Geometry

Question Analysis

This question involves identifying the correct net of a 3D object. The main focus is on understanding the spatial relationship between the faces of the 3D object, specifically the adjacency of the two shaded faces.

 

Key Concept Explanation:

Nets of 3D Shapes: A net is a 2D pattern that can be folded to form a 3D shape. For a combination of a cube and a rectangular pyramid, we need to ensure that when the net is folded, the relative positions of the faces match those of the 3D object. In particular, adjacent faces in the 3D object should be adjacent in the net as well.

 

Step-by-Step Solution:

First, clearly identify the two shaded faces in the 3D object and note that they are adjacent, and the triangle is to the left of the square.

 

Then, examine each net option:

The correct net is option A. When folded, the shaded triangular face and the shaded square face are adjacent, with the triangle on the left side of the square, which is consistent with the 3D object.