Once the cake has fully cooled, place it on a cutting board. Measure the height on 4 sides. Use toothpicks to mark evenly where the top should be cut off, and where the cake should be cut in half.
Use a serrated knife to slice off the top along the top of the toothpicks, and discard the browned top.
Slice the cake into two thin, even layers along the toothpicks. Move the top layer of cake onto a spinning cake stand (*Footnote), cut side down. Brush the syrup evenly onto the top of the cake.
Flip the other layer of the cake upside down. Brush the syrup evenly over the top.
Add a large dollop of the whipped cream onto the cake layer on the cake stand. Spread the cream with an offset spatula into an even thin layer across the top until the cream is just spilling over the edge.
Arrange as many strawberries as possible evenly on the cream.
Put another large dollop of cream on top of the strawberries. Spread evenly and thinly until just spilling over.
Place the top layer of the cake on top and line it up with the bottom cake.
Add another dollop of cream to the cake and spread again.
Smooth out the sides of the cake using the cream that spilled over earlier. Add a little extra cream if needed.
Once the cake is covered with a thin, even layer of cream, add another larger dollop to the cake. Spread a thicker layer of cream on top and then smooth out the sides.
(Optional) If you have any cream left, add it to a piping bag or ziplock bag with the corner cut off for decorating the top and/or sides if desired.
Decorate the cake with the remaining strawberries on top.
If using stabilized cream, place the cake uncovered in the refrigerator for at least 30 minutes to let the cream set. If using unstabilized cream, serve immediately or refrigerate and serve within a few hours.
To serve, you can slice the cake using a serrated knife once you transfer the cake from the fridge, if using unstabilized cream. If using stabilized cream, you can let the cake come back to room temperature, 1 hour or so, to achieve the best texture.