74 cm
1) Since the rectangular top of a small box is a rectangle is 140mm by 230mm then let's find the perimeter.
2p= 2(b+h) Perimeter of a rectangle
2p= 2(140 +230)
2p = 2(370)
2p= 740
2) So the perimeter is 740mm. Let's convert it to centimeters simply dividing it by 10
740 ÷ 10 = 74cm
3) Hence, the ribbon needs to be 74cm long to go all the way around that box