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The original 24 m edge length x of a cube decreases at the rate of 4 m/min. a. What rate does the cube's surface area change, when x = 5 m,? b. What rate does the cube's volume change, when x = 5 m?

The original 24 m edge length x of a cube decreases at the rate of 4 m/min. a. What rate does the cube's surface area change, when x = 5 m,? b. What rate does the cube's volume change, when x = 5 m?

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Equations, Inequalities, And Mathematical Modeling
Section1.1: Graphs Of Equations
Problem 9ECP
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The original 24 m edge length \(x\) of a cube decreases at the rate of 4 m/min. a. What rate does the cube's surface area change, when \( x = 5 \) m? b. What rate does the cube's volume change, when \( x = 5 \) m? a. The surface area is changing at a rate of \(\boxed{\phantom{0}} \, \text{m}^2/\text{min}\). (Type an integer or a decimal. Do not round.) b. The volume is changing at a rate of \(\boxed{\phantom{0}} \, \text{m}^3/\text{min}\). (Type an integer or a decimal. Do not round.) Enter your answer in each of the answer boxes.
Transcribed Image Text:The original 24 m edge length \(x\) of a cube decreases at the rate of 4 m/min. a. What rate does the cube's surface area change, when \( x = 5 \) m? b. What rate does the cube's volume change, when \( x = 5 \) m? a. The surface area is changing at a rate of \(\boxed{\phantom{0}} \, \text{m}^2/\text{min}\). (Type an integer or a decimal. Do not round.) b. The volume is changing at a rate of \(\boxed{\phantom{0}} \, \text{m}^3/\text{min}\). (Type an integer or a decimal. Do not round.) Enter your answer in each of the answer boxes.
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