In short: a 3D model is a digital object built from a mesh, a wireframe shape made of connected points and flat faces, then wrapped in a texture, a flat image that gives it color and detail. Drag to go from bare shape to finished object.
Strip away the shading and every 3D model breaks down into the same three layers, built in this order.
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Quick answers
What is the difference between a mesh and a 3D model?
A mesh is the shape itself, points connected into flat faces. A 3D model usually means the finished object: the mesh plus its texture and material, ready to be placed into a scene.
Why does a 3D model need a texture if the shape already exists?
A mesh on its own is just plain grey faces. A texture is a flat image wrapped around it that adds color, labels, and surface detail, so the same shape can look like wood, metal, or fabric depending only on the texture applied.
What is the difference between a texture and a material?
A texture is the image painted onto the surface. A material decides how that surface reacts to light, whether it looks shiny, matte, rough, or see-through. Two objects can share the same texture and look completely different with different materials.
Does a 3D model move on its own?
No. A model on its own is a static shape and surface. Movement comes from animation, a separate layer of instructions that bends or repositions the mesh over time.