Final answer:
The surface area of a candle with the dimensions 10 cm x 8 cm x 8 cm is calculated as 896.0 square centimeters using the formula for the surface area of a rectangular prism. None of the provided answer choices match the correct amount of plastic wrap needed.
Step-by-step explanation:
To calculate the amount of plastic wrap needed to completely cover a candle with dimensions 10 cm x 8 cm x 8 cm, we need to calculate the surface area of the candle. Since the candle is a rectangular prism, we can use the formula for surface area of a rectangular prism: Surface Area = 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height of the prism. In this case, l = 10 cm, w = 8 cm, and h = 8 cm.
Substituting these values into the formula, we get:
Surface Area = 2(10 cm)(8 cm) + 2(10 cm)(8 cm) + 2(8 cm)(8 cm) = 2(80 cm²) + 2(80 cm²) + 2(64 cm²) = 160 cm² + 160 cm² + 128 cm² = 448 cm².
Since we have two of each face:
Total surface area = 448 cm² x 2 = 896 cm².
Thus, to the nearest tenth of a square centimeter, you would need 896.0 square centimeters of plastic wrap to completely cover the candle. Therefore, the correct answer among the options given is not listed. The correct answer is 896.0 square centimeters.