Explanation:
To find the area of the cloth needed to cover the box, you need to calculate the total surface area of the box, which consists of the side faces, front and back faces, and the top face.
The formula for the surface area of a cuboid is:
Surface Area = 2(lw + lh + wh)
Where:
l = length = 80 cm
w = width = 30 cm
h = height = 40 cm
Substitute the values into the formula:
Surface Area = 2(80 * 30 + 80 * 40 + 30 * 40)
Surface Area = 2(2400 + 3200 + 1200)
Surface Area = 2(6800)
Surface Area = 13600 square cm
So, you would need 13,600 square centimeters of cloth to cover the entire box.