The original 24 m edge length x of a cube decreases at the rate of 2m/min.   When x=2 m, the surface area is changing at a rate of_____m2/min. When x=2​m, the volume is changing at a rate of____m3/min.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
Problem 3E
Question

The original 24 m edge length x of a cube decreases at the rate of 2m/min.

 

When x=2 m, the surface area is changing at a rate of_____m2/min.

When x=2​m, the volume is changing at a rate of____m3/min.

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