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Slant Height of Square Pyramid given Lateral Edge Length Formula

GoSlant Height of Square Pyramid Formula

GoSlant Height of Square Pyramid given Lateral Edge Length and Height Formula

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

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

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

Slant Height of Square Pyramid given Lateral Edge Length Example

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

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

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

16.2481 = \sqrt{17^{2} - \frac{10^{2}}{4}}

16.2481m = \sqrt{{17m}^{2} - \frac{{10m}^{2}}{4}}

16.2481 = \sqrt{17^{2} - \frac{10^{2}}{4}}

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Slant Height of Square Pyramid given Lateral Edge Length Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h slant = \sqrt{{17m}^{2} - \frac{{10m}^{2}}{4}}

Next Step Prepare to Evaluate

∴

h slant = \sqrt{17^{2} - \frac{10^{2}}{4}}

Next Step Evaluate

∴

h slant = 16.2480768092719m

LAST Step Rounding Answer

∴

h slant = 16.2481m

Slant Height of Square Pyramid given Lateral Edge Length Formula Elements

Variables

Functions

Slant Height of Square Pyramid

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

Go Slant Height of Square Pyramid

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

Go Slant Height of Square Pyramid given Lateral Edge Length and Height

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

Go Slant Height of Square Pyramid given Total Surface Area

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

Go Slant Height of Square Pyramid given Volume

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

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

Slant Height of Square Pyramid given Lateral Edge Length evaluator uses Slant Height of Square Pyramid = sqrt(Lateral Edge Length of Square Pyramid^2-(Edge Length of Base of Square Pyramid^2)/4) to evaluate the Slant Height of Square Pyramid, Slant Height of Square Pyramid given Lateral Edge Length formula is defined as the length measured along the lateral face from the base to the apex of the Square Pyramid along the center of the face and is calculated using the lateral edge length of the Square Pyramid. Slant Height of Square Pyramid is denoted by h_slant symbol.

How to evaluate Slant Height of Square Pyramid given Lateral Edge Length using this online evaluator? To use this online evaluator for Slant 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 Slant Height of Square Pyramid given Lateral Edge Length

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

The formula of Slant Height of Square Pyramid given Lateral Edge Length is expressed as Slant Height of Square Pyramid = sqrt(Lateral Edge Length of Square Pyramid^2-(Edge Length of Base of Square Pyramid^2)/4). Here is an example- 16.24808 = sqrt(17^2-(10^2)/4).

How to calculate Slant 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 Slant Height of Square Pyramid given Lateral Edge Length using the formula - Slant Height of Square Pyramid = sqrt(Lateral Edge Length of Square Pyramid^2-(Edge Length of Base of Square Pyramid^2)/4). This formula also uses Square Root (sqrt) function(s).

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

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

Slant Height of Square Pyramid=sqrt((Edge Length of Base of Square Pyramid^2)/4+Height of Square Pyramid^2)
Slant Height of Square Pyramid=sqrt(Height of Square Pyramid^2+(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2)/2)
Slant Height of Square Pyramid=sqrt((Edge Length of Base of Square Pyramid^2)/4+(((Total Surface Area of Square Pyramid-Edge Length of Base of Square Pyramid^2)/Edge Length of Base of Square Pyramid)^2-Edge Length of Base of Square Pyramid^2)/4)

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

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

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

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

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Slant Height of Square Pyramid given Lateral Edge Length Formula

​GoSlant Height of Square Pyramid Formula

​GoSlant Height of Square Pyramid given Lateral Edge Length and Height Formula

Slant Height of Square Pyramid given Lateral Edge Length Example

Slant Height of Square Pyramid given Lateral Edge Length Solution

Slant Height of Square Pyramid given Lateral Edge Length Formula Elements

Other Formulas to find Slant Height of Square Pyramid

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

FAQs on Slant Height of Square Pyramid given Lateral Edge Length

Variable Name

GoSlant Height of Square Pyramid Formula

GoSlant Height of Square Pyramid given Lateral Edge Length and Height Formula