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What object would you create if you did a parallel cross-section of a square pyramid?Question 12Select one:a.Cubeb.Trianglec.Rectangled.Square

Question

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Solution

To determine the shape created by a parallel cross-section of a square pyramid, we should consider the nature of such cross-sections.

  1. Break Down the Problem

    • Understand what a parallel cross-section of a square pyramid entails.
    • Identify how the shape of the cross-section changes at different heights.
  2. Relevant Concepts

    • A square pyramid has a square base and triangular faces that converge at a single apex.
    • When a parallel cross-section is taken (parallel to the base), the shape formed is similar to the base shape.
  3. Analysis and Detail

    • As you move upwards through the pyramid with a cross-section parallel to the base, the cross-section remains a square.
    • The size of the square diminishes as it approaches the apex, but its shape will consistently be a square.
  4. Verify and Summarize

    • Since the base of the pyramid is square and the cross-section is parallel to this base, the resulting shape is square, regardless of height.

Final Answer

d. Square

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