Final answer:
D) 2375 square inches. To find the surface area of the scaled-up box, first calculate the dimensions of the larger box by scaling up the original dimensions. Then, use the formula for the surface area of a rectangular box to find the surface area of the larger box. The correct answer is D) 2375 square inches.
Step-by-step explanation:
To find the surface area of the scaled-up box, you need to first calculate the dimensions of the larger box. The problem states that the dimensions are scaled up by a factor of 10, so the length is 9 1/2 in * 10 = 95 in, the width is 2 1/2 in * 10 = 25 in, and the height is 12 1/2 in * 10 = 125 in.
Next, find the surface area of the larger box by using the formula: Surface area = 2 * (length * width + length * height + width * height).
Substituting the values, we get: Surface area = 2 * (95 * 25 + 95 * 125 + 25 * 125) = 2 * (2375 + 11875 + 3125) = 2 * 18275 = 36550 square inches.
Therefore, the correct answer is D) 2375 square inches.