Question about Prisms and Pyramids: Layouts and Characteristics
Subject Mathematics
Mathematics
Source Originais Teachy
Originais Teachy
Topic Prisms and Pyramids: Layouts and Characteristics
Prisms and Pyramids: Layouts and Characteristics
Difficulty Medium
Medium
(Originais Teachy 2023) - Question Medium of Mathematics
João is playing with cardboard and decides to make some simple geometric constructions. He cuts some sheets into appropriate shapes and folds them to create three-dimensional figures. After creating a rectangular prism and a pyramid with the same base and height, he observes that the flat patterns of the figures have distinct characteristics. Considering the flat pattern of the prism and the flat pattern of the pyramid, describe the differences that João can observe regarding the number of edges and faces of each figure and explain how he can identify which is the flat pattern of which figure without folding them again. Tip: Remember that the flat pattern of a figure is the shape it would have if it were 'unfolded' in two dimensions, as if it were a template to be assembled later.a.
The flat pattern of the rectangular base prism has 6 faces and 12 edges, while the flat pattern of the pyramid with the same base and height has 6 faces and 11 edges.
b.
The flat pattern of the rectangular base prism has 7 faces and 14 edges, while the flat pattern of the pyramid with the same base and height has 5 faces and 10 edges.
c.
The flat pattern of the square base prism has 6 faces and 12 edges, while the flat pattern of the pyramid with the same base and height has 5 faces and 10 edges.
d.
The flat pattern of the rectangular base prism has 6 faces and 12 edges, while the flat pattern of the pyramid with the same base and height has 5 faces and 8 edges.
e.
The flat pattern of the rectangular base prism has 8 faces and 10 edges, while the flat pattern of the pyramid with the same base and height has 6 faces and 12 edges.
Answer sheet:
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Answer sheet
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