Question 10 of 16beginner💡 UnderstandShort Answer2 marks

Do all the faces look the same? (Icosahedron and Dodecahedron)

Correct Answer

Yes, all faces look the same in both an icosahedron and a dodecahedron.

Icosahedron: All 20 faces are identical equilateral triangles.

Dodecahedron: All 12 faces are identical regular pentagons.

Exercise: Icosahedron and Dodecahedron | Q: 40 | (Page Page 12)
For More Understanding

Explanation

The chapter explains that these are regular polyhedra where all faces are identical regular polygons. This uniformity is what makes them 'regular' solids.

Solution Steps

  1. Identify that both icosahedron and dodecahedron are regular polyhedra.

  2. In an icosahedron, all 20 faces are identical equilateral triangles.

  3. In a dodecahedron, all 12 faces are identical regular pentagons.

  4. Conclude that all faces look the same in both solids.