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The original 24 m edge length x of a cube decreases at the rate of 3 m/min. a. When x = 6 m, at what rate does the cube's surface area change? b. When x = 6 m, at what rate does the cube's volume change? a. When x = 6 m, the surface area is changing at a rate of (Type an integer or a decimal.) m²/min. b. When x = 6 m, the volume is changing at a rate ofm³/min. (Type an integer or a decimal.)

The original 24 m edge length x of a cube decreases at the rate of 3 m/min. a. When x = 6 m, at what rate does the cube's surface area change? b. When x = 6 m, at what rate does the cube's volume change? a. When x = 6 m, the surface area is changing at a rate of (Type an integer or a decimal.) m²/min. b. When x = 6 m, the volume is changing at a rate ofm³/min. (Type an integer or a decimal.)

Algebra: Structure And Method, Book 1
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 2ST
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The original 24 m edge length x of a cube decreases at the rate of 3 m/min. a. When x = 6 m, at what rate does the cube's surface area change? b. When x = 6 m, at what rate does the cube's volume change? a. When x=6 m, the surface area is changing at a rate of (Type an integer or a decimal.) m²/min. b. When x = 6 m, the volume is changing at a rate ofm³/min. (Type an integer or a decimal.)
Transcribed Image Text:The original 24 m edge length x of a cube decreases at the rate of 3 m/min. a. When x = 6 m, at what rate does the cube's surface area change? b. When x = 6 m, at what rate does the cube's volume change? a. When x=6 m, the surface area is changing at a rate of (Type an integer or a decimal.) m²/min. b. When x = 6 m, the volume is changing at a rate ofm³/min. (Type an integer or a decimal.)
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