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Height of Square Pyramid given Lateral Edge Length Formula

GoHeight of Square Pyramid given Base Angle Formula

GoHeight of Square Pyramid given Volume 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 = \sqrt{{l e(Lateral)}^{2} - \frac{{l e(Base)}^{2}}{2}}

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

Height of Square Pyramid given Lateral Edge Length Example

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

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

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

15.4596 = \sqrt{17^{2} - \frac{10^{2}}{2}}

15.4596m = \sqrt{{17m}^{2} - \frac{{10m}^{2}}{2}}

15.4596 = \sqrt{17^{2} - \frac{10^{2}}{2}}

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Height of Square Pyramid given Lateral Edge Length Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \sqrt{{17m}^{2} - \frac{{10m}^{2}}{2}}

Next Step Prepare to Evaluate

∴

h = \sqrt{17^{2} - \frac{10^{2}}{2}}

Next Step Evaluate

∴

h = 15.4596248337403m

LAST Step Rounding Answer

∴

h = 15.4596m

Height of Square Pyramid given Lateral Edge Length Formula Elements

Variables

Functions

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

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

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 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 Volume

h = \frac{3 \cdot V}{{l e(Base)}^{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 Lateral Edge Length?

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

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

FAQs on Height of Square Pyramid given Lateral Edge Length

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

The formula of Height of Square Pyramid given Lateral Edge Length is expressed as Height of Square Pyramid = sqrt(Lateral Edge Length of Square Pyramid^2-(Edge Length of Base of Square Pyramid^2)/2). Here is an example- 15.45962 = sqrt(17^2-(10^2)/2).

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

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

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

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

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

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

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Height of Square Pyramid given Lateral Edge Length Formula

​GoHeight of Square Pyramid given Base Angle Formula

​GoHeight of Square Pyramid given Volume Formula

Height of Square Pyramid given Lateral Edge Length Example

Height of Square Pyramid given Lateral Edge Length Solution

Height of Square Pyramid given Lateral Edge Length 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 Lateral Edge Length?

FAQs on Height of Square Pyramid given Lateral Edge Length

Variable Name

GoHeight of Square Pyramid given Base Angle Formula

GoHeight of Square Pyramid given Volume Formula