Final answer:
The maximum number of 14 AWG conductors that can be installed in the handy box is 1910. None of the given options is correct.
Step-by-step explanation:
When determining how many 14 AWG conductors can be installed in a handy box, we need to consider the volume of the box and the space occupied by each conductor.
The volume of a handy box can be calculated by multiplying its length, width, and depth. Assuming the box is rectangular, let's say 2 inches by 4 inches by 1 7/8 inches deep, the volume would be 15.75 cubic inches.
Each 14 AWG conductor has a diameter of approximately 0.06408 inches, so the space occupied by one conductor can be calculated using the formula for the volume of a cylinder (pi * r^2 * h). For a 14 AWG conductor, the volume would be approximately 0.008230 cubic inches.
By dividing the volume of the box by the volume of one conductor, we can determine how many conductors can be installed. In this case, 15.75 cubic inches divided by 0.008230 cubic inches equals 1910.51, which means that there could be a maximum of 1910 conductors in the box.
However, we need to consider that the answer should be a whole number since we cannot install fractional conductors. Therefore, the maximum number of 14 AWG conductors that can be installed in the handy box is 1910.