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Volume of Square Pyramid given Lateral Edge Length and Height 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 h \cdot (2 \cdot ({l e(Lateral)}^{2} - h^{2}))

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

Volume of Square Pyramid given Lateral Edge Length and Height Example

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

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

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

640 = \frac{1}{3} \cdot 15 \cdot (2 \cdot (17^{2} - 15^{2}))

640m³ = \frac{1}{3} \cdot 15m \cdot (2 \cdot ({17m}^{2} - {15m}^{2}))

640 = \frac{1}{3} \cdot 15 \cdot (2 \cdot (17^{2} - 15^{2}))

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Volume of Square Pyramid given Lateral Edge Length and Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{1}{3} \cdot 15m \cdot (2 \cdot ({17m}^{2} - {15m}^{2}))

Next Step Prepare to Evaluate

∴

V = \frac{1}{3} \cdot 15 \cdot (2 \cdot (17^{2} - 15^{2}))

LAST Step Evaluate

∴

V = 640m³

Volume of Square Pyramid given Lateral Edge Length and Height Formula Elements

Variables

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

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

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

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

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

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

Volume of Square Pyramid given Lateral Edge Length and Height evaluator uses Volume of Square Pyramid = 1/3*Height of Square Pyramid*(2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2)) to evaluate the Volume of Square Pyramid, Volume of Square Pyramid given Lateral Edge Length and Height 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 and height of the Square Pyramid. Volume of Square Pyramid is denoted by V symbol.

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

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

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

The formula of Volume of Square Pyramid given Lateral Edge Length and Height is expressed as Volume of Square Pyramid = 1/3*Height of Square Pyramid*(2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2)). Here is an example- 640 = 1/3*15*(2*(17^2-15^2)).

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

With Height of Square Pyramid (h) & Lateral Edge Length of Square Pyramid (l_e(Lateral)) we can find Volume of Square Pyramid given Lateral Edge Length and Height using the formula - Volume of Square Pyramid = 1/3*Height of Square Pyramid*(2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2)).

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 and Height be negative?

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

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

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

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Volume of Square Pyramid given Lateral Edge Length and Height Formula

​GoVolume of Square Pyramid Formula

​GoVolume of Square Pyramid given Slant Height and Height Formula

Volume of Square Pyramid given Lateral Edge Length and Height Example

Volume of Square Pyramid given Lateral Edge Length and Height Solution

Volume of Square Pyramid given Lateral Edge Length and Height Formula Elements

Other Formulas to find Volume of Square Pyramid

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

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

Variable Name

GoVolume of Square Pyramid Formula

GoVolume of Square Pyramid given Slant Height and Height Formula