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Height of Square Pyramid given Volume Formula

GoHeight of Square Pyramid given Base Angle Formula

GoHeight of Square Pyramid given Lateral Edge Length Formula

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Height of Square Pyramid is the length of the perpendicular from the apex to the base of the Square Pyramid. Check FAQs

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

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

Height of Square Pyramid given Volume Example

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

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

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

15 = \frac{3 \cdot 500}{10^{2}}

15m = \frac{3 \cdot 500m³}{{10m}^{2}}

15 = \frac{3 \cdot 500}{10^{2}}

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Height of Square Pyramid given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \frac{3 \cdot 500m³}{{10m}^{2}}

Next Step Prepare to Evaluate

∴

h = \frac{3 \cdot 500}{10^{2}}

LAST Step Evaluate

∴

h = 15m

Height of Square Pyramid given Volume Formula Elements

Variables

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

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

Other Formulas to find Height of Square Pyramid

Go Height of Square Pyramid given Base Angle

h = \sqrt{\frac{{l e(Base)}^{2}}{4} + {h slant}^{2} - (l e(Base) \cdot h slant \cdot \cos (∠ Base))}

Go Height of Square Pyramid given Lateral Edge Length

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

Other formulas in Height of Square Pyramid category

Go Lateral Edge Length of Square Pyramid

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

Go Slant Height of Square Pyramid

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

Go Base Area of Square Pyramid

A Base = {l e(Base)}^{2}

Go Base Angle of Square Pyramid

∠ Base = \arccos (\frac{{(\frac{l e(Base)}{2})}^{2} + {h slant}^{2} - h^{2}}{l e(Base) \cdot h slant})

How to Evaluate Height of Square Pyramid given Volume?

Height of Square Pyramid given Volume evaluator uses Height of Square Pyramid = (3*Volume of Square Pyramid)/(Edge Length of Base of Square Pyramid^2) to evaluate the Height of Square Pyramid, Height of Square Pyramid given Volume formula is defined as the length of the perpendicular from the apex to the base of the Square Pyramid and is calculated using the volume of the Square Pyramid. Height of Square Pyramid is denoted by h symbol.

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

FAQs on Height of Square Pyramid given Volume

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

The formula of Height of Square Pyramid given Volume is expressed as Height of Square Pyramid = (3*Volume of Square Pyramid)/(Edge Length of Base of Square Pyramid^2). Here is an example- 15 = (3*500)/(10^2).

How to calculate Height of Square Pyramid given Volume?

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

What are the other ways to Calculate Height of Square Pyramid?

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

Height of Square Pyramid=sqrt((Edge Length of Base of Square Pyramid^2)/4+Slant Height of Square Pyramid^2-(Edge Length of Base of Square Pyramid*Slant Height of Square Pyramid*cos(Base Angle of Square Pyramid)))
Height of Square Pyramid=sqrt(Lateral Edge Length of Square Pyramid^2-(Edge Length of Base of Square Pyramid^2)/2)

Can the Height of Square Pyramid given Volume be negative?

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

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

Height 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 Height of Square Pyramid given Volume can be measured.

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Height of Square Pyramid given Volume Formula

​GoHeight of Square Pyramid given Base Angle Formula

​GoHeight of Square Pyramid given Lateral Edge Length Formula

Height of Square Pyramid given Volume Example

Height of Square Pyramid given Volume Solution

Height of Square Pyramid given Volume Formula Elements

Other Formulas to find Height of Square Pyramid

Other formulas in Height of Square Pyramid category

How to Evaluate Height of Square Pyramid given Volume?

FAQs on Height of Square Pyramid given Volume

Variable Name

GoHeight of Square Pyramid given Base Angle Formula

GoHeight of Square Pyramid given Lateral Edge Length Formula