Slice the hoagie roll. Cut a hole across the top for the roll, being careful not to cut all the way through.
Cut a small triangle out of the cheese and set it aside to use later. Put the remaining cheese and deli meat on the bottom half of the roll.
Put mayonnaise and mustard on the top half of the roll, and top with lettuce. Place the top half of the roll on the bottom half.
Slice two of the tomatoes n half. Cut four slices of cucumber. Using toothpicks, attach the tomatoes to the cucumbers and stick the toothpicks into the side of the sandwich. These are the car wheels.
For the driver's body, slice off the end of the cucumber. Use a toothpick to attach the third tomato and pickle slices. That is your driver. Place the driver in the hole you cut in step 1.
Cut a slice of cucumber. Cut the cucumber slice in half, and remove most of the flesh, leaving a crescent shape. Use a knife to cut two small slits into the top of the roll and insert the crescent shaped cucumber. This is the dashboard.
Use a toothpick to insert on slivered carrot stick into the front of the roll. This is the car's hood ornament.
Use a toothpick and the reserved triangle of cheese to add a flag to the back of the racecar.