FormulaDen.com

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

Slant Height of Square Pyramid Formula

GoSlant Height of Square Pyramid given Total Surface Area Formula

Fx Copy

LaTeX Copy

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

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

Slant Height of Square Pyramid Example

With values

With units

Only example

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

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

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

15.8114 = \sqrt{\frac{10^{2}}{4} + 15^{2}}

15.8114m = \sqrt{\frac{{10m}^{2}}{4} + {15m}^{2}}

15.8114 = \sqrt{\frac{10^{2}}{4} + 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 Slant Height of Square Pyramid

Slant Height of Square Pyramid Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h slant = \sqrt{\frac{{10m}^{2}}{4} + {15m}^{2}}

Next Step Prepare to Evaluate

∴

h slant = \sqrt{\frac{10^{2}}{4} + 15^{2}}

Next Step Evaluate

∴

h slant = 15.8113883008419m

LAST Step Rounding Answer

∴

h slant = 15.8114m

Slant Height of Square Pyramid 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

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

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 Slant Height of Square Pyramid

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}}

Other formulas in Slant 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 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})

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

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

How to Evaluate Slant Height of Square Pyramid?

Slant Height of Square Pyramid evaluator uses Slant Height of Square Pyramid = sqrt((Edge Length of Base of Square Pyramid^2)/4+Height of Square Pyramid^2) to evaluate the Slant Height of Square Pyramid, Slant Height of Square Pyramid 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. Slant Height of Square Pyramid is denoted by h_slant symbol.

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

FAQs on Slant Height of Square Pyramid

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

The formula of Slant Height of Square Pyramid is expressed as Slant Height of Square Pyramid = sqrt((Edge Length of Base of Square Pyramid^2)/4+Height of Square Pyramid^2). Here is an example- 15.81139 = sqrt((10^2)/4+15^2).

How to calculate Slant Height of Square Pyramid?

With Edge Length of Base of Square Pyramid (l_e(Base)) & Height of Square Pyramid (h) we can find Slant Height of Square Pyramid using the formula - Slant Height of Square Pyramid = sqrt((Edge Length of Base of Square Pyramid^2)/4+Height of Square Pyramid^2). 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+(((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 be negative?

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

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

Slant Height of Square Pyramid 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 can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Slant Height of Square Pyramid Formula

​GoSlant Height of Square Pyramid given Total Surface Area Formula

Slant Height of Square Pyramid Example

Slant Height of Square Pyramid Solution

Slant Height of Square Pyramid Formula Elements

Other Formulas to find Slant Height of Square Pyramid

Other formulas in Slant Height of Square Pyramid category

How to Evaluate Slant Height of Square Pyramid?

FAQs on Slant Height of Square Pyramid

Variable Name

GoSlant Height of Square Pyramid given Total Surface Area Formula