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Lateral Edge Length of Right Square Pyramid given Volume Formula

GoLateral Edge Length of Right Square Pyramid Formula

GoLateral Edge Length of Right Square Pyramid given Slant Height Formula

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Lateral Edge Length of Right Square Pyramid is the length of the straight line connecting any base vertex to the apex of the Right 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 Right Square Pyramid?l_e(Base) - Edge Length of Base of Right Square Pyramid?V - Volume of Right Square Pyramid?

Lateral Edge Length of Right Square Pyramid given Volume Example

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

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

Here is how the Lateral Edge Length of Right 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 Right Square Pyramid given Volume Solution

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

Variables

Functions

Lateral Edge Length of Right Square Pyramid

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

Symbol: l_e(Lateral)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Lateral Edge Length of Right Square Pyramid

Edge Length of Base of Right Square Pyramid

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

Symbol: l_e(Base)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Base of Right Square Pyramid

Volume of Right Square Pyramid

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Right 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 Right Square Pyramid

Go Lateral Edge Length of Right Square Pyramid

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

Go Lateral Edge Length of Right Square Pyramid given Slant Height

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

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

Lateral Edge Length of Right Square Pyramid given Volume evaluator uses Lateral Edge Length of Right Square Pyramid = sqrt(Edge Length of Base of Right Square Pyramid^2/2+((3*Volume of Right Square Pyramid)/Edge Length of Base of Right Square Pyramid^2)^2) to evaluate the Lateral Edge Length of Right Square Pyramid, Lateral Edge Length of Right Square Pyramid given Volume formula is defined as the length of the straight line connecting any base vertex to the apex of the Right Square Pyramid and is calculated using the volume of the Right Square Pyramid. Lateral Edge Length of Right Square Pyramid is denoted by l_e(Lateral) symbol.

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

FAQs on Lateral Edge Length of Right Square Pyramid given Volume

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

The formula of Lateral Edge Length of Right Square Pyramid given Volume is expressed as Lateral Edge Length of Right Square Pyramid = sqrt(Edge Length of Base of Right Square Pyramid^2/2+((3*Volume of Right Square Pyramid)/Edge Length of Base of Right 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 Right Square Pyramid given Volume?

With Edge Length of Base of Right Square Pyramid (l_e(Base)) & Volume of Right Square Pyramid (V) we can find Lateral Edge Length of Right Square Pyramid given Volume using the formula - Lateral Edge Length of Right Square Pyramid = sqrt(Edge Length of Base of Right Square Pyramid^2/2+((3*Volume of Right Square Pyramid)/Edge Length of Base of Right Square Pyramid^2)^2). This formula also uses Square Root (sqrt) function(s).

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

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

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

Can the Lateral Edge Length of Right Square Pyramid given Volume be negative?

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

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

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

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Lateral Edge Length of Right Square Pyramid given Volume Formula

​GoLateral Edge Length of Right Square Pyramid Formula

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

Lateral Edge Length of Right Square Pyramid given Volume Example

Lateral Edge Length of Right Square Pyramid given Volume Solution

Lateral Edge Length of Right Square Pyramid given Volume Formula Elements

Other Formulas to find Lateral Edge Length of Right Square Pyramid

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

FAQs on Lateral Edge Length of Right Square Pyramid given Volume

Variable Name

GoLateral Edge Length of Right Square Pyramid Formula

GoLateral Edge Length of Right Square Pyramid given Slant Height Formula