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Total Surface Area of Square Pyramid given Lateral Edge Length and Height Formula

GoTotal Surface Area of Square Pyramid given Slant Height Formula

GoTotal Surface Area of Square Pyramid Formula

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Total Surface Area of Square Pyramid is the total amount of two-dimensional space occupied on all the faces of the Square Pyramid. Check FAQs

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

TSA - Total Surface Area of Square Pyramid?l_e(Lateral) - Lateral Edge Length of Square Pyramid?h - Height of Square Pyramid?

Total Surface Area of Square Pyramid given Lateral Edge Length and Height Example

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

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

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

490.7451 = (2 \cdot (17^{2} - 15^{2})) + (\sqrt{2 \cdot (17^{2} - 15^{2})} \cdot \sqrt{2 \cdot (17^{2} + 15^{2})})

490.7451m² = (2 \cdot ({17m}^{2} - {15m}^{2})) + (\sqrt{2 \cdot ({17m}^{2} - {15m}^{2})} \cdot \sqrt{2 \cdot ({17m}^{2} + {15m}^{2})})

490.7451 = (2 \cdot (17^{2} - 15^{2})) + (\sqrt{2 \cdot (17^{2} - 15^{2})} \cdot \sqrt{2 \cdot (17^{2} + 15^{2})})

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Total Surface Area of Square Pyramid given Lateral Edge Length and Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

TSA = 490.745089560148m²

LAST Step Rounding Answer

∴

TSA = 490.7451m²

Total Surface Area of Square Pyramid given Lateral Edge Length and Height Formula Elements

Variables

Functions

Total Surface Area of Square Pyramid

Total Surface Area of Square Pyramid is the total amount of two-dimensional space occupied on all the faces of the Square Pyramid.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

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

Go Total Surface Area of Square Pyramid given Slant Height

TSA = (2 \cdot l e(Base) \cdot h slant) + {l e(Base)}^{2}

Go Total Surface Area of Square Pyramid

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

Go Total Surface Area of Square Pyramid given Slant Height and Height

TSA = (4 \cdot ({h slant}^{2} - h^{2})) + (4 \cdot h slant \cdot \sqrt{{h slant}^{2} - h^{2}})

Go Total Surface Area of Square Pyramid given Lateral Edge Length

TSA = {l e(Base)}^{2} + (l e(Base) \cdot \sqrt{(4 \cdot {l e(Lateral)}^{2}) - {l e(Base)}^{2}})

Other formulas in Surface Area of Square Pyramid category

Go Base Area of Square Pyramid

A Base = {l e(Base)}^{2}

Go Lateral Surface Area of Square Pyramid given Slant Height

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

Go Lateral Surface Area of Square Pyramid

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

How to Evaluate Total Surface Area of Square Pyramid given Lateral Edge Length and Height?

Total Surface Area of Square Pyramid given Lateral Edge Length and Height evaluator uses Total Surface Area of Square Pyramid = (2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2))+(sqrt(2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2))*sqrt(2*(Lateral Edge Length of Square Pyramid^2+Height of Square Pyramid^2))) to evaluate the Total Surface Area of Square Pyramid, Total Surface Area of Square Pyramid given Lateral Edge Length and Height formula is defined as the total amount of two-dimensional space occupied on all the faces of the Square Pyramid and is calculated using the lateral edge length and height of the Square Pyramid. Total Surface Area of Square Pyramid is denoted by TSA symbol.

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

FAQs on Total Surface Area of Square Pyramid given Lateral Edge Length and Height

What is the formula to find Total Surface Area of Square Pyramid given Lateral Edge Length and Height?

The formula of Total Surface Area of Square Pyramid given Lateral Edge Length and Height is expressed as Total Surface Area of Square Pyramid = (2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2))+(sqrt(2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2))*sqrt(2*(Lateral Edge Length of Square Pyramid^2+Height of Square Pyramid^2))). Here is an example- 490.7451 = (2*(17^2-15^2))+(sqrt(2*(17^2-15^2))*sqrt(2*(17^2+15^2))).

How to calculate Total Surface Area of Square Pyramid given Lateral Edge Length and Height?

With Lateral Edge Length of Square Pyramid (l_e(Lateral)) & Height of Square Pyramid (h) we can find Total Surface Area of Square Pyramid given Lateral Edge Length and Height using the formula - Total Surface Area of Square Pyramid = (2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2))+(sqrt(2*(Lateral Edge Length of Square Pyramid^2-Height of Square Pyramid^2))*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 Total Surface Area of Square Pyramid?

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

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

Can the Total Surface Area of Square Pyramid given Lateral Edge Length and Height be negative?

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

Which unit is used to measure Total Surface Area of Square Pyramid given Lateral Edge Length and Height?

Total Surface Area of Square Pyramid given Lateral Edge Length and Height 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 Total Surface Area of Square Pyramid given Lateral Edge Length and Height can be measured.

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Total Surface Area of Square Pyramid given Lateral Edge Length and Height Formula

​GoTotal Surface Area of Square Pyramid given Slant Height Formula

​GoTotal Surface Area of Square Pyramid Formula

Total Surface Area of Square Pyramid given Lateral Edge Length and Height Example

Total Surface Area of Square Pyramid given Lateral Edge Length and Height Solution

Total Surface Area of Square Pyramid given Lateral Edge Length and Height Formula Elements

Other Formulas to find Total Surface Area of Square Pyramid

Other formulas in Surface Area of Square Pyramid category

How to Evaluate Total Surface Area of Square Pyramid given Lateral Edge Length and Height?

FAQs on Total Surface Area of Square Pyramid given Lateral Edge Length and Height

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GoTotal Surface Area of Square Pyramid given Slant Height Formula

GoTotal Surface Area of Square Pyramid Formula