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Question 91

A square-based pyramid has a square base and four triangular faces that meet at a single point above it. Select all the statements that are true about this solid.

  1. It has 5 vertices: the four corners of the base together with the point where the triangles meet.Correct answer
  2. It has only 4 vertices, one for each corner of its square base.
  3. It has 5 faces in total, one square and four triangles.Correct answer
  4. It has 8 vertices, one for each of its edges.

Explanation

Counting corner points means counting every place where edges meet, and the point above the base is such a place just as the four base corners are. Stopping at 4 counts only the corners resting on the ground and leaves out the very point that makes the solid a pyramid.

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Question 91: A square-based pyramid has a square base and four… · Geometry Basics · Questena