To solve this problem, we need to analyze each 3D object in the given images and determine which one matches the description of the number of faces, edges, and vertices provided for each question. Let's go through each question step by step.
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Question 1: 5 faces, 9 edges, 6 vertices
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Description: The object must have 5 faces, 9 edges, and 6 vertices.
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Analysis:
- A
triangular prism has:
- 5 faces (2 triangular bases and 3 rectangular lateral faces),
- 9 edges,
- 6 vertices.
- The other options:
- The pencil is not a polyhedron.
- The pyramid has 4 faces, 6 edges, and 4 vertices.
- The cube has 6 faces, 12 edges, and 8 vertices.
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Correct Answer: The triangular prism.
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Question 2: 6 faces, 12 edges, 8 vertices
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Description: The object must have 6 faces, 12 edges, and 8 vertices.
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Analysis:
- A
cube has:
- 6 faces,
- 12 edges,
- 8 vertices.
- The other options:
- The pyramid has 4 faces, 6 edges, and 4 vertices.
- The house-like structure has 5 faces, 9 edges, and 6 vertices.
- The Rubik's cube is essentially a cube.
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Correct Answer: The Rubik's cube (or any cube).
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Question 3: 5 faces, 8 edges, 5 vertices
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Description: The object must have 5 faces, 8 edges, and 5 vertices.
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Analysis:
- A
square pyramid has:
- 5 faces (1 square base and 4 triangular lateral faces),
- 8 edges,
- 5 vertices.
- The other options:
- The matchbox has 6 faces, 12 edges, and 8 vertices.
- The house-like structure has 5 faces, 9 edges, and 6 vertices.
- The dice has 6 faces, 12 edges, and 8 vertices.
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Correct Answer: The square pyramid.
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Question 4: 6 faces, 12 edges, 8 vertices
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Description: The object must have 6 faces, 12 edges, and 8 vertices.
-
Analysis:
- A
cube has:
- 6 faces,
- 12 edges,
- 8 vertices.
- The other options:
- The book is not a polyhedron.
- The house-like structure has 5 faces, 9 edges, and 6 vertices.
- The triangular prism has 5 faces, 9 edges, and 6 vertices.
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Correct Answer: The cube.
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Question 5: 5 faces, 8 edges, 5 vertices
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Description: The object must have 5 faces, 8 edges, and 5 vertices.
-
Analysis:
- A
square pyramid has:
- 5 faces (1 square base and 4 triangular lateral faces),
- 8 edges,
- 5 vertices.
- The other options:
- The matchbox has 6 faces, 12 edges, and 8 vertices.
- The triangular prism has 5 faces, 9 edges, and 6 vertices.
- The dice has 6 faces, 12 edges, and 8 vertices.
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Correct Answer: The square pyramid.
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Final Answers
1. Triangular prism
2. Cube (Rubik's cube)
3. Square pyramid
4. Cube
5. Square pyramid
Boxed Final Answer
\[
\boxed{
\begin{array}{l}
1. \text{Triangular prism} \\
2. \text{Cube} \\
3. \text{Square pyramid} \\
4. \text{Cube} \\
5. \text{Square pyramid}
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of faces vertices edges worksheet.
