Looking at the surface of a smooth 3-dimensional object from the outside, which one of the following options is TRUE?

The surface of the object must be concave everywhere.
The surface of the object must be convex everywhere.
The surface of the object may be concave in some places and convex in other places.
The object can have edges, but no corners.

Correct answer: The surface of the object may be concave in some places and convex in other places.

Solution

The correct option acknowledges that a smooth 3-dimensional object can have varying surface geometries, allowing for both concave and convex areas, which is common in many natural and manufactured shapes.

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