Slice angel food cake into six slices.

Mix cream cheese, whipped topping, and sugar together until smooth.

Arrange three cut slices of angel food cake along the bottom of loaf pan. Brush tops of cake with half of the iced coffee.

Spread half of cream cheese mixture onto the angel food cake in pan. Repeat with remaining angel food cake, iced coffee, and cream cheese mixture.

Sprinkle with cocoa powder and refrigerate for at least one hour.