Volume of Regular Icosahedron Calculator

Category	Math ↺
Math	Geometry ↺
Geometry	Volume ↺

✖The side is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back.ⓘ Side [s]

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✖Volume is the amount of space that a substance or object occupies or that is enclosed within a container.ⓘ Volume of Regular Icosahedron [V]

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Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 1000+ more calculators!

Saiju Shah

Jayawant Shikshan Prasarak Mandal (JSPM), Pune

Saiju Shah has verified this Calculator and 1000+ more calculators!

< 11 Other formulas that you can solve using the same Inputs

Total Surface Area of a Pyramid

Total Surface Area=Side*(Side+sqrt(Side^2+4*(Height)^2)) Go

Area of a Rhombus when side and diagonals are given

Area=(1/2)*(Diagonal A)*(sqrt(4*Side^2-(Diagonal A)^2)) Go

Lateral Surface Area of a Pyramid

Lateral Surface Area=Side*sqrt(Side^2+4*(Height)^2) Go

Surface Area of a Capsule

Surface Area=2*pi*Radius*(2*Radius+Side) Go

Volume of a Capsule

Volume=pi*(Radius)^2*((4/3)*Radius+Side) Go

Area of a Octagon

Area=2*(1+sqrt(2))*(Side)^2 Go

Volume of a Pyramid

Volume=(1/3)*Side^2*Height Go

Area of a Hexagon

Area=(3/2)*sqrt(3)*Side^2 Go

Base Surface Area of a Pyramid

Base Surface Area=Side^2 Go

Surface Area of a Cube

Surface Area=6*Side^2 Go

Volume of a Cube

Volume=Side^3 Go

< 11 Other formulas that calculate the same Output

Volume of a Conical Frustum

Volume=(1/3)*pi*Height*(Radius 1^2+Radius 2^2+(Radius 1*Radius 2)) Go

Volume of a Capsule

Volume=pi*(Radius)^2*((4/3)*Radius+Side) Go

Volume of Regular Dodecahedron

Volume=((15+(7*sqrt(5)))*Side^3)/4 Go

Volume of a Circular Cone

Volume=(1/3)*pi*(Radius)^2*Height Go

Volume of a Circular Cylinder

Volume=pi*(Radius)^2*Height Go

Volume of Regular Octahedron

Volume=(sqrt(2))*(Side^3)/3 Go

Volume of a Rectangular Prism

Volume=Width*Height*Length Go

Volume of a Hemisphere

Volume=(2/3)*pi*(Radius)^3 Go

Volume of a Pyramid

Volume=(1/3)*Side^2*Height Go

Volume of a Sphere

Volume=(4/3)*pi*(Radius)^3 Go

Volume of a Cube

Volume=Side^3 Go

Volume of Regular Icosahedron Formula

Volume=(5*(3+sqrt(5))*Side^3)/12
V=(5*(3+sqrt(5))*s^3)/12

More formulas

Volume of a Capsule Go

Volume of a Circular Cone Go

Volume of a Circular Cylinder Go

Volume of a Cube Go

Volume of a Hemisphere Go

Volume of a Sphere Go

Volume of a Pyramid Go

Volume of a Conical Frustum Go

Volume of a Rectangular Prism Go

Volume of Regular Dodecahedron Go

Volume of Regular Octahedron Go

Volume of Regular Tetrahedron Go

Volume of Cuboid Go

Volume of a general pyramid Go

Volume of a general prism Go

Volume of a triangular prism Go

Volume of hollow cylinder Go

Volume of Cone Go

Volume of the hollow sphere Go

Volume of spherical segment Go

Volume of spherical zone Go

Volume of spherical sector Go

Volume of truncated pyramid Go

Volume of truncated cone Go

Volume of cube given LSA Go

How many edges does a icosahedron have?

There are two objects, one convex and one nonconvex, that can both be called regular icosahedra. Each has 30 edges and 20 equilateral triangle faces with five meeting at each of its twelve vertices. The icosahedron is the dual of the dodecahedron having three regular pentagonal faces around each vertex. The icosahedron represents the WATER element, symbolizing dreams, intuition, and emotions.

How to Calculate Volume of Regular Icosahedron?

Volume of Regular Icosahedron calculator uses Volume=(5*(3+sqrt(5))*Side^3)/12 to calculate the Volume, Volume of Regular Icosahedron, is the amount of the space which the shapes takes up. Volume and is denoted by V symbol.

How to calculate Volume of Regular Icosahedron using this online calculator? To use this online calculator for Volume of Regular Icosahedron, enter Side (s) and hit the calculate button. Here is how the Volume of Regular Icosahedron calculation can be explained with given input values -> 1590.456 = (5*(3+sqrt(5))*9^3)/12.

FAQ

What is Volume of Regular Icosahedron?

Volume of Regular Icosahedron, is the amount of the space which the shapes takes up and is represented as V=(5*(3+sqrt(5))*s^3)/12 or Volume=(5*(3+sqrt(5))*Side^3)/12. The side is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back.

How to calculate Volume of Regular Icosahedron?

Volume of Regular Icosahedron, is the amount of the space which the shapes takes up is calculated using Volume=(5*(3+sqrt(5))*Side^3)/12. To calculate Volume of Regular Icosahedron, you need Side (s). With our tool, you need to enter the respective value for Side and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Volume?

In this formula, Volume uses Side. We can use 11 other way(s) to calculate the same, which is/are as follows -

Volume=pi*(Radius)^2*((4/3)*Radius+Side)
Volume=(1/3)*pi*(Radius)^2*Height
Volume=pi*(Radius)^2*Height
Volume=Side^3
Volume=(2/3)*pi*(Radius)^3
Volume=(4/3)*pi*(Radius)^3
Volume=(1/3)*Side^2*Height
Volume=(1/3)*pi*Height*(Radius 1^2+Radius 2^2+(Radius 1*Radius 2))
Volume=Width*Height*Length
Volume=((15+(7*sqrt(5)))*Side^3)/4
Volume=(sqrt(2))*(Side^3)/3

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