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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

Anna was given a school project that involves creating 3D models of different buildings in her city. She researched the structures and found that most buildings can be represented as either prisms or pyramids. Anna decided to start with a model of the city's central library, which she identified as a rectangular prism. To accurately create the model, she needs to cut out a net of the rectangular prism from a cardboard sheet. The net of a 3D shape is a 2D representation of the shape's faces that can be folded to form the shape. Help Anna identify the net of the rectangular prism so she can make sure she includes all the necessary faces and edges in her cardboard model. Which of the following is the correct net for a rectangular prism, and what are the characteristics of the net that distinguish it from the nets of other shapes she may encounter during her project?
a.
The correct net for a rectangular prism consists of 4 rectangles, each pair of which is opposite and parallel, representing the 4 faces of the prism. The characteristics that distinguish it from nets of other shapes include the specific arrangement of rectangles and the total number of rectangles, edges, and vertices.
b.
The correct net for a rectangular prism consists of 6 rectangles, each pair of which is opposite and parallel, representing the 6 faces of the prism. The characteristics that distinguish it from nets of other shapes include the specific arrangement of rectangles and the total number of rectangles, edges, and vertices.
c.
The correct net for a rectangular prism is a shape with 8 faces and 12 edges. It can be folded to form the prism. It is identified by the presence of both rectangular and triangular faces.
d.
The correct net for a rectangular prism is a single rectangle that can be folded and joined to form the 3D shape. It is distinguished from other nets by the presence of right angles and equal sides.
e.
The correct net for a rectangular prism includes 6 triangles that can be folded to form the prism. The characteristics that distinguish it from nets of other shapes are the number of faces, edges, and vertices it has.

Answer sheet:

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