Find the volume of each and then divide the volume of the box by the volume of the cube.
Volume of box: 8 1/2 x 5 1/2 x 2 1/2 = 116 7/8 cubic inches.
Volume of cube = 1/2^3 = 1/8 cubic inches
Number of cubes: 116 7/8 / 1/8 = 935 cubes.
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