Final Answer:
Tyrone need 54 square inches of wrapping paper is needed to cover a box, so the correct option is 2.
Step-by-step explanation:
To find out how much wrapping paper Tyrone needs to cover the box, we need to calculate the surface area of the box.
The box is a rectangular prism, and its surface area can be found by calculating the area of each of the six faces and adding them together.
There are two faces for each set of identical dimensions.
The formula for the surface area (SA) of a rectangular prism is given by:
SA = 2lw + 2lh + 2wh
where l is length, w is width, and h is height.
Using the given dimensions:
Height h = 1 inch
Length l = 6 inches
Width w = 3 inches
Now, we plug these values into the formula:
SA = 2 × (6 × 3) + 2 × (6 × 1) + 2 × (3 × 1)
SA = 2 × 18 + 2 × 6 + 2 × 3
SA = 36 + 12 + 6
SA = 54
Therefore, the surface area of the box is 54 square inches, which means Tyrone would need 54 square inches of wrapping paper to cover the box.
The correct answer is option 2) 54 square inches.