The approximate change in the volume of a cube of side x metres caused by increasing the side by 1% is:
The approximate change in the volume of a cube of side x metres caused by increasing the side by 1% is:
- A. 0.03x³ m³
- B. 0.01x³ m³
- C. 0.02x³ m³
- D. 0.06x³ m³
Answer: A) 0.03x³ m³
Explanation: Volume V = x³. dV = 3x² dx. dx = 1% of x = 0.01x. dV = 3x² × 0.01x = 0.03x³.
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