What is this figure? Describe its attributes.

A. It is a triangular pyramid. Its attributes include 4 faces: 3 lateral faces that are triangles and a 4th that is a triangular base.
B. It is a square pyramid. Its attributes include 4 faces: 3 lateral faces that are triangles and a 4th that is a square base.
C. It is a pentagonal pyramid. Its attributes include 6 faces: 5 lateral faces that are triangles and a 6th that is a pentagonal base.
D. It is a square pyramid. Its attributes include 5 faces: 4 lateral faces that are triangles and a 5th face that is a square base.

1 answer

To identify the figure and describe its attributes correctly, let's analyze the options:

A. Triangular Pyramid: This figure has 4 faces in total: 3 lateral triangular faces and 1 triangular base.

B. Square Pyramid: This figure has 5 faces in total: 4 lateral triangular faces and 1 square base.

C. Pentagonal Pyramid: This figure has 6 faces in total: 5 lateral triangular faces and 1 pentagonal base.

D. Square Pyramid: This option mistakenly states that it has 5 faces when it correctly describes a square pyramid, which indeed has 5 faces (4 triangular lateral faces and 1 square base).

Among these descriptions, options A, B, C, and D are accurately outlining the attributes of their respective pyramids except for the redundancy in option B and D regarding the square pyramid's description.

Based on these characteristics, if you have a figure with 5 faces and a square base, it would be described by option B or D (both refer to a square pyramid but D incorrectly states the number of faces should only be counted once).

Therefore, the figure must either be a Triangular Pyramid (Option A), Square Pyramid (Option B), or a Pentagonal Pyramid (Option C), with B being correctly characterized but stating it has 5 faces ultimately, making Option B the right choice if focusing only on the "square pyramid" choice.

To conclude:

  • If the figure has a triangular base: A is correct.
  • If it has a square base and 5 faces: B and D fits unless it holistically wrong on counting faces.
  • If it has a pentagonal base: choose C.

The final answer will depend on confirming the actual shape visible, but we can classify according to correct descriptions logically.