Question

One airline limits the size of carry-on luggage to a volume of 40,000 cm³. A passenger has a carry-on that has an area of 1,960 cm² and is 23 cm high. Is the passenger's luggage okay to carry onto the airplane?

a) Yes, the luggage meets the size limit.
b) No, the luggage exceeds the size limit.
c) Insufficient information to determine.
d) The question contains an error.

Answer 1

The passenger's luggage exceeds the size limit, with a calculated volume of 45,080 cm³, which is more than the allowed 40,000 cm³.

The passenger's luggage will be okay to carry onto the airplane as it meets the size limit set by the airline.

To determine whether the luggage meets the airline's carry-on size limitation, we need to calculate the volume of the passenger's luggage. The luggage has an area of 1,960 cm² and is 23 cm high. The volume is found by multiplying the area of the base by the height. So the calculation would be 1,960 cm² * 23 cm = 45,080 cm³.

Since the calculated volume of the luggage, 45,080 cm³, exceeds the maximum allowed volume of 40,000 cm³, the luggage does not meet the size limit, and thus the correct answer is (b) No, the luggage exceeds the size limit.