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Lateral Edge Length of Square Pyramid given Slant Height Formula

GoLateral Edge Length of Square Pyramid Formula

GoLateral Edge Length of Square Pyramid given Slant Height and 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}}{4} + {h slant}^{2}}

l_e(Lateral) - Lateral Edge Length of Square Pyramid?l_e(Base) - Edge Length of Base of Square Pyramid?h_slant - Slant Height of Square Pyramid?

Lateral Edge Length of Square Pyramid given Slant Height Example

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Here is how the Lateral Edge Length of Square Pyramid given Slant Height equation looks like with Units.

Here is how the Lateral Edge Length of Square Pyramid given Slant Height equation looks like.

16.7631 = \sqrt{\frac{10^{2}}{4} + 16^{2}}

16.7631m = \sqrt{\frac{{10m}^{2}}{4} + {16m}^{2}}

16.7631 = \sqrt{\frac{10^{2}}{4} + 16^{2}}

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Lateral Edge Length of Square Pyramid given Slant Height Solution

Follow our step by step solution on how to calculate Lateral Edge Length of Square Pyramid given Slant Height?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e(Lateral) = \sqrt{\frac{{10m}^{2}}{4} + {16m}^{2}}

Next Step Prepare to Evaluate

∴

l e(Lateral) = \sqrt{\frac{10^{2}}{4} + 16^{2}}

Next Step Evaluate

∴

l e(Lateral) = 16.7630546142402m

LAST Step Rounding Answer

∴

l e(Lateral) = 16.7631m

Lateral Edge Length of Square Pyramid given Slant Height 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

Slant Height of Square Pyramid

Slant Height of Square Pyramid is the length measured along the lateral face from the base to the apex of the Square Pyramid along the center of the face.

Symbol: h_slant

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Slant Height 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 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))}

Go Lateral Edge Length of Square Pyramid given Total Surface Area

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}}

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 Slant Height?

Lateral Edge Length of Square Pyramid given Slant Height evaluator uses Lateral Edge Length of Square Pyramid = sqrt((Edge Length of Base of Square Pyramid^2)/4+Slant Height of Square Pyramid^2) to evaluate the Lateral Edge Length of Square Pyramid, Lateral Edge Length of Square Pyramid given Slant Height 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 slant height 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 Slant Height using this online evaluator? To use this online evaluator for Lateral Edge Length of Square Pyramid given Slant Height, enter Edge Length of Base of Square Pyramid (l_e(Base)) & Slant Height of Square Pyramid (h_slant) and hit the calculate button.

FAQs on Lateral Edge Length of Square Pyramid given Slant Height

What is the formula to find Lateral Edge Length of Square Pyramid given Slant Height?

The formula of Lateral Edge Length of Square Pyramid given Slant Height is expressed as Lateral Edge Length of Square Pyramid = sqrt((Edge Length of Base of Square Pyramid^2)/4+Slant Height of Square Pyramid^2). Here is an example- 16.76305 = sqrt((10^2)/4+16^2).

How to calculate Lateral Edge Length of Square Pyramid given Slant Height?

With Edge Length of Base of Square Pyramid (l_e(Base)) & Slant Height of Square Pyramid (h_slant) we can find Lateral Edge Length of Square Pyramid given Slant Height using the formula - Lateral Edge Length of Square Pyramid = sqrt((Edge Length of Base of Square Pyramid^2)/4+Slant Height of Square Pyramid^2). This formula also uses Square Root (sqrt) 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((2*Slant Height of Square Pyramid^2)-Height of Square Pyramid^2)
Lateral Edge Length of Square Pyramid=sqrt((3*Edge Length of Base of Square Pyramid^2)/4+Slant Height of Square Pyramid^2-(Edge Length of Base of Square Pyramid*Slant Height of Square Pyramid*cos(Base Angle of Square Pyramid)))

Can the Lateral Edge Length of Square Pyramid given Slant Height be negative?

No, the Lateral Edge Length of Square Pyramid given Slant Height, measured in Length cannot be negative.

Which unit is used to measure Lateral Edge Length of Square Pyramid given Slant Height?

Lateral Edge Length of Square Pyramid given Slant Height 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 Slant Height can be measured.

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Lateral Edge Length of Square Pyramid given Slant Height Formula

​GoLateral Edge Length of Square Pyramid Formula

​GoLateral Edge Length of Square Pyramid given Slant Height and Height Formula

Lateral Edge Length of Square Pyramid given Slant Height Example

Lateral Edge Length of Square Pyramid given Slant Height Solution

Lateral Edge Length of Square Pyramid given Slant Height 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 Slant Height?

FAQs on Lateral Edge Length of Square Pyramid given Slant Height

Variable Name

GoLateral Edge Length of Square Pyramid Formula

GoLateral Edge Length of Square Pyramid given Slant Height and Height Formula