QQuestionMathematics
QuestionMathematics
How many faces, vertices, and edges does a cube have?
A. 6 faces, 8 vertices, 12 edges
B. 8 faces, 6 vertices, 12 edges
C. 12 faces, 8 vertices, 6 edges
D. 6 faces, 12 vertices, 8 edges
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Answer
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Step 1:I'll solve this step by step using precise LaTeX formatting:
Step 2:: Understand the Geometric Properties of a Cube
A cube is a three-dimensional geometric shape with: - All sides are equal squares - 6 identical square faces - Each face connects to 4 other faces
Step 3:: Count the Faces
- A cube has $$6$$ square faces
- Each face is a perfect square with equal sides
Step 4:: Count the Vertices
- A cube has $$8$$ vertices (corner points)
- These vertices are where three faces meet - Imagine the corners of a box
Step 5:: Count the Edges
- A cube has $$12$$ edges
- Each edge connects two vertices - 4 edges per face, with each edge shared by 2 faces
Step 6:: Verify the Solution
- $$12$$ edges
Checking the given options, we can see that option A matches our analysis:
Final Answer
A. 6 faces, 8 vertices, 12 edges
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