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Question about Prisms and Pyramids: Layouts and Characteristics

Mathematics

Originais Teachy

Prisms and Pyramids: Layouts and Characteristics

Medium

(Originais Teachy 2023) - Question Medium of Mathematics

In math class, teacher Ana decided to create an activity for her students involving the recognition and counting of elements in three-dimensional geometric figures. She showed the students a pyramid with a triangular base. The pyramid was disassembled so that its faces were 'glued' onto a transparent paper, forming a flat drawing or plan. Considering that the original pyramid had 4 triangular faces and 1 quadrangular face (the base), the teacher asked the students to identify how many faces, edges, and vertices the flat drawing of the pyramid would have. How can you, as a student, determine the number of faces, edges, and vertices in the plan of the pyramid based on the information provided by teacher Ana?
a.
The plan of the pyramid will have 4 faces, 8 edges, and 5 vertices.
b.
The plan of the pyramid will have 5 faces, 10 edges, and 5 vertices.
c.
The plan of the pyramid will have 4 faces, 6 edges, and 5 vertices.
d.
The plan of the pyramid will have 4 faces, 10 edges, and 6 vertices.
e.
The plan of the pyramid will have 5 faces, 8 edges, and 5 vertices.

Answer sheet:

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