Total Surface Area of Pentagonal Pyramid Calculator

✖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.ⓘ Edge Length of Base of Pentagonal Pyramid [l_{e(Base)Pentagon}]			+10% -10%
✖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.ⓘ Slant Height of Pentagonal Pyramid [h_{slant(Pentagon)}]			+10% -10%

✖Total Surface Area of Pentagonal Pyramid is the total amount of two-dimensional space occupied by all the faces of the Pentagonal Pyramid.ⓘ Total Surface Area of Pentagonal Pyramid [TSA_Pentagon]

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Total Surface Area of Pentagonal Pyramid Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
TSA_Pentagon = (5/2*l_{e(Base)Pentagon}*h_{slant(Pentagon)})+(5/4*tan(54*pi/180)*l_{e(Base)Pentagon}^2)
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., tan(Angle)

Variables Used

Total Surface Area of Pentagonal Pyramid - (Measured in Square Meter) - Total Surface Area of Pentagonal Pyramid is the total amount of two-dimensional space occupied by all the faces of the Pentagonal Pyramid.
Edge Length of Base of Pentagonal Pyramid - (Measured in Meter) - 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.
Slant Height of Pentagonal Pyramid - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Base of Pentagonal Pyramid: 10 Meter --> 10 Meter No Conversion Required
Slant Height of Pentagonal Pyramid: 17 Meter --> 17 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA_Pentagon = (5/2*l_{e(Base)Pentagon}*h_{slant(Pentagon)})+(5/4*tan(54*pi/180)*l_{e(Base)Pentagon}^2) --> (5/2*10*17)+(5/4*tan(54*pi/180)*10^2)

Evaluating ... ...

TSA_Pentagon = 597.047740058897

STEP 3: Convert Result to Output's Unit

597.047740058897 Square Meter --> No Conversion Required

FINAL ANSWER

597.047740058897 ≈ 597.0477 Square Meter <-- Total Surface Area of Pentagonal Pyramid

(Calculation completed in 00.004 seconds)

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St Joseph's College (SJC), Bengaluru

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< Pentagonal Pyramid Calculators

Total Surface Area of Pentagonal Pyramid

LaTeX Go 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)

Volume of Pentagonal Pyramid

LaTeX Go Volume of Pentagonal Pyramid = 5/12*tan(54*pi/180)*Height of Pentagonal Pyramid*Edge Length of Base of Pentagonal Pyramid^2

Base Area of Pentagonal Pyramid

LaTeX Go Base Area of Pentagonal Pyramid = 1/4*sqrt(5*(5+(2*sqrt(5))))*Edge Length of Base of Pentagonal Pyramid^2

Lateral Surface Area of Pentagonal Pyramid

LaTeX Go Lateral Surface Area of Pentagonal Pyramid = 5/2*Edge Length of Base of Pentagonal Pyramid*Slant Height of Pentagonal Pyramid

Total Surface Area of Pentagonal Pyramid Formula

LaTeX Go

What is a Pentagonal Pyramid?

A Pentagonal Pyramid is a pyramid with a pentagonal base and five isosceles triangular faces that intersect at a point in geometry (the apex). It has 6 faces, which include 5 isosceles triangular faces and a pentagonal base. Also, It has 6 vertices and 10 edges.

How to Calculate Total Surface Area of Pentagonal Pyramid?

Total Surface Area of Pentagonal Pyramid calculator 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 calculate 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 calculate Total Surface Area of Pentagonal Pyramid using this online calculator? To use this online calculator 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. Here is how the Total Surface Area of Pentagonal Pyramid calculation can be explained with given input values -> 597.0477 = (5/2*10*17)+(5/4*tan(54*pi/180)*10^2).

FAQ

What is 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 and is represented as TSA_Pentagon = (5/2*l_{e(Base)Pentagon}*h_{slant(Pentagon)})+(5/4*tan(54*pi/180)*l_{e(Base)Pentagon}^2) or 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). 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 & 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.

How to calculate 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 is calculated using 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 calculate Total Surface Area of Pentagonal Pyramid, you need Edge Length of Base of Pentagonal Pyramid (l_{e(Base)Pentagon}) & Slant Height of Pentagonal Pyramid (h_{slant(Pentagon)}). With our tool, you need to enter the respective value for Edge Length of Base of Pentagonal Pyramid & Slant Height of Pentagonal Pyramid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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