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

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