Document Word https WWW ma XT.COm uden OmeWO aspx OmeWor ques 24.4.25 11 of 11 c

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Document Word https WWW ma XT.COm uden OmeWO aspx OmeWor ques 24.4.25 11 of 11 complete Ex. Score: 0 of 9 pts HW Score: 53.5% (53.5 of 100 pts) A metal cube dissolves in acid such that an edge of the cube decreases by 0.40 mm/min. How G fast is the volume of the cube changing when the edge is 7.60 mm? The volume is changing at a rate of mm3 min. Round to the nearest integer as needed.) Enter your answer in the answer box, then click Check Answer All parts showing Clear All Check Answer Save HERE 2:54 PM 4/25/2015

Explanation / Answer

Volume = V

Side length = a

V = a^3

Deriving with time :

dV/dt = d/dt(a^3)

dV/dt = 3a^2 * (da/dt)

Now, given that the side of the cube is 7.60 mm and the da/dt = -0.40( negative because the side decreases with passage of time)

dV/dt = 3(7.60)^2 * -0.4

dV/dt = -69.312

To nearest integer, that is :

dV/.dt = -69 mm^3 per minute ----> ANSWER

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