You can grow carrots in a grow-box just like the Pilgrims did on the Mayflower voyage many years ago. Step 1 Build your box to any size you want. 12 inches deep is best.
Redwood is the most favorable material.
Step 3 Plant carrot seeds in early spring. Make rows 4-5 inches apart. Make a shallow furrow in each row and sprinkle seeds in the furrow. Cover seeds with soil. Step 4 Thin the crop when the carrots are as thick around as your fingers.