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To find the surface area of a rectangular prism, you need to calculate the area of each of the six faces and then add them together.
The formula to find the surface area of a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
Given that the lengths are 7 in., 3 in., and 5 in., let's substitute these values into the formula:
Surface Area = 2(7)(3) + 2(7)(5) + 2(3)(5)
Surface Area = 42 + 70 + 30
Surface Area = 142
Therefore, the surface area of the rectangular prism is 142 square inches.