The volume of a cube is increasing at a constant rate of 1392 cubic meters per minute. At the instant when the side length of the cube is 7 meters, what is the rate of change of the surface area of the cube? Round your answer to three decimal places (if necessary).

The volume of a cube is increasing at a constant rate of 1392 cubic meters per minute. At the instant when the side length of the cube is 7 meters, what is the rate of change of the surface area of the cube? Round your answer to three decimal places (if necessary).

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Polynomial Functions

Section3.5: Mathematical Modeling And Variation

Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...

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Question

The volume of a cube is increasing at a constant rate of 1392 cubic meters per minute. At the
instant when the side length of the cube is 7 meters, what is the rate of change of the surface
area of the cube? Round your answer to three decimal places (if necessary).

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Step 1: Given the rate of change of volume of cube.

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