Final answer:
To find the amount of wrapping paper needed to close and wrap the box, calculate the surface area of the box by adding up the areas of its six faces. The box in the picture has a length of 3 inches, a width of 2 inches, and a height of 4 inches. Therefore, Trenton will need 52 square inches of wrapping paper.
Step-by-step explanation:
To calculate the amount of wrapping paper needed to close and wrap the box, we need to find the total surface area of the box. The box shown in the picture has a rectangular shape, so we can calculate its surface area by adding up the areas of its six faces.
Given that the length, width, and height of the box are 3 inches, 2 inches, and 4 inches, respectively, we can calculate the surface area as follows:
- Find the area of the bottom face: length * width = 3 in * 2 in = 6 in²
- Find the area of the top face: length * width = 3 in * 2 in = 6 in²
- Find the area of the front face: length * height = 3 in * 4 in = 12 in²
- Find the area of the back face: length * height = 3 in * 4 in = 12 in²
- Find the area of the left side face: width * height = 2 in * 4 in = 8 in²
- Find the area of the right side face: width * height = 2 in * 4 in = 8 in²
Add up the areas of all six faces: 6 in² + 6 in² + 12 in² + 12 in² + 8 in² + 8 in² = 52 in²
Therefore, Trenton will need 52 square inches of wrapping paper.