A cube whose edge is 14 cm long has on each of its faces a circle of 7 cm radius painted yellow. What is the total area of unpainted surface? (Take \pi=\frac{22}{7})
- A. 126 square cm
- B. 189 square cm
- C. 252 square cm ✓
- D. 315 square cm
Correct Answer: C. 252 square cm
Explanation
Total surface area of the cube = 6 \times (14)^2 = 1176 sq cm. Area of 6 painted circles = 6 \times \pi r^2 = 6 \times (22/7) \times 7^2 = 924 sq cm. Unpainted area = 1176 - 924 = 252 sq cm.
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