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Deep rooted plants such as tomatoes, zucchini, corn, and perennial fruits and vegetables, do best in planters at least 22 inches tall, or shorter if the ground below is usable.
If you are going to grow black-eyed peas in a container, you should stick to bush varieties and your pots should be around 12-inches deep with very good drainage. Soil in a container will dry out faster than outside garden soil, but you still want to make sure you are not over-watering your plants.