The number \( 1.3 \times 10^3 \) in standard form represents \( 1300 \).
Now, let's evaluate each option:
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The capacity, in gallons, of a water tank: This makes sense, as water tanks can easily hold thousands of gallons.
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The width, in inches, of a notebook: This seems too large for a notebook width, which is typically less than 12 inches.
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The length, in meters, of a car: This is also a reasonable possibility since many cars are around or slightly longer than 4 meters, but 1300 meters would be extraordinarily long for a car.
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The speed, in miles per hour, of a cat: A speed of 1300 miles per hour is far beyond what a cat could achieve, so this option does not make sense.
Based on this analysis, the most logical answer is: the capacity, in gallons, of a water tank.