Place the wholegrain bread on a clean work surface. Spread each piece with a little hummus. Divide the carrot among the wholegrain bread. Top each with a slice of white bread.
Spread the white bread with remaining hummus and top each with a slice of cheese. Use a large serrated knife to cut each sandwich in half.
Place the capsicum along the centre of each triangle and place the cucumber along the long side of each triangle. Place the sandwiches on a large serving platter.