Edge Length of Obelisk)^2+(4*Frustum Height of Obelisk^2)))+(Transition Edge Length of Obelisk*sqrt((4*Pyramidal Height of Obelisk^2)+Transition Edge Length of Obelisk^2)). Base Edge Length of Obelisk is the length of any edge of the base square shaped face 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, Frustum Height of Obelisk is the vertical distance between the top and bottom square shaped faces of the non pyramidal part of the Obelisk & Pyramidal Height of Obelisk is the vertical distance from the sharp tip to the base square of the pyramidal part of the Obelisk.

How to calculate Lateral Surface Area of Obelisk given Frustum Height and Pyramidal Height?

Lateral Surface Area of Obelisk given Frustum Height and Pyramidal Height formula is defined as the total quantity of two dimensional space enclosed on all the faces of Obelisk except the base square shaped face, calculated using its frustum height and pyramidal height is calculated using Lateral Surface Area of Obelisk = ((Base Edge Length of Obelisk+Transition Edge Length of Obelisk)*sqrt((Base Edge Length of Obelisk-Transition Edge Length of Obelisk)^2+(4*Frustum Height of Obelisk^2)))+(Transition Edge Length of Obelisk*sqrt((4*Pyramidal Height of Obelisk^2)+Transition Edge Length of Obelisk^2)). To calculate Lateral Surface Area of Obelisk given Frustum Height and Pyramidal Height, you need Base Edge Length of Obelisk (l_e(Base)), Transition Edge Length of Obelisk (l_{e(Transition)}), Frustum Height of Obelisk (h_Frustum) & Pyramidal Height of Obelisk (h_Pyramid). With our tool, you need to enter the respective value for Base Edge Length of Obelisk, Transition Edge Length of Obelisk, Frustum Height of Obelisk & Pyramidal 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 Lateral Surface Area of Obelisk?

In this formula, Lateral Surface Area of Obelisk uses Base Edge Length of Obelisk, Transition Edge Length of Obelisk, Frustum Height of Obelisk & Pyramidal Height of Obelisk. We can use 3 other way(s) to calculate the same, which is/are as follows -

Lateral Surface Area of Obelisk = Total Surface Area of Obelisk-Base Edge Length of Obelisk^2
Lateral Surface Area of Obelisk = ((Base Edge Length of Obelisk+Transition Edge Length of Obelisk)*sqrt((Base Edge Length of Obelisk-Transition Edge Length of Obelisk)^2+(4*(Height of Obelisk-Pyramidal Height of Obelisk)^2)))+(Transition Edge Length of Obelisk*sqrt((4*Pyramidal Height of Obelisk^2)+Transition Edge Length of Obelisk^2))
Lateral Surface Area of Obelisk = ((Base Edge Length of Obelisk+Transition Edge Length of Obelisk)*sqrt((Base Edge Length of Obelisk-Transition Edge Length of Obelisk)^2+(4*Frustum Height of Obelisk^2)))+(Transition Edge Length of Obelisk*sqrt((4*(Height of Obelisk-Frustum Height of Obelisk)^2)+Transition Edge Length of Obelisk^2))

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