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Lateral Surface Area of Square Pyramid Formula

GoLateral Surface Area of Square Pyramid given Slant Height Formula

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Lateral Surface Area of Square Pyramid is the total amount of two-dimensional space occupied on all the faces of the Square Pyramid, excluding the area of the base of the Square Pyramid. Check FAQs

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

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

Lateral Surface Area of Square Pyramid Example

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Here is how the Lateral Surface Area of Square Pyramid equation looks like with Values.

Here is how the Lateral Surface Area of Square Pyramid equation looks like with Units.

Here is how the Lateral Surface Area of Square Pyramid equation looks like.

316.2278 = 2 \cdot 10 \cdot \sqrt{\frac{10^{2}}{4} + 15^{2}}

316.2278m² = 2 \cdot 10m \cdot \sqrt{\frac{{10m}^{2}}{4} + {15m}^{2}}

316.2278 = 2 \cdot 10 \cdot \sqrt{\frac{10^{2}}{4} + 15^{2}}

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Lateral Surface Area of Square Pyramid Solution

Follow our step by step solution on how to calculate Lateral Surface Area of Square Pyramid?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

LSA = 316.227766016838m²

LAST Step Rounding Answer

∴

LSA = 316.2278m²

Lateral Surface Area of Square Pyramid Formula Elements

Variables

Functions

Lateral Surface Area of Square Pyramid

Lateral Surface Area of Square Pyramid is the total amount of two-dimensional space occupied on all the faces of the Square Pyramid, excluding the area of the base of the Square Pyramid.

Symbol: LSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Lateral Surface Area 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 Lateral Surface Area of Square Pyramid

Go Lateral Surface Area of Square Pyramid given Slant Height

LSA = 2 \cdot l e(Base) \cdot h slant

Other formulas in Surface Area 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 Lateral Surface Area of Square Pyramid?

Lateral Surface Area of Square Pyramid evaluator uses Lateral Surface Area of Square Pyramid = 2*Edge Length of Base of Square Pyramid*sqrt((Edge Length of Base of Square Pyramid^2)/4+Height of Square Pyramid^2) to evaluate the Lateral Surface Area of Square Pyramid, Lateral Surface Area of Square Pyramid formula is defined as the total amount of two-dimensional space occupied on all the faces of the Square Pyramid, excluding the area of the base of the Square Pyramid. Lateral Surface Area of Square Pyramid is denoted by LSA symbol.

How to evaluate Lateral Surface Area of Square Pyramid using this online evaluator? To use this online evaluator for Lateral Surface Area 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 Lateral Surface Area of Square Pyramid

What is the formula to find Lateral Surface Area of Square Pyramid?

The formula of Lateral Surface Area of Square Pyramid is expressed as Lateral Surface Area of Square Pyramid = 2*Edge Length of Base of Square Pyramid*sqrt((Edge Length of Base of Square Pyramid^2)/4+Height of Square Pyramid^2). Here is an example- 316.2278 = 2*10*sqrt((10^2)/4+15^2).

How to calculate Lateral Surface Area of Square Pyramid?

With Edge Length of Base of Square Pyramid (l_e(Base)) & Height of Square Pyramid (h) we can find Lateral Surface Area of Square Pyramid using the formula - Lateral Surface Area of Square Pyramid = 2*Edge Length of Base of Square Pyramid*sqrt((Edge Length of Base of Square Pyramid^2)/4+Height of Square Pyramid^2). This formula also uses Square Root Function function(s).

What are the other ways to Calculate Lateral Surface Area of Square Pyramid?

Here are the different ways to Calculate Lateral Surface Area of Square Pyramid-

Lateral Surface Area of Square Pyramid=2*Edge Length of Base of Square Pyramid*Slant Height of Square Pyramid

Can the Lateral Surface Area of Square Pyramid be negative?

No, the Lateral Surface Area of Square Pyramid, measured in Area cannot be negative.

Which unit is used to measure Lateral Surface Area of Square Pyramid?

Lateral Surface Area of Square Pyramid is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Lateral Surface Area of Square Pyramid can be measured.

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Lateral Surface Area of Square Pyramid Formula

​GoLateral Surface Area of Square Pyramid given Slant Height Formula

Lateral Surface Area of Square Pyramid Example

Lateral Surface Area of Square Pyramid Solution

Lateral Surface Area of Square Pyramid Formula Elements

Other Formulas to find Lateral Surface Area of Square Pyramid

Other formulas in Surface Area of Square Pyramid category

How to Evaluate Lateral Surface Area of Square Pyramid?

FAQs on Lateral Surface Area of Square Pyramid

Variable Name

GoLateral Surface Area of Square Pyramid given Slant Height Formula