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Total Surface Area of Pentagonal Pyramid Formula

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

TSA Pentagon = (\frac{5}{2} \cdot l e(Base)Pentagon \cdot h slant(Pentagon)) + (\frac{5}{4} \cdot \tan (54 \cdot \frac{π}{180}) \cdot {l e(Base)Pentagon}^{2})

TSA_Pentagon - Total Surface Area of Pentagonal Pyramid?l_{e(Base)Pentagon} - Edge Length of Base of Pentagonal Pyramid?h_{slant(Pentagon)} - Slant Height of Pentagonal Pyramid?π - Archimedes' constant?

Total Surface Area of Pentagonal Pyramid Example

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

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

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

597.0477 = (\frac{5}{2} \cdot 10 \cdot 17) + (\frac{5}{4} \cdot \tan (54 \cdot \frac{3.1416}{180}) \cdot 10^{2})

597.0477m² = (\frac{5}{2} \cdot 10m \cdot 17m) + (\frac{5}{4} \cdot \tan (54 \cdot \frac{3.1416}{180}) \cdot {10m}^{2})

597.0477 = (\frac{5}{2} \cdot 10 \cdot 17) + (\frac{5}{4} \cdot \tan (54 \cdot \frac{3.1416}{180}) \cdot 10^{2})

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Total Surface Area of Pentagonal Pyramid Solution

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

FIRST Step Consider the formula

TSA Pentagon = (\frac{5}{2} \cdot l e(Base)Pentagon \cdot h slant(Pentagon)) + (\frac{5}{4} \cdot \tan (54 \cdot \frac{π}{180}) \cdot {l e(Base)Pentagon}^{2})

Next Step Substitute values of Variables

∴

TSA Pentagon = (\frac{5}{2} \cdot 10m \cdot 17m) + (\frac{5}{4} \cdot \tan (54 \cdot \frac{π}{180}) \cdot {10m}^{2})

Next Step Substitute values of Constants

∴

TSA Pentagon = (\frac{5}{2} \cdot 10m \cdot 17m) + (\frac{5}{4} \cdot \tan (54 \cdot \frac{3.1416}{180}) \cdot {10m}^{2})

Next Step Prepare to Evaluate

∴

TSA Pentagon = (\frac{5}{2} \cdot 10 \cdot 17) + (\frac{5}{4} \cdot \tan (54 \cdot \frac{3.1416}{180}) \cdot 10^{2})

Next Step Evaluate

∴

TSA Pentagon = 597.047740058897m²

LAST Step Rounding Answer

∴

TSA Pentagon = 597.0477m²

Total Surface Area of Pentagonal Pyramid Formula Elements

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Constants

Functions

Total Surface Area of Pentagonal Pyramid

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

Symbol: TSA_Pentagon

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Pentagonal Pyramid

Edge Length of Base of Pentagonal Pyramid

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

Symbol: l_{e(Base)Pentagon}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Base of Pentagonal Pyramid

Slant Height of Pentagonal Pyramid

Slant Height of Pentagonal Pyramid is the length measured along the lateral face from the base to the apex of the Pentagonal Pyramid along the center of the face.

Symbol: h_{slant(Pentagon)}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Slant Height of Pentagonal Pyramid

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

Other formulas in Pentagonal Pyramid category

Go Volume of Pentagonal Pyramid

V Pentagon = \frac{5}{12} \cdot \tan (54 \cdot \frac{π}{180}) \cdot h Pentagon \cdot {l e(Base)Pentagon}^{2}

Go Lateral Surface Area of Pentagonal Pyramid

LSA Pentagon = \frac{5}{2} \cdot l e(Base)Pentagon \cdot h slant(Pentagon)

Go Base Area of Pentagonal Pyramid

A Base(Pentagon) = \frac{1}{4} \cdot \sqrt{5 \cdot (5 + (2 \cdot \sqrt{5}))} \cdot {l e(Base)Pentagon}^{2}

How to Evaluate Total Surface Area of Pentagonal Pyramid?

Total Surface Area of Pentagonal Pyramid evaluator uses Total Surface Area of Pentagonal Pyramid = (5/2*Edge Length of Base of Pentagonal Pyramid*Slant Height of Pentagonal Pyramid)+(5/4*tan(54*pi/180)*Edge Length of Base of Pentagonal Pyramid^2) to evaluate the Total Surface Area of Pentagonal Pyramid, Total Surface Area of Pentagonal Pyramid formula is defined as the total amount of two-dimensional space occupied by all the faces of the Pentagonal Pyramid. Total Surface Area of Pentagonal Pyramid is denoted by TSA_Pentagon symbol.

How to evaluate Total Surface Area of Pentagonal Pyramid using this online evaluator? To use this online evaluator for Total Surface Area of Pentagonal Pyramid, enter Edge Length of Base of Pentagonal Pyramid (l_{e(Base)Pentagon}) & Slant Height of Pentagonal Pyramid (h_{slant(Pentagon)}) and hit the calculate button.

FAQs on Total Surface Area of Pentagonal Pyramid

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

The formula of Total Surface Area of Pentagonal Pyramid is expressed as Total Surface Area of Pentagonal Pyramid = (5/2*Edge Length of Base of Pentagonal Pyramid*Slant Height of Pentagonal Pyramid)+(5/4*tan(54*pi/180)*Edge Length of Base of Pentagonal Pyramid^2). Here is an example- 597.0477 = (5/2*10*17)+(5/4*tan(54*pi/180)*10^2).

How to calculate Total Surface Area of Pentagonal Pyramid?

With Edge Length of Base of Pentagonal Pyramid (l_{e(Base)Pentagon}) & Slant Height of Pentagonal Pyramid (h_{slant(Pentagon)}) we can find Total Surface Area of Pentagonal Pyramid using the formula - Total Surface Area of Pentagonal Pyramid = (5/2*Edge Length of Base of Pentagonal Pyramid*Slant Height of Pentagonal Pyramid)+(5/4*tan(54*pi/180)*Edge Length of Base of Pentagonal Pyramid^2). This formula also uses Archimedes' constant and Tangent (tan) function(s).

Can the Total Surface Area of Pentagonal Pyramid be negative?

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

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

Total Surface Area of Pentagonal 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 Pentagonal Pyramid can be measured.

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Total Surface Area of Pentagonal Pyramid Formula

Total Surface Area of Pentagonal Pyramid Example

Total Surface Area of Pentagonal Pyramid Solution

Total Surface Area of Pentagonal Pyramid Formula Elements

Other formulas in Pentagonal Pyramid category

How to Evaluate Total Surface Area of Pentagonal Pyramid?

FAQs on Total Surface Area of Pentagonal Pyramid

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