Pregunta
17. A particular 3-dimensional figure has 8 faces. Its bases are shaped like hexagons. An example of it can often be found as the writing tool of choice in many classes. What is it?
Ask by Davey Little. in the United States
Feb 18,2025
Solución de inteligencia artificial de Upstudy
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It is a hexagonal prism, like a pencil.
Solución
The 3-dimensional figure described in the problem is a hexagonal prism.
Here's the reasoning:
1. **Number of Faces**: The figure has 8 faces. A hexagonal prism consists of 2 hexagonal bases and 6 rectangular lateral faces, which totals to \(2 + 6 = 8\) faces.
2. **Shape of Bases**: The bases are hexagonal, which matches the description.
3. **Common Usage**: The mention of it being a writing tool often found in classes suggests that it is a pencil, which is commonly shaped like a hexagonal prism.
Thus, the answer is a **hexagonal prism** (specifically, a pencil).
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Simplifique esta solución The Deep Dive
The figure you’re thinking of is a hexagonal prism! This shape features two hexagonal bases and six rectangular side faces, making it a perfect example of a prism. It's widely recognized in classrooms, particularly in the form of the classic pencil, which often sports a hexagonal shape for a better grip while writing. Hexagonal prisms are not just educational tools! They also find uses in various fields, such as architecture and design, where their structural properties and aesthetic appeal come into play. You might see them in modern building designs or even as the shape of honeycomb patterns, which highlight the efficiency and beauty of hexagonal geometry in nature!
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