Final answer:
To calculate the surface area of the cardboard box, the formula 2(LW + LH + WH) is used. With the given dimensions of length 5 cm, width 2 cm, and height 8 cm, the surface area is 132 cm², which is not one of the provided options.
Step-by-step explanation:
To calculate the surface area of a rectangular box, you need to find the area of all six faces and then sum them up. For a box with a length L, a width W, and a height H, the surface area is calculated as:
Surface Area = 2(LW + LH + WH)
In this case, the length is 5 cm, the height is 8 cm, and the width is 2 cm. The surface area calculation would be:
Surface Area = 2(5 cm × 2 cm + 5 cm × 8 cm + 8 cm × 2 cm)
Surface Area = 2(10 cm² + 40 cm² + 16 cm²)
Surface Area = 2(66 cm²)
Surface Area = 132 cm²
Therefore, none of the options A) 52 square cm, B) 94 square cm, C) 112 square cm, D) 164 square cm is correct. The actual surface area is 132 square cm.