Find the odd item (2D vs 3D objects): Identify the option that is a plane figure, unlike the others which are solid figures.
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ACube
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BSquare
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CCuboid
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DSphere
Answer
Correct Answer: Square
Explanation
Introduction / Context:Another classic geometry categorization: distinguish between two-dimensional plane figures and three-dimensional solids. Understanding dimensionality is a fundamental skill and yields an unambiguous odd-one-out here.
Given Data / Assumptions:
- Cube: 3D solid with 6 equal square faces, 12 edges, 8 vertices.
- Cuboid: 3D solid (rectangular prism) with 6 rectangular faces.
- Sphere: 3D solid with all points on the surface equidistant from the center; no edges or vertices.
- Square: 2D plane figure with 4 equal sides and 4 right angles.
Concept / Approach:Classify by dimensionality. Solids have volume and three dimensions (length, width, height), while plane figures have area and two dimensions (length, width). Only one option is purely 2D.
Step-by-Step Solution:
1) Tag dimensions: Cube, Cuboid, Sphere → 3D; Square → 2D.2) Count categories: three solids vs one plane figure.3) The lone 2D member—Square—is the odd option.Verification / Alternative check:Check physical properties: volume exists for solids (cube, cuboid, sphere). Square has area but no volume, reinforcing the distinction.
Why Other Options Are Wrong:Cube, cuboid, and sphere all unambiguously possess volume and are three-dimensional geometric solids.
Common Pitfalls:Do not be misled by face shapes (e.g., cube faces are squares); the item itself must be judged, not its faces.
Final Answer:Square