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19 votes
19 votes
Which solid has the net shown?

A. Triangular pyramid
B. Square pyramid
C. Rectangular prism
D. Triangular prism

Which solid has the net shown? A. Triangular pyramid B. Square pyramid C. Rectangular-example-1
User Anulal S
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2 Answers

13 votes
13 votes

Final answer:

To determine which solid a net represents, one must compare the shapes and arrangements of the faces on the net with the characteristics of known geometric solids, such as a triangular pyramid, a square pyramid, a rectangular prism, or a triangular prism.

Step-by-step explanation:

The student is asking about the type of solid that corresponds to a specific net shown in their question. The net of a triangular pyramid consists of one triangle for the base and three triangles as the lateral faces that meet at a point. A square pyramid has one square base with four triangles as its lateral faces. The net of a rectangular prism includes two rectangles for the top and bottom faces, and four rectangles for the lateral faces. Lastly, the net of a triangular prism includes two triangles for the bases and three rectangles for the lateral faces.

If we were to look at the nets of the solids mentioned above and compare them to the unit cells from close-packed lattices like a face-centered cubic or close-packed square lattice, we would not find a match, as these are different concepts. The face-centered cubic solid, mentioned as having atoms at the corners and centers of the faces of its unit cells, relates to crystal structures in chemistry, rather than the nets of geometric solids. Similarly, an icosahedron or an octahedron, with their specific numbers of faces and corners, do not correspond to the net options provided.

Therefore, without seeing the net in question, I cannot provide the exact answer. To correctly identify which solid the net corresponds to, you must match the number and shapes of faces on the net with those of the options provided: triangular pyramid, square pyramid, rectangular prism, or triangular prism.

User Yassir S
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2.2k points
29 votes
29 votes

Answer:

D

Step-by-step explanation:

User PeaceDealer
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