The original 24 m edge length x of a cube decreases at the rate of 2 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 of m/min. (Type an integer or a decimal.)

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
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Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 54AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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The original 24 m edge length x of a cube decreases at the rate of 2 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 m/min.
(Type an integer or a decimal.)
b. When x = 6 m, the volume is changing at a rate of m/min.
(Type an integer or a decimal.)
3.
Transcribed Image Text:The original 24 m edge length x of a cube decreases at the rate of 2 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 m/min. (Type an integer or a decimal.) b. When x = 6 m, the volume is changing at a rate of m/min. (Type an integer or a decimal.) 3.
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