In solid geometry, is it correct that a solid body is bounded by the surfaces that enclose its volume (e.g., planes, cylinders, spheres forming the outer boundary)?

Difficulty: Easy

Correct Answer: Correct

Explanation:


Introduction / Context:
Basic definitions anchor all higher-level modeling and drafting work. A solid occupies volume; its boundary is a closed set of surfaces. Recognizing this helps in feature operations (shell, fillet), sectioning, and mass property evaluation in CAD.


Given Data / Assumptions:

  • Solids are 3D regions with interior volume.
  • Bounding surfaces may be planar or curved.
  • The boundary is closed (no gaps) to enclose volume.


Concept / Approach:
The definition of a solid includes an external boundary forming a manifold surface. Whether piecewise planar (polyhedra) or smoothly curved (spheres), the enclosing surfaces separate interior from exterior, enabling volume, centroid, and inertia calculations.


Step-by-Step Solution:

Identify the body: any 3D object with volume (e.g., cube, cylinder).List its enclosing faces/surfaces: planes, cylindrical, or spherical patches.Confirm closure: surfaces join edge-to-edge without gaps.Conclude: the solid is indeed bounded by its enclosing surfaces.


Verification / Alternative check:
In CAD, viewing section cuts shows a finite interior. Mass properties require a watertight boundary, reinforcing the definition.


Why Other Options Are Wrong:
Limiting truth to prisms or planar faces ignores curved solids; projection/view choice does not affect geometric definition.


Common Pitfalls:
Confusing wireframe (no surface) with solids; mistaking open surfaces (no volume) for solids.


Final Answer:
Correct

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