One airline limits the size of carry-on luggage to a volume of 40,000 cm^3. A passenger has a carry-on that has an area of 1,960 cm^2 and is 23 cm high. Is the passenger's luggage OK to carry onto the airplane? show your work.

answer:  

\boxed {\frac{1}{5}}  

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solution-

60 *   \frac{1}{5}   = 12

90 * \frac{1}{5} = 18

75 * \frac{1}{5} = 15

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hence, the answer would be \boxed {\frac{1}{5}}