Docker has become a standard method for packaging web applications, particularly in the cloud, due to its benefits in local development and server deployments. This guide explores containerizing a Rust web application using Docker, demonstrating two approaches with different base images: Debian and Alpine, each with distinct trade-offs. The Debian-based approach utilizes a multistage build process to create a smaller, runnable container, while the Alpine-based method achieves significantly reduced image size by using a static Rust binary. Despite Alpine's smaller size, potential issues with C libraries and performance trade-offs due to memory allocation are noted. The choice between these images should be based on specific use case requirements and involves testing and profiling for optimal results. The guide serves as a starting point for using Docker with Rust, emphasizing that no single approach fits all production web services.