Final answer:
To find the volume of the small-size box, calculate the volume of the regular-size box and multiply it by the given fraction. Provide the answer as a mixed number in simplest form.
Step-by-step explanation:
To find the volume of the small-size box, we need to determine what fraction of the volume of the regular-size box it represents. The problem states that the volume of the small-size box is 310 of the volume of the regular-size box. Let's assume the volume of the regular-size box is V. Then the volume of the small-size box is (310) * V.
Since the dimensions of the regular-size box are given, we can calculate its volume by multiplying the length, width, and height: V = (314 in * 712 in * 12 in)
Finally, we can calculate the volume of the small box by substituting the value of V and solving for (310) * V.
Don't forget to provide the answer as a mixed number in simplest form.