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29 December, 08:03

Sophie has a hard rubber ball whose circumference measures 13 inches. she wants to store it in a box. what is the number of cubic inches in the volume of the smallest cube - shaped box with integer dimensions that she can use?

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  1. 29 December, 10:31
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    Let r = radius of the hard rubber ball.

    Because the circumference of the ball is 13 inches, therefore

    2πr = 13

    r = 13 / (2π) = 2.069 in

    In order to fit the ball into a cube-shaped box with integer dimensions, each side of the box should measure 3 inches (the next integer greater than 2.069).

    The volume of the cube-shaped box is 3³ = 27 in³.

    Answer: The volume is 27 in³.
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