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Lateral Edge Length of Square Pyramid given Volume 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{3 \cdot V}{{l e(Base)}^{2}})}^{2}}

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

Lateral Edge Length of Square Pyramid given Volume Example

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

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

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

16.5831 = \sqrt{\frac{10^{2}}{2} + {(\frac{3 \cdot 500}{10^{2}})}^{2}}

16.5831m = \sqrt{\frac{{10m}^{2}}{2} + {(\frac{3 \cdot 500m³}{{10m}^{2}})}^{2}}

16.5831 = \sqrt{\frac{10^{2}}{2} + {(\frac{3 \cdot 500}{10^{2}})}^{2}}

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Lateral Edge Length of Square Pyramid given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e(Lateral) = \sqrt{\frac{{10m}^{2}}{2} + {(\frac{3 \cdot 500m³}{{10m}^{2}})}^{2}}

Next Step Prepare to Evaluate

∴

l e(Lateral) = \sqrt{\frac{10^{2}}{2} + {(\frac{3 \cdot 500}{10^{2}})}^{2}}

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 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

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 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 Volume?

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

FAQs on Lateral Edge Length of Square Pyramid given Volume

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

The formula of Lateral Edge Length of Square Pyramid given Volume is expressed as Lateral Edge Length of Square Pyramid = sqrt((Edge Length of Base of Square Pyramid^2)/2+((3*Volume of Square Pyramid)/Edge Length of Base of Square Pyramid^2)^2). Here is an example- 16.58312 = sqrt((10^2)/2+((3*500)/10^2)^2).

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

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

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

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

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

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Lateral Edge Length of Square Pyramid given Volume 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 Volume Example

Lateral Edge Length of Square Pyramid given Volume Solution

Lateral Edge Length of Square Pyramid given Volume 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?

FAQs on Lateral Edge Length of Square Pyramid given Volume

Variable Name

GoLateral Edge Length of Square Pyramid Formula

GoLateral Edge Length of Square Pyramid given Slant Height Formula