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

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

GoLateral Surface Area of Obelisk given Total Surface Area and Base Edge Length Formula

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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. Check FAQs

LSA = ((l e(Base) + l e(Transition)) \cdot \sqrt{{(l e(Base) - l e(Transition))}^{2} + (4 \cdot {h Frustum}^{2})}) + (l e(Transition) \cdot \sqrt{(4 \cdot {(h - h Frustum)}^{2}) + {l e(Transition)}^{2}})

LSA - Lateral Surface Area of Obelisk?l_e(Base) - Base Edge Length of Obelisk?l_{e(Transition)} - Transition Edge Length of Obelisk?h_Frustum - Frustum Height of Obelisk?h - Height of Obelisk?

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

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

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

Here is how the Lateral Surface Area of Obelisk given Frustum Height and Height of Obelisk equation looks like.

1149.2036 = ((15 + 10) \cdot \sqrt{{(15 - 10)}^{2} + (4 \cdot 20^{2})}) + (10 \cdot \sqrt{(4 \cdot {(25 - 20)}^{2}) + 10^{2}})

1149.2036m² = ((15m + 10m) \cdot \sqrt{{(15m - 10m)}^{2} + (4 \cdot {20m}^{2})}) + (10m \cdot \sqrt{(4 \cdot {(25m - 20m)}^{2}) + {10m}^{2}})

1149.2036 = ((15 + 10) \cdot \sqrt{{(15 - 10)}^{2} + (4 \cdot 20^{2})}) + (10 \cdot \sqrt{(4 \cdot {(25 - 20)}^{2}) + 10^{2}})

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

Follow our step by step solution on how to calculate Lateral Surface Area of Obelisk given Frustum Height and Height of Obelisk?

FIRST Step Consider the formula

LSA = ((l e(Base) + l e(Transition)) \cdot \sqrt{{(l e(Base) - l e(Transition))}^{2} + (4 \cdot {h Frustum}^{2})}) + (l e(Transition) \cdot \sqrt{(4 \cdot {(h - h Frustum)}^{2}) + {l e(Transition)}^{2}})

Next Step Substitute values of Variables

∴

LSA = ((15m + 10m) \cdot \sqrt{{(15m - 10m)}^{2} + (4 \cdot {20m}^{2})}) + (10m \cdot \sqrt{(4 \cdot {(25m - 20m)}^{2}) + {10m}^{2}})

Next Step Prepare to Evaluate

∴

LSA = ((15 + 10) \cdot \sqrt{{(15 - 10)}^{2} + (4 \cdot 20^{2})}) + (10 \cdot \sqrt{(4 \cdot {(25 - 20)}^{2}) + 10^{2}})

Next Step Evaluate

∴

LSA = 1149.20357477463m²

LAST Step Rounding Answer

∴

LSA = 1149.2036m²

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

Variables

Functions

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.

Formulas to find Lateral Surface Area 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

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

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 Lateral Surface Area of Obelisk

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

LSA = ((l e(Base) + l e(Transition)) \cdot \sqrt{{(l e(Base) - l e(Transition))}^{2} + (4 \cdot {h Frustum}^{2})}) + (l e(Transition) \cdot \sqrt{(4 \cdot {h Pyramid}^{2}) + {l e(Transition)}^{2}})

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

LSA = TSA - {l e(Base)}^{2}

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

LSA = ((l e(Base) + l e(Transition)) \cdot \sqrt{{(l e(Base) - l e(Transition))}^{2} + (4 \cdot {(h - h Pyramid)}^{2})}) + (l e(Transition) \cdot \sqrt{(4 \cdot {h Pyramid}^{2}) + {l e(Transition)}^{2}})

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

Lateral Surface Area of Obelisk given Frustum Height and Height of Obelisk evaluator 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*(Height of Obelisk-Frustum Height of Obelisk)^2)+Transition Edge Length of Obelisk^2)) to evaluate the Lateral Surface Area of Obelisk, Lateral Surface Area of Obelisk given Frustum Height and Height of Obelisk 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 height of Obelisk. Lateral Surface Area of Obelisk is denoted by LSA symbol.

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

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

What is the formula to find Lateral Surface Area of Obelisk given Frustum Height and Height of Obelisk?

The formula of Lateral Surface Area of Obelisk given Frustum Height and Height of Obelisk is expressed as 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)). Here is an example- 1149.204 = ((15+10)*sqrt((15-10)^2+(4*20^2)))+(10*sqrt((4*(25-20)^2)+10^2)).

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

With Base Edge Length of Obelisk (l_e(Base)), Transition Edge Length of Obelisk (l_{e(Transition)}), Frustum Height of Obelisk (h_Frustum) & Height of Obelisk (h) we can find Lateral Surface Area of Obelisk given Frustum Height and Height of Obelisk using the formula - 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)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Lateral Surface Area of Obelisk?

Here are the different ways to Calculate Lateral Surface Area of Obelisk-

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=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))

Can the Lateral Surface Area of Obelisk given Frustum Height and Height of Obelisk be negative?

No, the Lateral Surface Area of Obelisk given Frustum Height and Height of Obelisk, measured in Area cannot be negative.

Which unit is used to measure Lateral Surface Area of Obelisk given Frustum Height and Height of Obelisk?

Lateral Surface Area of Obelisk given Frustum Height and Height of Obelisk is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Lateral Surface Area of Obelisk given Frustum Height and Height of Obelisk can be measured.

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

​GoLateral Surface Area of Obelisk given Frustum Height and Pyramidal Height Formula

​GoLateral Surface Area of Obelisk given Total Surface Area and Base Edge Length Formula

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

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

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

Other Formulas to find Lateral Surface Area of Obelisk

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

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

Variable Name

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

GoLateral Surface Area of Obelisk given Total Surface Area and Base Edge Length Formula