Stir pudding mix, whipped topping, and milk together in a medium bowl until well blended.
Arrange a single layer of graham cracker squares in the bottom of a 13×9 inch baking pan. Evenly spread half of the pudding mixture over the crackers. Top with another layer of crackers and the remaining pudding mixture. Top with a final layer of graham crackers.
Spread the frosting over the whole cake up to the edges of the pan. Cover, and chill at least 4 hours before serving.
The frosting will be easier to spread if the cake is covered and chilled for about 30 minutes before spreading.
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