Are dice tomatoes the same crush tomatoes?

No, dice tomatoes and crush tomatoes are not the same.

While both are canned tomatoes, dice tomatoes are diced or chopped tomatoes, while crush tomatoes are tomatoes that have been crushed or puréed. Dice tomatoes are typically used in dishes where you want to see pieces of tomato, such as in salads, salsas, and soups. Crush tomatoes are typically used in dishes where you want a smooth tomato sauce, such as pasta sauces, pizzas, and stews.