Two similar refrigerators contain 20kg and 35kg of food items. If the height of the larger refrigerator is 1.5metres, calculate the height of the similar one to 3sf
To compare the heights of the two refrigerators, we can use the concept of volume. Assuming the food items are evenly distributed in the refrigerators, the ratio of the volume of the two refrigerators should be the same as the ratio of the weight of the food items.
Let x be the height of the smaller refrigerator.
Volume of the larger refrigerator = 1.5m x 35kg = 52.5 mkg
Volume of the smaller refrigerator = x m 20kg = 20x mkg
Since the ratio of the volume of the two refrigerators is the same as the ratio of the weight of the food items:
52.5 / 20x = 35 / 20
52.5 = 35x
x = 52.5 / 35
x = 1.5m
Therefore, the height of the smaller refrigerator is 1.5 meters.