,A large cube of ice melts such that it maintains its shape. The surface area is decreasing at the rate of 24cm? / hour. What is the rate of change of the volume of the cube, dV/dt (in cm*/hour) when the side length z is 4cm? The formula for the volume of a cube is V = r3. The formula for the surface area of a cube is SA = 6x2. %3D a) –12 b) -24 c) -6 d) 3 e) –4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
,A large cube of ice melts such that it maintains its shape. The surface area is decreasing at
the rate of 24cm? / hour. What is the rate of change of the volume of the cube, dV/dt (in cm /hour)
when the side length a is 4cm? The formula for the volume of a cube is V = r. The formula for the
surface area of a cube is SA = 6x?.
а) - 12
b) -24
c) -6
d) 3
e) -4
Transcribed Image Text:,A large cube of ice melts such that it maintains its shape. The surface area is decreasing at the rate of 24cm? / hour. What is the rate of change of the volume of the cube, dV/dt (in cm /hour) when the side length a is 4cm? The formula for the volume of a cube is V = r. The formula for the surface area of a cube is SA = 6x?. а) - 12 b) -24 c) -6 d) 3 e) -4
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