Question

Find the number of sides of a regular prism which has 10 faces and 12 vertices

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Answer 1

A regular prism with 10 faces and 12 vertices has 6 sides. This is because the number of faces and vertices are related by the equation F+2 = E+2V, where F is the number of faces, E is the number of edges, and V is the number of vertices. In this case, 10+2 = 12+2V, so V = 6 and the number of sides of the prism is also 6

Explanation:

1. A regular prism has 10 faces and 12 vertices.

2. The number of faces and vertices is related by the equation F+2 = E+2V.

3. Where F is the number of faces, E is the number of edges, and V is the number of vertices.

4. In this case, 10+2 = 12+2V, so V = 6.

5. Therefore, the number of sides of the prism is also 6.