The edge of a variable cube is increasing at the rate of 3 cm/s. How fast is the volume of the cube increasing when the edge is 10 cm long? A. 300 cm³/s B. 600 cm³/s C. 1200 cm³/s D. 900 cm³/s Answer: D) 900 cm³/s Explanation: Volume V = x³. dV/dt = 3x²(dx/dt). Given dx/dt = 3 and x = 10. dV/dt = 3(10²)(3) = 900 cm³/s.

imo class 12 application of derivatives

The edge of a variable cube is increasing at the rate of 3 cm/s. How fast is the volume of the cube increasing when the edge is 10 cm long?

VAVidaara Admin Asked 6d ago 0 views 0 answers

The edge of a variable cube is increasing at the rate of 3 cm/s. How fast is the volume of the cube increasing when the edge is 10 cm long?

Answer: D) 900 cm³/s

Explanation: Volume V = x³. dV/dt = 3x²(dx/dt). Given dx/dt = 3 and x = 10. dV/dt = 3(10²)(3) = 900 cm³/s.