Answer:
D. 421 in.².
Explanation:
To determine the amount of wrapping paper needed to cover the shirt box, Patrick needs to calculate the surface area of the box.
The surface area of a rectangular box can be calculated by adding the area of each of its six faces. In this case, the box has two faces that measure 10 in. by 1.5 in., two faces that measure 17 in. by 1.5 in., and two faces that measure 10 in. by 17 in.
So, the total surface area of the box is:
2(10 in. x 1.5 in.) + 2(17 in. x 1.5 in.) + 2(10 in. x 17 in.)
= 30 in.² + 51 in.² + 340 in.²
= 421 in.²
Therefore, Patrick will need 421 in.² of wrapping paper to cover the rectangular shirt box.
The answer is D. 421 in.².