Machine-translated by Google. Questions are authored in English.
Top

Discussion

A pentagonal pyramid has

  • A.five faces and five vertices
  • B.six faces and six edges
  • C.six vertices and five faces
  • D.six vertices and six faces

Answer: D

A pentagonal pyramid has six vertices and six faces.

Its faces are the pentagonal base plus five triangular side faces, 6 in all. Its vertices are the 5 corners of the base plus the apex, 6 in all. It has 10 edges: 5 round the base and 5 rising to the apex. Euler's formula checks this: \(V - E + F = 6 - 10 + 6 = 2\).

'Five faces' misses the base, 'five vertices' misses the apex, and 'six edges' is far short of the true 10, so the other options are wrong.

No comment is present. Be the first to comment.
Loading…

Post your comment

Please log in or register to post a comment.