Volume of Pentagonal Pyramid Calculator

✖Height of Pentagonal Pyramid is the length of the perpendicular from the apex to the base of the Pentagonal Pyramid.ⓘ Height of Pentagonal Pyramid [h]			+10% -10%
✖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%

✖Volume of Pentagonal Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Pentagonal Pyramid.ⓘ Volume of Pentagonal Pyramid [V]

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Formula

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Volume of Pentagonal Pyramid

Formula

`"V" = 5/12*tan(54*pi/180)*"h"*"l"_{"e(Base)"}^2`

Example

`"860.2387m³"=5/12*tan(54*pi/180)*"15m"*("10m")^2`

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Volume of Pentagonal Pyramid Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Volume of Pentagonal Pyramid - (Measured in Cubic Meter) - Volume of Pentagonal Pyramid is the total quantity of three-dimensional space enclosed by the surface of the Pentagonal Pyramid.
Height of Pentagonal Pyramid - (Measured in Meter) - Height of Pentagonal Pyramid is the length of the perpendicular from the apex to 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.

STEP 1: Convert Input(s) to Base Unit

Height of Pentagonal Pyramid: 15 Meter --> 15 Meter No Conversion Required
Edge Length of Base of Pentagonal Pyramid: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 5/12*tan(54*pi/180)*h*l_e(Base)^2 --> 5/12*tan(54*pi/180)*15*10^2

Evaluating ... ...

V = 860.238700294483

STEP 3: Convert Result to Output's Unit

860.238700294483 Cubic Meter --> No Conversion Required

FINAL ANSWER

860.238700294483 ≈ 860.2387 Cubic Meter <-- Volume of Pentagonal Pyramid

(Calculation completed in 00.004 seconds)

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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

Volume of Pentagonal Pyramid Formula

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

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 Volume of Pentagonal Pyramid?

Volume of Pentagonal Pyramid calculator uses Volume of Pentagonal Pyramid = 5/12*tan(54*pi/180)*Height of Pentagonal Pyramid*Edge Length of Base of Pentagonal Pyramid^2 to calculate the Volume of Pentagonal Pyramid, Volume of Pentagonal Pyramid formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Pentagonal Pyramid. Volume of Pentagonal Pyramid is denoted by V symbol.

How to calculate Volume of Pentagonal Pyramid using this online calculator? To use this online calculator for Volume of Pentagonal Pyramid, enter Height of Pentagonal Pyramid (h) & Edge Length of Base of Pentagonal Pyramid (l_e(Base)) and hit the calculate button. Here is how the Volume of Pentagonal Pyramid calculation can be explained with given input values -> 860.2387 = 5/12*tan(54*pi/180)*15*10^2.

FAQ

What is Volume of Pentagonal Pyramid?

Volume of Pentagonal Pyramid formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Pentagonal Pyramid and is represented as V = 5/12*tan(54*pi/180)*h*l_e(Base)^2 or Volume of Pentagonal Pyramid = 5/12*tan(54*pi/180)*Height of Pentagonal Pyramid*Edge Length of Base of Pentagonal Pyramid^2. Height of Pentagonal Pyramid is the length of the perpendicular from the apex to the base of the 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.

How to calculate Volume of Pentagonal Pyramid?

Volume of Pentagonal Pyramid formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Pentagonal Pyramid is calculated using Volume of Pentagonal Pyramid = 5/12*tan(54*pi/180)*Height of Pentagonal Pyramid*Edge Length of Base of Pentagonal Pyramid^2. To calculate Volume of Pentagonal Pyramid, you need Height of Pentagonal Pyramid (h) & Edge Length of Base of Pentagonal Pyramid (l_e(Base)). With our tool, you need to enter the respective value for Height of Pentagonal Pyramid & Edge Length of Base 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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