Which wrench type can have box-type sockets of different sizes attached to a handle?

The type of wrench that can have box-type sockets of different sizes attached to a handle is the socket wrench. This design allows for versatility and convenience, as users can quickly switch between various socket sizes to fit different fasteners without needing multiple wrenches. Socket wrenches utilize a ratcheting mechanism in many cases, enabling continuous turning without needing to reposition the tool after each turn, making them particularly efficient for tasks in tight spaces.

Open-end wrenches have fixed jaws at one end and do not allow for the attachment of different socket sizes. Box wrenches, while designed to fit over nuts and bolts, do not typically have the interchangeable socket feature that socket wrenches offer. Torque wrenches are specialized tools that measure the torque applied to a fastener and may come with interchangeable sockets, but their primary function is not just to tighten or loosen bolts like a standard socket wrench. Therefore, the ability to use different size sockets for various tasks makes the socket wrench the most suitable choice in this context.