Box<> is explained like this on the Rust Book:
... allow you to store data on the heap rather than the stack. What remains on the stack is the pointer to the heap data.
With a description like that, I would expect the described object to be called Heap<> or somethingHeapsomethingelse (DerefHeap, perhaps?). Instead, we use Box.
Why was the name Box chosen?
First, Heap is a very overloaded term, and importantly a heap is an abstract datastructure often used to implement things like priority queues. Having a type called Heap which is not a heap would be extremely confusing, a good reason to avoid that.
Second, "box" is related to the concept of "boxing" or "boxed" objects, in languages which strongly distinguish between value and reference types e.g. Java or Javascript: https://en.wikipedia.org/wiki/Object_type_(object-oriented_programming), in those a "boxed" type is the heap-allocated version of a value type e.g. int/Integer in java, or number/Number in Javascript.
Rust's Box performs an operation which is similar in spirit. Box also originally had a built-in "lifting" operator called box (it's still an internal operation and was originally planned to be stabilised for placement new), as such "box"/"boxing" makes sense linguistically in a way "heap"/"heaping" really does not (as "heaping" hints at a lot of things being put on a heap).