diff --git a/library/alloc/src/boxed.rs b/library/alloc/src/boxed.rs
index 35ac5c8ebf698..cc395759b2078 100644
--- a/library/alloc/src/boxed.rs
+++ b/library/alloc/src/boxed.rs
@@ -284,8 +284,13 @@ impl<T> Box<T> {
         Self::new_zeroed_in(Global)
     }
 
-    /// Constructs a new `Pin<Box<T>>`. If `T` does not implement `Unpin`, then
+    /// Constructs a new `Pin<Box<T>>`. If `T` does not implement [`Unpin`], then
     /// `x` will be pinned in memory and unable to be moved.
+    ///
+    /// Constructing and pinning of the `Box` can also be done in two steps: `Box::pin(x)`
+    /// does the same as <code>[Box::into_pin]\([Box::new]\(x))</code>. Consider using
+    /// [`into_pin`](Box::into_pin) if you already have a `Box<T>`, or if you want to
+    /// construct a (pinned) `Box` in a different way than with [`Box::new`].
     #[cfg(not(no_global_oom_handling))]
     #[stable(feature = "pin", since = "1.33.0")]
     #[must_use]
@@ -573,8 +578,13 @@ impl<T, A: Allocator> Box<T, A> {
         unsafe { Ok(Box::from_raw_in(ptr.as_ptr(), alloc)) }
     }
 
-    /// Constructs a new `Pin<Box<T, A>>`. If `T` does not implement `Unpin`, then
+    /// Constructs a new `Pin<Box<T, A>>`. If `T` does not implement [`Unpin`], then
     /// `x` will be pinned in memory and unable to be moved.
+    ///
+    /// Constructing and pinning of the `Box` can also be done in two steps: `Box::pin_in(x, alloc)`
+    /// does the same as <code>[Box::into_pin]\([Box::new_in]\(x, alloc))</code>. Consider using
+    /// [`into_pin`](Box::into_pin) if you already have a `Box<T, A>`, or if you want to
+    /// construct a (pinned) `Box` in a different way than with [`Box::new_in`].
     #[cfg(not(no_global_oom_handling))]
     #[unstable(feature = "allocator_api", issue = "32838")]
     #[rustc_const_unstable(feature = "const_box", issue = "92521")]
@@ -1190,12 +1200,18 @@ impl<T: ?Sized, A: Allocator> Box<T, A> {
         unsafe { &mut *mem::ManuallyDrop::new(b).0.as_ptr() }
     }
 
-    /// Converts a `Box<T>` into a `Pin<Box<T>>`
+    /// Converts a `Box<T>` into a `Pin<Box<T>>`. If `T` does not implement [`Unpin`], then
+    /// `*boxed` will be pinned in memory and unable to be moved.
     ///
     /// This conversion does not allocate on the heap and happens in place.
     ///
     /// This is also available via [`From`].
     ///
+    /// Constructing and pinning a `Box` with <code>Box::into_pin([Box::new]\(x))</code>
+    /// can also be written more concisely using <code>[Box::pin]\(x)</code>.
+    /// This `into_pin` method is useful if you already have a `Box<T>`, or you are
+    /// constructing a (pinned) `Box` in a different way than with [`Box::new`].
+    ///
     /// # Notes
     ///
     /// It's not recommended that crates add an impl like `From<Box<T>> for Pin<T>`,
@@ -1458,9 +1474,17 @@ impl<T: ?Sized, A: Allocator> const From<Box<T, A>> for Pin<Box<T, A>>
 where
     A: 'static,
 {
-    /// Converts a `Box<T>` into a `Pin<Box<T>>`
+    /// Converts a `Box<T>` into a `Pin<Box<T>>`. If `T` does not implement [`Unpin`], then
+    /// `*boxed` will be pinned in memory and unable to be moved.
     ///
     /// This conversion does not allocate on the heap and happens in place.
+    ///
+    /// This is also available via [`Box::into_pin`].
+    ///
+    /// Constructing and pinning a `Box` with <code><Pin<Box\<T>>>::from([Box::new]\(x))</code>
+    /// can also be written more concisely using <code>[Box::pin]\(x)</code>.
+    /// This `From` implementation is useful if you already have a `Box<T>`, or you are
+    /// constructing a (pinned) `Box` in a different way than with [`Box::new`].
     fn from(boxed: Box<T, A>) -> Self {
         Box::into_pin(boxed)
     }