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To find the height of the right rectangular prism, we can use the formula for the volume of a rectangular prism:
Volume = length * width * height
Given that the length is 2 cm, the width is 10 cm, and the volume is 75 cm^3, we can plug these values into the formula:
75 = 2 * 10 * height
75 = 20 * height
To solve for the height, divide both sides by 20:
height = 75 / 20
height = 3.75
Therefore, the height of the right rectangular prism is 3.75 cm.