To calculate the minimum amount of wrapping paper needed to wrap the gift, Naomi would be finding the Surface Area.
The Surface Area of a three-dimensional object is the sum of the areas of all its faces. In this case, the gift is a rectangular prism with dimensions of length 10 inches, height 2 inches, and depth 3 inches.
To wrap the gift, Naomi would need to cover all six faces of the rectangular prism with wrapping paper. The formula for the Surface Area of a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
where l, h, and w are the length, height, and width of the rectangular prism, respectively.
Substituting the values for the length, height, and depth of the gift, we get:
Surface Area = 2(10 x 2) + 2(10 x 3) + 2(2 x 3)
Surface Area = 20 + 60 + 12
Surface Area = 92 square inches
Therefore, Naomi would need at least 92 square inches of wrapping paper to cover the gift, which is the Surface Area of the rectangular prism.