A shipping company is packing a box with one-cubic-centimeter blocks. The box is 14 centimeters long, 12 centimeters wide, and 16 centimeters high. How many one-cubic-centimeter blocks will fill the box?
The volume of the box is 14 * 12 * 16 = <<14*12*16=2688>>2688 cubic centimeters.
Therefore, 2688 one-cubic-centimeter blocks will fill the box. Answer: \boxed{2688}.