b) If we add a triangular pyramid on top of a triangular prism and a rectangular pyramid on top of a cuboid, which shape will have more edges, faces, and vertices? (Consider the edge lengths of all 3D shapes to be the same.)
Answers
Answer:
A pyramid is a 3-D shape with 1 flat base. The other faces are triangles that meet at a vertex.
Given:
If we add a triangular pyramid on top of a triangular prism and a rectangular pyramid on top of a cuboid
To Find:
which shape will have more edges, faces, and vertices? (Consider the edge lengths of all 3D shapes to be the same)
Solution:
A triangular pyramid is a 3d pyramid with a base in the shape of a triangle, a triangular prism is a prism with both bases in the shape of a triangle, a rectangular pyramid is a 3d pyramid with a base in the shape of a rectangle and a rectangular prism is a prism with both bases in the shape of a rectangle
Now when we put both pyramid and prism on top of each other with the same bases as told in the question we would get a 3d figure as shown in the picture attached
In figure (A) is a triangular pyramid on top of a triangular prism the no of vertices we have is 7, edges are 12 and faces are 7
In figure (B) is a rectangular pyramid on top of a rectangular prism, the no of vertices we have is 8, edges are 12 and faces are 9
Hence, the no of faces, edges and vertices is more on the rectangular 3D figure.
