Given the edge of the dodecahedron calculate its surface area. Surface area is the amount of space that all the faces of the shape takes up.
Input : 3 Output : 185.812 Input : 7 Output : 1011.64
A dodecahedron is a 3-dimensional figure made up of 12 faces, or flat sides. All of the faces are pentagons of the same size.The word ‘dodecahedron’ comes from the Greek words dodeca (‘twelve’) and hedron (‘faces’). Every shape has properties and characteristics.So has dodecahedron
- 12 equal pentagonal faces
- 20 vertices
- 30 edges
where pentagon is a 2-dimensional shape with 5 straight sides and 5 vertices. So, a dodecahedron has 12 of these flat, equal pentagonal faces.So one can think dodecahedron as a 12 faced dice(Usually not seen) but can be in a Battleball board game.
Surface area of dodecahedron = 185.812
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