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A triangular pyramid has :

  • A.4 faces and 6 edges.
  • B.3 faces and 6 edges.
  • C.3 faces and 4 edges.
  • D.4 faces and 4 edges.

Answer: A

A triangular pyramid has 4 faces and 6 edges.

A triangular pyramid (tetrahedron) has a triangular base and three triangular side faces, so 4 faces. The base has 3 edges and three more run from the base corners to the apex, so 6 edges. It has 4 vertices.

Euler's formula checks it: \(F + V - E = 4 + 4 - 6 = 2\). '3 faces' leaves out the base, and '4 edges' counts too few, so the other options are wrong.

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