To calculate the minimum amount of cardboard needed for the box, we find the surface area, which is 584 square inches using the formula for the surface area of a rectangular prism. Therefore, none of the provided options (A, B, C, D) are correct.
To calculate the minimum amount of cardboard needed to construct a box with the given dimensions, we need to find the surface area of the right rectangular prism that represents the box. The dimensions provided are 18 inches long, 10 inches wide, and 4 inches tall. The surface area (SA) of a rectangular prism is calculated by the formula:
SA = 2lw + 2lh + 2wh
where l is the length, w is the width, and h is the height. Using the given dimensions:
SA = 2(18)(10) + 2(18)(4) + 2(10)(4)
SA = 360 + 144 + 80
SA = 584 square inches
Therefore, the minimum amount of cardboard needed to make one box is 584 square inches, which means the correct answer is not listed in the options provided.