Measure buttermilk and set out at room temperature while you mix the other ingredients. (The butter should already be softened fully to room temperature before you start.)
1 and 1/2 cups buttermilk
Preheat oven to 350 degrees F. Lightly coat a 9"x13" cake pan with cooking spray, or line with parchment paper, and set aside.
In a large bowl, using an electric mixer if you have one, cream together the butter and sugar until they are fluffy and thoroughly mixed. Add eggs and vanilla extract, scrape down the sides of the bowl, and blend well again.
1/2 cup butter, 1 and 1/2 cups granulated sugar, 2 large eggs, 1 teaspoon vanilla extract
In a separate bowl, whisk together the flour, cocoa powder, baking soda, and salt.
1 and 2/3 cups all-purpose flour, 2/3 cup unsweetened cocoa powder, 1 and 1/2 teaspoons baking soda, 1 teaspoon table salt
With the mixer running on low speed, add half of the flour mixture to the butter-sugar blend. (If mixing by hand, just add half the flour, then gently fold it in.) Pour in the buttermilk, beat to incorporate, then add the rest of the flour mixture.
Continue to mix on low speed for about 30 seconds, then increase speed to medium-high, or mix as rapidly as you can by hand, to get a smooth and silky cake batter.
Pour batter into the pan and bake for 28-30 minutes, until a toothpick inserted into the center comes out clean or with moist crumbs. Let cake cool all the way to room temperature before frosting.
To make the frosting, use a food processor or blender to blitz the freeze-dried strawberries into a fine powder. It should reduce in volume to around 1/2 cup.
1 cup freeze-dried strawberries
In a large bowl, using an electric mixer if possible, beat the butter on medium-high speed until it is creamy. Add the powdered sugar, strawberry powder, 2 Tablespoons of milk, the vanilla extract, and a pinch of salt. Beat on low speed for about 30 seconds, then increase the speed to medium-high and whip until the frosting is smooth and even. Add the remaining Tablespoon of milk, if needed, to make the frosting loose enough that it is easy to spread. Add another pinch of salt if the frosting tastes overly sweet.
1 cup unsalted butter, 3 and 1/2 cups powdered sugar, 2-3 Tablespoons milk, 1 teaspoon vanilla extract, pinch table salt
Frost the cake as desired. If adding fresh strawberries as a garnish, don't add those until immediately before serving. Cake will keep well tightly covered at room temperature for 3-4 days.
fresh strawberries