Final answer:
The maximum number of 14-2 with ground nonmetallic-sheathed cables permitted in an 18-cubic-inch device box, along with a single-pole switch, is 3.
Step-by-step explanation:
The maximum number of 14-2 with ground nonmetallic-sheathed cables permitted in an 18-cubic-inch device box, along with a single-pole switch, is C. 3.
According to electrical code regulations, each cable entering a device box counts as two conductors, and each device (such as a switch) counts as two conductors. To calculate the maximum number of cables and devices permitted in a box, we use the following formula:
(Number of conductors) / (2 + 2)
For an 18-cubic-inch device box, the maximum number of cables and devices can be found by dividing the number of conductors by 4. In this case, with 14-2 cables (which have 3 conductors each), we divide 3 by 4, which gives us 0.75. Since we can't have a fraction of a cable, we round down to the nearest whole number. Therefore, the maximum number of 14-2 with ground nonmetallic-sheathed cables permitted in the box is 3.