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Volume of Square Pyramid given Lateral Edge Length Formula

GoVolume of Square Pyramid Formula

GoVolume of Square Pyramid given Slant Height and Height Formula

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

V = \frac{1}{3} \cdot {l e(Base)}^{2} \cdot \sqrt{{l e(Lateral)}^{2} - \frac{{l e(Base)}^{2}}{2}}

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

Volume of Square Pyramid given Lateral Edge Length Example

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

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

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

515.3208 = \frac{1}{3} \cdot 10^{2} \cdot \sqrt{17^{2} - \frac{10^{2}}{2}}

515.3208m³ = \frac{1}{3} \cdot {10m}^{2} \cdot \sqrt{{17m}^{2} - \frac{{10m}^{2}}{2}}

515.3208 = \frac{1}{3} \cdot 10^{2} \cdot \sqrt{17^{2} - \frac{10^{2}}{2}}

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Volume of Square Pyramid given Lateral Edge Length Solution

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

FIRST Step Consider the formula

V = \frac{1}{3} \cdot {l e(Base)}^{2} \cdot \sqrt{{l e(Lateral)}^{2} - \frac{{l e(Base)}^{2}}{2}}

Next Step Substitute values of Variables

∴

V = \frac{1}{3} \cdot {10m}^{2} \cdot \sqrt{{17m}^{2} - \frac{{10m}^{2}}{2}}

Next Step Prepare to Evaluate

∴

V = \frac{1}{3} \cdot 10^{2} \cdot \sqrt{17^{2} - \frac{10^{2}}{2}}

Next Step Evaluate

∴

V = 515.320827791344m³

LAST Step Rounding Answer

∴

V = 515.3208m³

Volume of Square Pyramid given Lateral Edge Length Formula Elements

Variables

Functions

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

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

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

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 Volume of Square Pyramid

Go Volume of Square Pyramid

V = \frac{{l e(Base)}^{2} \cdot h}{3}

Go Volume of Square Pyramid given Slant Height and Height

V = \frac{1}{3} \cdot h \cdot (4 \cdot ({h slant}^{2} - h^{2}))

Go Volume of Square Pyramid given Slant Height

V = \frac{1}{3} \cdot {l e(Base)}^{2} \cdot \sqrt{{h slant}^{2} - \frac{{l e(Base)}^{2}}{4}}

Go Volume of Square Pyramid given Lateral Edge Length and Height

V = \frac{1}{3} \cdot h \cdot (2 \cdot ({l e(Lateral)}^{2} - h^{2}))

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

Volume of Square Pyramid given Lateral Edge Length evaluator uses Volume of Square Pyramid = 1/3*Edge Length of Base of Square Pyramid^2*sqrt(Lateral Edge Length of Square Pyramid^2-(Edge Length of Base of Square Pyramid^2)/2) to evaluate the Volume of Square Pyramid, Volume of Square Pyramid given Lateral Edge Length formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Square Pyramid and is calculated using the lateral edge length of the Square Pyramid. Volume of Square Pyramid is denoted by V symbol.

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

FAQs on Volume of Square Pyramid given Lateral Edge Length

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

The formula of Volume of Square Pyramid given Lateral Edge Length is expressed as Volume of Square Pyramid = 1/3*Edge Length of Base of Square Pyramid^2*sqrt(Lateral Edge Length of Square Pyramid^2-(Edge Length of Base of Square Pyramid^2)/2). Here is an example- 515.3208 = 1/3*10^2*sqrt(17^2-(10^2)/2).

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

With Edge Length of Base of Square Pyramid (l_e(Base)) & Lateral Edge Length of Square Pyramid (l_e(Lateral)) we can find Volume of Square Pyramid given Lateral Edge Length using the formula - Volume of Square Pyramid = 1/3*Edge Length of Base of Square Pyramid^2*sqrt(Lateral Edge Length of Square Pyramid^2-(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 Volume of Square Pyramid?

Here are the different ways to Calculate Volume of Square Pyramid-

Volume of Square Pyramid=(Edge Length of Base of Square Pyramid^2*Height of Square Pyramid)/3
Volume of Square Pyramid=1/3*Height of Square Pyramid*(4*(Slant Height of Square Pyramid^2-Height of Square Pyramid^2))
Volume of Square Pyramid=1/3*Edge Length of Base of Square Pyramid^2*sqrt(Slant Height of Square Pyramid^2-(Edge Length of Base of Square Pyramid^2)/4)

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

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

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

Volume of Square Pyramid given Lateral Edge Length is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Square Pyramid given Lateral Edge Length can be measured.

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Volume of Square Pyramid given Lateral Edge Length Formula

​GoVolume of Square Pyramid Formula

​GoVolume of Square Pyramid given Slant Height and Height Formula

Volume of Square Pyramid given Lateral Edge Length Example

Volume of Square Pyramid given Lateral Edge Length Solution

Volume of Square Pyramid given Lateral Edge Length Formula Elements

Other Formulas to find Volume of Square Pyramid

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

FAQs on Volume of Square Pyramid given Lateral Edge Length

Variable Name

GoVolume of Square Pyramid Formula

GoVolume of Square Pyramid given Slant Height and Height Formula