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Total Surface Area of Square Pyramid Formula

GoTotal Surface Area of Square Pyramid given Slant Height 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 = {l e(Base)}^{2} + (l e(Base) \cdot \sqrt{(4 \cdot h^{2}) + {l e(Base)}^{2}})

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

Total Surface Area of Square Pyramid Example

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

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

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

416.2278 = 10^{2} + (10 \cdot \sqrt{(4 \cdot 15^{2}) + 10^{2}})

416.2278m² = {10m}^{2} + (10m \cdot \sqrt{(4 \cdot {15m}^{2}) + {10m}^{2}})

416.2278 = 10^{2} + (10 \cdot \sqrt{(4 \cdot 15^{2}) + 10^{2}})

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Total Surface Area of Square Pyramid Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = {10m}^{2} + (10m \cdot \sqrt{(4 \cdot {15m}^{2}) + {10m}^{2}})

Next Step Prepare to Evaluate

∴

TSA = 10^{2} + (10 \cdot \sqrt{(4 \cdot 15^{2}) + 10^{2}})

Next Step Evaluate

∴

TSA = 416.227766016838m²

LAST Step Rounding Answer

∴

TSA = 416.2278m²

Total Surface Area of Square Pyramid Formula Elements

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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

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 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}

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 Total Surface Area of Square Pyramid?

Total Surface Area of Square Pyramid evaluator uses 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)) to evaluate the Total Surface Area of Square Pyramid, Total 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. Total Surface Area of Square Pyramid is denoted by TSA symbol.

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

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

The formula of Total Surface Area of Square Pyramid is expressed as 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)). Here is an example- 416.2278 = 10^2+(10*sqrt((4*15^2)+10^2)).

How to calculate Total Surface Area of Square Pyramid?

With Edge Length of Base of Square Pyramid (l_e(Base)) & Height of Square Pyramid (h) we can find Total Surface Area of Square Pyramid using the formula - 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)). 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

Can the Total Surface Area of Square Pyramid be negative?

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

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

Total 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 Total Surface Area of Square Pyramid can be measured.

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Total Surface Area of Square Pyramid Formula

​GoTotal Surface Area of Square Pyramid given Slant Height Formula

Total Surface Area of Square Pyramid Example

Total Surface Area of Square Pyramid Solution

Total Surface Area of Square Pyramid 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?

FAQs on Total Surface Area of Square Pyramid

Variable Name

GoTotal Surface Area of Square Pyramid given Slant Height Formula