FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Edge Length of Base of Square Pyramid given Lateral Edge Length Formula

GoEdge Length of Base of Square Pyramid given Slant Height Formula

Fx Copy

LaTeX Copy

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. Check FAQs

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

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

Edge Length of Base of Square Pyramid given Lateral Edge Length Example

With values

With units

Only example

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

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

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

11.3137 = \sqrt{2 \cdot (17^{2} - 15^{2})}

11.3137m = \sqrt{2 \cdot ({17m}^{2} - {15m}^{2})}

11.3137 = \sqrt{2 \cdot (17^{2} - 15^{2})}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Edge Length of Base of Square Pyramid given Lateral Edge Length

Edge Length of Base of Square Pyramid given Lateral Edge Length Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e(Base) = \sqrt{2 \cdot ({17m}^{2} - {15m}^{2})}

Next Step Prepare to Evaluate

∴

l e(Base) = \sqrt{2 \cdot (17^{2} - 15^{2})}

Next Step Evaluate

∴

l e(Base) = 11.3137084989848m

LAST Step Rounding Answer

∴

l e(Base) = 11.3137m

Edge Length of Base of Square Pyramid given Lateral Edge Length Formula Elements

Variables

Functions

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

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

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

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 Edge Length of Base of Square Pyramid

Go Edge Length of Base of Square Pyramid given Slant Height

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

Other formulas in Edge Length 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 Edge Length of Base of Square Pyramid given Lateral Edge Length?

Edge Length of Base of Square Pyramid given Lateral Edge Length evaluator uses Edge Length of Base of Square Pyramid = sqrt(2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2)) to evaluate the Edge Length of Base of Square Pyramid, Edge Length of Base of Square Pyramid given Lateral Edge Length formula is defined the length of the straight line connecting any two adjacent vertices of the base of the Square Pyramid and is calculated using the lateral edge length of the Square Pyramid. Edge Length of Base of Square Pyramid is denoted by l_e(Base) symbol.

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

FAQs on Edge Length of Base of Square Pyramid given Lateral Edge Length

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

The formula of Edge Length of Base of Square Pyramid given Lateral Edge Length is expressed as Edge Length of Base of Square Pyramid = sqrt(2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2)). Here is an example- 11.31371 = sqrt(2*(17^2-15^2)).

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

With Lateral Edge Length of Square Pyramid (l_e(Lateral)) & Height of Square Pyramid (h) we can find Edge Length of Base of Square Pyramid given Lateral Edge Length using the formula - Edge Length of Base of Square Pyramid = sqrt(2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Edge Length of Base of Square Pyramid?

Here are the different ways to Calculate Edge Length of Base of Square Pyramid-

Edge Length of Base of Square Pyramid=2*sqrt(Slant Height of Square Pyramid^2-Height of Square Pyramid^2)

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

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

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Edge Length of Base of Square Pyramid given Lateral Edge Length Formula

​GoEdge Length of Base of Square Pyramid given Slant Height Formula

Edge Length of Base of Square Pyramid given Lateral Edge Length Example

Edge Length of Base of Square Pyramid given Lateral Edge Length Solution

Edge Length of Base of Square Pyramid given Lateral Edge Length Formula Elements

Other Formulas to find Edge Length of Base of Square Pyramid

Other formulas in Edge Length of Square Pyramid category

How to Evaluate Edge Length of Base of Square Pyramid given Lateral Edge Length?

FAQs on Edge Length of Base of Square Pyramid given Lateral Edge Length

Variable Name

GoEdge Length of Base of Square Pyramid given Slant Height Formula