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Total Surface Area of Pyramid Formula

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Total Surface Area of Pyramid is the total amount of two-dimensional space occupied by all the faces of the 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 Pyramid?l_e(Base) - Edge Length of Base of Pyramid?h - Height of Pyramid?

Total Surface Area of Pyramid Example

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

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

Here is how the Total Surface Area of 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 Pyramid Solution

Follow our step by step solution on how to calculate Total Surface Area of 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 Pyramid Formula Elements

Variables

Functions

Total Surface Area of Pyramid

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

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Pyramid

Edge Length of Base of Pyramid

Edge Length of Base of Pyramid is the length of the straight line connecting any two adjacent vertices of the base of the Pyramid.

Symbol: l_e(Base)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Base of Pyramid

Height of Pyramid

Height of Pyramid is the length of the perpendicular from the apex to the base of the Pyramid.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of 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 in Regular Pyramid category

Go Lateral Surface Area of Pyramid

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

Go Base Area of Pyramid

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

Go Volume of Pyramid

V = \frac{{l e(Base)}^{2} \cdot h}{3}

How to Evaluate Total Surface Area of Pyramid?

Total Surface Area of Pyramid evaluator uses Total Surface Area of Pyramid = Edge Length of Base of Pyramid^2+(Edge Length of Base of Pyramid*sqrt((4*Height of Pyramid^2)+Edge Length of Base of Pyramid^2)) to evaluate the Total Surface Area of Pyramid, The Total Surface Area of Pyramid can be defined as the total amount of two-dimensional space occupied by all the faces of the Pyramid. Total Surface Area of Pyramid is denoted by TSA symbol.

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

FAQs on Total Surface Area of Pyramid

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

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

How to calculate Total Surface Area of Pyramid?

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

Can the Total Surface Area of Pyramid be negative?

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

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

Total Surface Area of 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 Pyramid can be measured.

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Total Surface Area of Pyramid Formula

Total Surface Area of Pyramid Example

Total Surface Area of Pyramid Solution

Total Surface Area of Pyramid Formula Elements

Other formulas in Regular Pyramid category

How to Evaluate Total Surface Area of Pyramid?

FAQs on Total Surface Area of Pyramid

Variable Name