Given that the volume of the rectangular prism is 120 cubic inches, we can write the equation:
l * w * h = 120
where l, w, and h are the length, width, and height of the prism, respectively.
Since the length is 3 and the width is 10, we can plug in these values into the equation:
3 * 10 * h = 120
Solving for h, we get:
h = 120 / (3 * 10) = 120 / 30 = 4
So the height of the rectangular prism is 4 inches.
To find the surface area of the rectangular prism, we can add up the areas of all six faces:
2 * l * w + 2 * w * h + 2 * h * l
Plugging in the known dimensions, we get:
2 * 3 * 10 + 2 * 10 * 4 + 2 * 4 * 3 = 60 + 80 + 24 = 164 square inches
So the surface area of the rectangular prism is 164 square inches.