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Lateral Edge Length of Square Pyramid given Volume and Height Formula

GoLateral Edge Length of Square Pyramid Formula

GoLateral Edge Length of Square Pyramid given Base Angle 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{h^{2} + (\frac{3}{2} \cdot \frac{V}{h})}

l_e(Lateral) - Lateral Edge Length of Square Pyramid?h - Height of Square Pyramid?V - Volume of Square Pyramid?

Lateral Edge Length of Square Pyramid given Volume and Height Example

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Here is how the Lateral Edge Length of Square Pyramid given Volume and Height equation looks like with Values.

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

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

16.5831 = \sqrt{15^{2} + (\frac{3}{2} \cdot \frac{500}{15})}

16.5831m = \sqrt{{15m}^{2} + (\frac{3}{2} \cdot \frac{500m³}{15m})}

16.5831 = \sqrt{15^{2} + (\frac{3}{2} \cdot \frac{500}{15})}

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Lateral Edge Length of Square Pyramid given Volume and Height Solution

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

FIRST Step Consider the formula

l e(Lateral) = \sqrt{h^{2} + (\frac{3}{2} \cdot \frac{V}{h})}

Next Step Substitute values of Variables

∴

l e(Lateral) = \sqrt{{15m}^{2} + (\frac{3}{2} \cdot \frac{500m³}{15m})}

Next Step Prepare to Evaluate

∴

l e(Lateral) = \sqrt{15^{2} + (\frac{3}{2} \cdot \frac{500}{15})}

Next Step Evaluate

∴

l e(Lateral) = 16.583123951777m

LAST Step Rounding Answer

∴

l e(Lateral) = 16.5831m

Lateral Edge Length of Square Pyramid given Volume and 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

Height of Square Pyramid

Height of Square Pyramid is the length of the perpendicular from the apex to the base of the Square Pyramid.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Square Pyramid

Volume of Square Pyramid

Volume of Square Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Square Pyramid.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 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 Slant Height of Square Pyramid

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

Go Base Area of Square Pyramid

A Base = {l e(Base)}^{2}

Go Base Angle of Square Pyramid

∠ Base = \arccos (\frac{{(\frac{l e(Base)}{2})}^{2} + {h slant}^{2} - h^{2}}{l e(Base) \cdot h slant})

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

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

How to Evaluate Lateral Edge Length of Square Pyramid given Volume and Height?

Lateral Edge Length of Square Pyramid given Volume and Height evaluator uses Lateral Edge Length of Square Pyramid = sqrt(Height of Square Pyramid^2+(3/2*Volume of Square Pyramid/Height of Square Pyramid)) to evaluate the Lateral Edge Length of Square Pyramid, Lateral Edge Length of Square Pyramid given Volume and 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 volume and 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 Volume and Height using this online evaluator? To use this online evaluator for Lateral Edge Length of Square Pyramid given Volume and Height, enter Height of Square Pyramid (h) & Volume of Square Pyramid (V) and hit the calculate button.

FAQs on Lateral Edge Length of Square Pyramid given Volume and Height

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

The formula of Lateral Edge Length of Square Pyramid given Volume and Height is expressed as Lateral Edge Length of Square Pyramid = sqrt(Height of Square Pyramid^2+(3/2*Volume of Square Pyramid/Height of Square Pyramid)). Here is an example- 16.58312 = sqrt(15^2+(3/2*500/15)).

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

With Height of Square Pyramid (h) & Volume of Square Pyramid (V) we can find Lateral Edge Length of Square Pyramid given Volume and Height using the formula - Lateral Edge Length of Square Pyramid = sqrt(Height of Square Pyramid^2+(3/2*Volume of Square Pyramid/Height of Square Pyramid)). 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((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 Volume and Height be negative?

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

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

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

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Lateral Edge Length of Square Pyramid given Volume and Height Formula

​GoLateral Edge Length of Square Pyramid Formula

​GoLateral Edge Length of Square Pyramid given Base Angle Formula

Lateral Edge Length of Square Pyramid given Volume and Height Example

Lateral Edge Length of Square Pyramid given Volume and Height Solution

Lateral Edge Length of Square Pyramid given Volume and 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 Volume and Height?

FAQs on Lateral Edge Length of Square Pyramid given Volume and Height

Variable Name

GoLateral Edge Length of Square Pyramid Formula

GoLateral Edge Length of Square Pyramid given Base Angle Formula