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Volume of Right Square Pyramid given Slant Height Formula

GoVolume of Right Square Pyramid Formula

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

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

V - Volume of Right Square Pyramid?l_e(Base) - Edge Length of Base of Right Square Pyramid?h_slant - Slant Height of Right Square Pyramid?

Volume of Right Square Pyramid given Slant Height Example

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Here is how the Volume of Right Square Pyramid given Slant Height equation looks like with Values.

Here is how the Volume of Right Square Pyramid given Slant Height equation looks like with Units.

Here is how the Volume of Right Square Pyramid given Slant Height equation looks like.

506.6228 = \frac{10^{2} \cdot \sqrt{16^{2} - \frac{10^{2}}{4}}}{3}

506.6228m³ = \frac{{10m}^{2} \cdot \sqrt{{16m}^{2} - \frac{{10m}^{2}}{4}}}{3}

506.6228 = \frac{10^{2} \cdot \sqrt{16^{2} - \frac{10^{2}}{4}}}{3}

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Volume of Right Square Pyramid given Slant Height Solution

Follow our step by step solution on how to calculate Volume of Right Square Pyramid given Slant Height?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{{10m}^{2} \cdot \sqrt{{16m}^{2} - \frac{{10m}^{2}}{4}}}{3}

Next Step Prepare to Evaluate

∴

V = \frac{10^{2} \cdot \sqrt{16^{2} - \frac{10^{2}}{4}}}{3}

Next Step Evaluate

∴

V = 506.622805119022m³

LAST Step Rounding Answer

∴

V = 506.6228m³

Volume of Right Square Pyramid given Slant Height Formula Elements

Variables

Functions

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

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

Slant Height of Right Square Pyramid

Slant Height of Right Square Pyramid is the length measured along the lateral face from the base to the apex of the Right Square Pyramid along the center of the face.

Symbol: h_slant

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Slant Height 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 Volume of Right Square Pyramid

Go Volume of Right Square Pyramid

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

How to Evaluate Volume of Right Square Pyramid given Slant Height?

Volume of Right Square Pyramid given Slant Height evaluator uses Volume of Right Square Pyramid = (Edge Length of Base of Right Square Pyramid^2*sqrt(Slant Height of Right Square Pyramid^2-Edge Length of Base of Right Square Pyramid^2/4))/3 to evaluate the Volume of Right Square Pyramid, Volume of Right Square Pyramid given Slant Height formula is defined as the total quantity of three-dimensional space enclosed on the surface of the Right Square Pyramid and is calculated using the slant height of the Right Square Pyramid. Volume of Right Square Pyramid is denoted by V symbol.

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

FAQs on Volume of Right Square Pyramid given Slant Height

What is the formula to find Volume of Right Square Pyramid given Slant Height?

The formula of Volume of Right Square Pyramid given Slant Height is expressed as Volume of Right Square Pyramid = (Edge Length of Base of Right Square Pyramid^2*sqrt(Slant Height of Right Square Pyramid^2-Edge Length of Base of Right Square Pyramid^2/4))/3. Here is an example- 506.6228 = (10^2*sqrt(16^2-10^2/4))/3.

How to calculate Volume of Right Square Pyramid given Slant Height?

With Edge Length of Base of Right Square Pyramid (l_e(Base)) & Slant Height of Right Square Pyramid (h_slant) we can find Volume of Right Square Pyramid given Slant Height using the formula - Volume of Right Square Pyramid = (Edge Length of Base of Right Square Pyramid^2*sqrt(Slant Height of Right Square Pyramid^2-Edge Length of Base of Right Square Pyramid^2/4))/3. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Right Square Pyramid?

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

Volume of Right Square Pyramid=(Edge Length of Base of Right Square Pyramid^2*Height of Right Square Pyramid)/3

Can the Volume of Right Square Pyramid given Slant Height be negative?

No, the Volume of Right Square Pyramid given Slant Height, measured in Volume cannot be negative.

Which unit is used to measure Volume of Right Square Pyramid given Slant Height?

Volume of Right Square Pyramid given Slant 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 Right Square Pyramid given Slant Height can be measured.

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Volume of Right Square Pyramid given Slant Height Formula

​GoVolume of Right Square Pyramid Formula

Volume of Right Square Pyramid given Slant Height Example

Volume of Right Square Pyramid given Slant Height Solution

Volume of Right Square Pyramid given Slant Height Formula Elements

Other Formulas to find Volume of Right Square Pyramid

How to Evaluate Volume of Right Square Pyramid given Slant Height?

FAQs on Volume of Right Square Pyramid given Slant Height

Variable Name

GoVolume of Right Square Pyramid Formula