Wash and dice all vegetables to approximately the same size, approximately 1/4 inch, with the exception of the onion which should be diced small. When preparing the cucumber peel the skin towards the stem (where the cucumber connected to the vine) - this is very important. Once peeled slice the cucumber in half, towards the stem then use a spoon to scoop out the seeds, again, towards the stem. Then dice the cucumber boats. Pre-shredded bagged carrots are pretty long shreds so roughly chop them to about 1/4 inch pieces.
Cut the tomatoes in half, if large in quarters. On a clean and dry cutting board dice the Sharp Cheddar Cheese into about 1/4 inch pieces also.