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To find the size of a rectangular box that can hold a ball with a volume of ( 288\pi ) cm³, we first determine the radius of the ball using the volume formula for a sphere, ( V = \frac{4}{3}\pi r^3 ). Setting ( \frac{4}{3}\pi r^3 = 288\pi ) and solving for ( r ) gives ( r^3 = 216 ), resulting in ( r = 6 ) cm. Therefore, the diameter of the ball is ( 12 ) cm, which means a rectangular box that holds the ball should have internal dimensions of at least ( 12 ) cm x ( 12 ) cm x ( 12 ) cm.

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3w ago

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