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Lateral Edge Length of Square Pyramid given Total Surface Area Formula

GoLateral Edge Length of Square Pyramid Formula

GoLateral Edge Length of Square Pyramid given Slant Height Formula

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Lateral Edge Length of Square Pyramid is the length of the straight line connecting any base vertex to the apex of the Square Pyramid. Check FAQs

l e(Lateral) = \sqrt{\frac{{l e(Base)}^{2}}{2} + \frac{{(\frac{TSA - {l e(Base)}^{2}}{l e(Base)})}^{2} - {l e(Base)}^{2}}{4}}

l_e(Lateral) - Lateral Edge Length of Square Pyramid?l_e(Base) - Edge Length of Base of Square Pyramid?TSA - Total Surface Area of Square Pyramid?

Lateral Edge Length of Square Pyramid given Total Surface Area Example

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Here is how the Lateral Edge Length of Square Pyramid given Total Surface Area equation looks like with Values.

Here is how the Lateral Edge Length of Square Pyramid given Total Surface Area equation looks like with Units.

Here is how the Lateral Edge Length of Square Pyramid given Total Surface Area equation looks like.

16.7631 = \sqrt{\frac{10^{2}}{2} + \frac{{(\frac{420 - 10^{2}}{10})}^{2} - 10^{2}}{4}}

16.7631m = \sqrt{\frac{{10m}^{2}}{2} + \frac{{(\frac{420m² - {10m}^{2}}{10m})}^{2} - {10m}^{2}}{4}}

16.7631 = \sqrt{\frac{10^{2}}{2} + \frac{{(\frac{420 - 10^{2}}{10})}^{2} - 10^{2}}{4}}

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Lateral Edge Length of Square Pyramid given Total Surface Area Solution

Follow our step by step solution on how to calculate Lateral Edge Length of Square Pyramid given Total Surface Area?

FIRST Step Consider the formula

l e(Lateral) = \sqrt{\frac{{l e(Base)}^{2}}{2} + \frac{{(\frac{TSA - {l e(Base)}^{2}}{l e(Base)})}^{2} - {l e(Base)}^{2}}{4}}

Next Step Substitute values of Variables

∴

l e(Lateral) = \sqrt{\frac{{10m}^{2}}{2} + \frac{{(\frac{420m² - {10m}^{2}}{10m})}^{2} - {10m}^{2}}{4}}

Next Step Prepare to Evaluate

∴

l e(Lateral) = \sqrt{\frac{10^{2}}{2} + \frac{{(\frac{420 - 10^{2}}{10})}^{2} - 10^{2}}{4}}

Next Step Evaluate

∴

l e(Lateral) = 16.7630546142402m

LAST Step Rounding Answer

∴

l e(Lateral) = 16.7631m

Lateral Edge Length of Square Pyramid given Total Surface Area Formula Elements

Variables

Functions

Lateral Edge Length of Square Pyramid

Lateral Edge Length of Square Pyramid is the length of the straight line connecting any base vertex to the apex of the Square Pyramid.

Symbol: l_e(Lateral)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Lateral Edge Length of Square Pyramid

Edge Length of Base of Square Pyramid

Edge Length of Base of Square Pyramid is the length of the straight line connecting any two adjacent vertices of the base of the Square Pyramid.

Symbol: l_e(Base)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Base of Square Pyramid

Total Surface Area of Square Pyramid

Total Surface Area of Square Pyramid is the total amount of two-dimensional space occupied on all the faces of the Square Pyramid.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Square Pyramid

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 Edge Length of Square Pyramid

Go Lateral Edge Length of Square Pyramid

l e(Lateral) = \sqrt{\frac{{l e(Base)}^{2}}{2} + h^{2}}

Go Lateral Edge Length of Square Pyramid given Slant Height

l e(Lateral) = \sqrt{\frac{{l e(Base)}^{2}}{4} + {h slant}^{2}}

Go Lateral Edge Length of Square Pyramid given Slant Height and Height

l e(Lateral) = \sqrt{(2 \cdot {h slant}^{2}) - h^{2}}

Go Lateral Edge Length of Square Pyramid given Base Angle

l e(Lateral) = \sqrt{\frac{3 \cdot {l e(Base)}^{2}}{4} + {h slant}^{2} - (l e(Base) \cdot h slant \cdot \cos (∠ Base))}

Other formulas in Edge Length of Square Pyramid category

Go Edge Length of Base of Square Pyramid given Slant Height

l e(Base) = 2 \cdot \sqrt{{h slant}^{2} - h^{2}}

Go Edge Length of Base of Square Pyramid given Lateral Edge Length

l e(Base) = \sqrt{2 \cdot ({l e(Lateral)}^{2} - h^{2})}

Go Edge Length of Base of Square Pyramid given Volume

l e(Base) = \sqrt{\frac{3 \cdot V}{h}}

How to Evaluate Lateral Edge Length of Square Pyramid given Total Surface Area?

Lateral Edge Length of Square Pyramid given Total Surface Area evaluator uses Lateral Edge Length of Square Pyramid = sqrt((Edge Length of Base of Square Pyramid^2)/2+(((Total Surface Area of Square Pyramid-Edge Length of Base of Square Pyramid^2)/Edge Length of Base of Square Pyramid)^2-Edge Length of Base of Square Pyramid^2)/4) to evaluate the Lateral Edge Length of Square Pyramid, Lateral Edge Length of Square Pyramid given Total Surface Area formula is defined as the length of the straight line connecting any base vertex to the apex of the Square Pyramid and is calculated using the total surface area of the Square Pyramid. Lateral Edge Length of Square Pyramid is denoted by l_e(Lateral) symbol.

How to evaluate Lateral Edge Length of Square Pyramid given Total Surface Area using this online evaluator? To use this online evaluator for Lateral Edge Length of Square Pyramid given Total Surface Area, enter Edge Length of Base of Square Pyramid (l_e(Base)) & Total Surface Area of Square Pyramid (TSA) and hit the calculate button.

FAQs on Lateral Edge Length of Square Pyramid given Total Surface Area

What is the formula to find Lateral Edge Length of Square Pyramid given Total Surface Area?

The formula of Lateral Edge Length of Square Pyramid given Total Surface Area is expressed as Lateral Edge Length of Square Pyramid = sqrt((Edge Length of Base of Square Pyramid^2)/2+(((Total Surface Area of Square Pyramid-Edge Length of Base of Square Pyramid^2)/Edge Length of Base of Square Pyramid)^2-Edge Length of Base of Square Pyramid^2)/4). Here is an example- 16.76305 = sqrt((10^2)/2+(((420-10^2)/10)^2-10^2)/4).

How to calculate Lateral Edge Length of Square Pyramid given Total Surface Area?

With Edge Length of Base of Square Pyramid (l_e(Base)) & Total Surface Area of Square Pyramid (TSA) we can find Lateral Edge Length of Square Pyramid given Total Surface Area using the formula - Lateral Edge Length of Square Pyramid = sqrt((Edge Length of Base of Square Pyramid^2)/2+(((Total Surface Area of Square Pyramid-Edge Length of Base of Square Pyramid^2)/Edge Length of Base of Square Pyramid)^2-Edge Length of Base of Square Pyramid^2)/4). This formula also uses Square Root Function function(s).

What are the other ways to Calculate Lateral Edge Length of Square Pyramid?

Here are the different ways to Calculate Lateral Edge Length of Square Pyramid-

Lateral Edge Length of Square Pyramid=sqrt(Edge Length of Base of Square Pyramid^2/2+Height of Square Pyramid^2)
Lateral Edge Length of Square Pyramid=sqrt((Edge Length of Base of Square Pyramid^2)/4+Slant Height of Square Pyramid^2)
Lateral Edge Length of Square Pyramid=sqrt((2*Slant Height of Square Pyramid^2)-Height of Square Pyramid^2)

Can the Lateral Edge Length of Square Pyramid given Total Surface Area be negative?

No, the Lateral Edge Length of Square Pyramid given Total Surface Area, measured in Length cannot be negative.

Which unit is used to measure Lateral Edge Length of Square Pyramid given Total Surface Area?

Lateral Edge Length of Square Pyramid given Total Surface Area is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Lateral Edge Length of Square Pyramid given Total Surface Area can be measured.

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Lateral Edge Length of Square Pyramid given Total Surface Area Formula

​GoLateral Edge Length of Square Pyramid Formula

​GoLateral Edge Length of Square Pyramid given Slant Height Formula

Lateral Edge Length of Square Pyramid given Total Surface Area Example

Lateral Edge Length of Square Pyramid given Total Surface Area Solution

Lateral Edge Length of Square Pyramid given Total Surface Area Formula Elements

Other Formulas to find Lateral Edge Length of Square Pyramid

Other formulas in Edge Length of Square Pyramid category

How to Evaluate Lateral Edge Length of Square Pyramid given Total Surface Area?

FAQs on Lateral Edge Length of Square Pyramid given Total Surface Area

Variable Name

GoLateral Edge Length of Square Pyramid Formula

GoLateral Edge Length of Square Pyramid given Slant Height Formula