Yes, it is possible to have a three-dimensional object in four dimensions. In mathematics, objects in higher-dimensional spaces can be conceptualized and represented, even if we can't visualize them directly.
To understand this concept, let's consider a simple example using a three-dimensional object, such as a cube, in four dimensions. In three dimensions, a cube has three pairs of parallel faces, eight vertices (corners), and twelve edges.
To extend this cube into the fourth dimension, we introduce an additional coordinate axis perpendicular to the existing three axes. This fourth axis represents the fourth dimension. Instead of visualizing the entire four-dimensional cube (also known as a "tesseract"), which is challenging, we can examine its projections or cross-sections in three dimensions at specific instances.
Imagine projecting a tesseract onto three-dimensional space at different moments or slicing it. At each slice, you would observe a different three-dimensional object. These slices would vary, representing different configurations of the tesseract in three-dimensional space.
In this way, we can represent a three-dimensional object (like a cube) in a four-dimensional space, even if we can't directly perceive or visualize the full four-dimensional object.