Preheat your oven to 350°F and line a 13"x18" half-sheet pan with parchment paper. Set it aside.
Prepare the cake mixes according to the instructions on the box, adding 6 eggs, 1 cup of oil, and 2 cups of water.
Divide the batter evenly into 5 bowls and color each one with a different food coloring of your choice. I used pink, orange, yellow, green, and blue.
Transfer each colored batter into a separate large pastry bag.
Cut the tips off each pastry bag and pipe the batter onto the prepared pan in straight lines, alternating colors. Each line should be about 13 inches long. Once all the batter has been piped, take a toothpick and gently insert it into the center of the batter. Drag it out to the outer edge and back toward the center, creating a spoke-like pattern—this will give the cake a tie-dye effect.
Bake the cake for 25 minutes. Let it cool completely, then refrigerate for 2 hours. Afterward, use a cake cutter to cut out three 6-inch round layers.
Place the first layer on a cake plate, pipe dollops of frosting on top, and spread it out to cover the layer. Repeat this process with the remaining two layers. Do not frost the sides of the cake. Your cake is now ready to serve!