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Answer: d = 13 inches.
Step-by-step explanation: The total surface area = 674 in²
Given the value of rectangular prism are 9 and 10 in respectively.
Area of rectangular prism = 2(lw+ wh+ lh)
2(d10 + 10×9+d9) = 2(19d+90) = 38d+180 = 674
38d = 674-180 = 494
d = 494/38 = 13in
∴ d = 13in