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To find the volume of the rectangular prism, plug in the values into the formula V=B*h:
V = (1 3/4) * (4 1/8) * (3 2/3)
V = (7/4) * (33/8) * (11/3)
V = 77/4 * 11/3
V = 847/12
V = 70 7/12 in.³
Therefore, the volume of the rectangular prism is 70 7/12 in.³.