Difficulty: Easy
Correct Answer: Correct
Explanation:
Introduction / Context:
Boolean operations (Union, Subtract, Intersect) are core solid-modeling tools. By uniting primitives like boxes, cylinders, and spheres, designers quickly assemble complex topologies before refining details. This question checks awareness of Union's role in building up geometry.
Given Data / Assumptions:
Concept / Approach:
Union merges volumes of two or more solids into a single continuous solid. It complements Subtract (removal) and Intersect (common volume) to sculpt forms efficiently.
Step-by-Step Solution:
Verification / Alternative check:
Analyze mass properties before and after; volume equals the sum minus overlap. Sectioning reveals continuous internal structure.
Why Other Options Are Wrong:
“Incorrect,” “Only works for 2D regions,” “Works only with perspective view,” and “Valid only for meshes” misstate Boolean scope. Union works on 3D solids (and on regions for 2D area combination), independent of visual style.
Common Pitfalls:
Attempting Union on non-overlapping bodies; mixing surfaces/meshes with solids; failing to resolve self-intersections before Boolean.
Final Answer:
Correct
Discussion & Comments