Answer :
Final answer:
The maximum circumference of the dinner plates that will fit inside a cube-shaped box with a volume of 1,000 cubic inches is 31.4 inches.
Explanation:
Given that the packing box is cube-shaped, the sides are all equal. The volume of a cube is calculated by cubing of a side (s^3). To find the side length, we take the cube root of the volume. Thus, the side length of the box is cube root of 1000, which equals 10 inches. Since the box is cube-shaped, this is also the diameter of the dinner plates that will fit in the box.
The circumference of a circle is calculated by the formula C = πd, where d is the diameter of the circle. Therefore, the maximum circumference of the dinner plates is π times the diameter, which is 31.4 inches to the nearest tenth of an inch.
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