Final answer:
Without the height of the cup in the picture, we cannot determine its actual height using the scale provided.
Step-by-step explanation:
To find the actual height of the cup when the scale of the picture is given as 1 cm : 3 in, we need to know the height of the cup in the picture. Unfortunately, the height of the cup in the picture is not provided in the question. Therefore, we cannot determine the actual height of the cup. For completion, if we knew the picture height (for example, 4 cm), we would multiply it by the scale factor to find the actual height (4 cm × 3 in/cm = 12 in, which would tell us that the actual height is 12 inches).