How many faces, edges and vertices of a triangular prism. YOU MUST SHOW YOUR WORK
A triangular prism has 5 faces, 9 edges, and 6 vertices.
To find the number of faces, we know that a triangular prism has 2 triangular faces and 3 rectangular faces, so the total number of faces is 2 + 3 = 5.
To find the number of edges, we know that each triangular face has 3 edges and each rectangular face has 4 edges. So, the total number of edges is 2(3) + 3(4) = 6 + 12 = 18. However, each edge is shared by 2 faces, so we need to divide by 2 to get the total number of unique edges: 18 / 2 = 9.
To find the number of vertices, we know that each triangular face has 3 vertices and each rectangular face has 4 vertices. The 3 vertices of the top triangular face are shared with the bottom triangular face, so we only count them once. So the total number of vertices is 3 + 3 = 6.