Analysis
Question Analysis:
This question focuses on identifying which solids meet the geometric definition of a prism, based on structural descriptions.
The main focus is on understanding how base shape, number of bases, and face type determine prism classification.
Key Concept Explanation:
A prism must have:
Two parallel, congruent polygonal bases
Lateral faces that are parallelograms (including rectangles as special cases)
Can be right (lateral edges ⟂ base) or oblique (lateral edges slanted)
Step-by-Step Solution:
A:
– Bases: 2 pentagons (5 sides)
– Lateral faces: 5 parallelograms, slanted
→ ✅ Valid oblique pentagonal prism
B:
– 1 circular base + curved top
– All sides curved
→ ❌ Not a prism, but a cone
C:
– Bases: 2 squares
– Sides: 4 rectangles, vertical
→ ✅ Right rectangular prism
D:
– Bases: 2 parallelograms
– Sides...
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