Final answer:
The surface area of the cube-shaped shipping box with 40 cm sides is 0.96 square meters.
Step-by-step explanation:
The question is about finding the surface area of a shipping box that is shaped like a cube. Given that the length, width, and height of the box are all 40 cm, we can calculate the surface area by multiplying the area of one face of the cube with six, since a cube has six identical faces. To convert the area to square meters, we first calculate the area in square centimeters and then convert to square meters by dividing by 10,000 (since 100 cm x 100 cm = 1 m²).
The area of one face of the cube is 40 cm x 40 cm = 1600 cm². Therefore, the total surface area of the cube is 6 x 1600 cm² = 9600 cm². To convert this to square meters, we have 9600 cm² / 10,000 = 0.96 m².
Thus, the surface area of the shipping box is 0.96 m².