Passage

Directions: In the following item, quantity I and quantity II are given. Determine the relationship between the quantities and choose the appropriate option. (1) If Quantity I ≥ Quantity II (2) If Quantity I > Quantity II (3) If Quantity I < Quantity II (4) If Quantity I = Quantity II or the relationship cannot be established from the information given (5) If Quantity I ≤ Quantity II

A spherical ball of radius 3.5 cm is to be shipped in a rectangular container. The dimensions of the container are consecutive even numbers. Quantity I: The minimum volume of the container Quantity II: 960 cm³

The spherical ball has a diameter of 7 centimeters, meaning its minimum dimension requirements force the rectangular container to have dimensions greater than 7. The container has dimensions of consecutive even numbers, so the only possible dimensions fitting these rules are 8, 10, and 12 centimeters. The volume is calculated as 8 times 10 times 12, which equals 960 cubic centimeters. Quantity I perfectly equals Quantity II, making their relationship exact.

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