01 - Preheat oven to 350°F. Grease and line a 9x13-inch baking pan with parchment paper.
02 - In a medium bowl, whisk together flour, baking powder, baking soda, and salt. Set aside.
03 - In a large bowl, beat butter and granulated sugar until light and fluffy, about 2 to 3 minutes.
04 - Add eggs one at a time, beating well after each. Mix in vegetable oil and vanilla extract.
05 - Add half of the dry ingredients to the wet mixture, then mix in buttermilk. Add the remaining dry ingredients and stir until just combined.
06 - Gently fold in diced strawberries using a rubber spatula.
07 - Transfer batter to prepared pan, smoothing the top. Bake for 32 to 36 minutes, until a toothpick inserted in the center comes out clean. Cool completely in pan.
08 - Beat cream cheese and unsalted butter until smooth. Add powdered sugar, pureed strawberries, vanilla extract, and salt. Beat until fluffy and well combined.
09 - Spread the strawberry cream cheese frosting over the cooled cake. Slice and serve.