Lateral 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)]			+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]			+10% -10%

✖Lateral Surface Area of Pentagonal Pyramid is the total amount of two-dimensional space occupied by all the faces of the Pentagonal Pyramid, excluding the area of the base of the Pentagonal Pyramid.ⓘ Lateral Surface Area of Pentagonal Pyramid [LSA]

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Formula

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Lateral Surface Area of Pentagonal Pyramid

Formula

`"LSA" = 5/2*"l"_{"e(Base)"}*"h"_{"slant"}`

Example

`"425m²"=5/2*"10m"*"17m"`

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Lateral Surface Area of Pentagonal Pyramid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Lateral Surface Area of Pentagonal Pyramid = 5/2*Edge Length of Base of Pentagonal Pyramid*Slant Height of Pentagonal Pyramid
LSA = 5/2*l_e(Base)*h_slant
This formula uses 3 Variables

Variables Used

Lateral Surface Area of Pentagonal Pyramid - (Measured in Square Meter) - Lateral Surface Area of Pentagonal Pyramid is the total amount of two-dimensional space occupied by all the faces of the Pentagonal Pyramid, excluding the area of the base 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

LSA = 5/2*l_e(Base)*h_slant --> 5/2*10*17

Evaluating ... ...

LSA = 425

STEP 3: Convert Result to Output's Unit

425 Square Meter --> No Conversion Required

FINAL ANSWER

425 Square Meter <-- Lateral Surface Area of Pentagonal Pyramid

(Calculation completed in 00.020 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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< 4 Pentagonal Pyramid Calculators

Total Surface Area of Pentagonal Pyramid

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

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

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

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

Lateral Surface Area of Pentagonal Pyramid Formula

Lateral Surface Area of Pentagonal Pyramid = 5/2*Edge Length of Base of Pentagonal Pyramid*Slant Height of Pentagonal Pyramid
LSA = 5/2*l_e(Base)*h_slant

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 Lateral Surface Area of Pentagonal Pyramid?

Lateral Surface Area of Pentagonal Pyramid calculator uses Lateral Surface Area of Pentagonal Pyramid = 5/2*Edge Length of Base of Pentagonal Pyramid*Slant Height of Pentagonal Pyramid to calculate the Lateral Surface Area of Pentagonal Pyramid, Lateral 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, excluding the area of the base of the Pentagonal Pyramid. Lateral Surface Area of Pentagonal Pyramid is denoted by LSA symbol.

How to calculate Lateral Surface Area of Pentagonal Pyramid using this online calculator? To use this online calculator for Lateral Surface Area of Pentagonal Pyramid, enter Edge Length of Base of Pentagonal Pyramid (l_e(Base)) & Slant Height of Pentagonal Pyramid (h_slant) and hit the calculate button. Here is how the Lateral Surface Area of Pentagonal Pyramid calculation can be explained with given input values -> 425 = 5/2*10*17.

FAQ

What is Lateral Surface Area of Pentagonal Pyramid?

Lateral 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, excluding the area of the base of the Pentagonal Pyramid and is represented as LSA = 5/2*l_e(Base)*h_slant or Lateral Surface Area of Pentagonal Pyramid = 5/2*Edge Length of Base of Pentagonal Pyramid*Slant Height 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 & 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 Lateral Surface Area of Pentagonal Pyramid?

Lateral 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, excluding the area of the base of the Pentagonal Pyramid is calculated using Lateral Surface Area of Pentagonal Pyramid = 5/2*Edge Length of Base of Pentagonal Pyramid*Slant Height of Pentagonal Pyramid. To calculate Lateral Surface Area of Pentagonal Pyramid, you need Edge Length of Base of Pentagonal Pyramid (l_e(Base)) & Slant Height of Pentagonal Pyramid (h_slant). 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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