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,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

,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

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.1: Prisms, Area And Volume
Problem 43E
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,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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