Question

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Answer 1

I got the volume of the box is decreasing at a rate of 144 cm3/min

Answer 2

will u medal

Answer 3

\(V = x^2 h\)
\(\dot V = 2 x \dot x h + x^2 \dot h\)
\(= 2(12)(2)6 + (12)^2 1 = \dots\)

Answer 4

what I solved that and got 432

Answer 5

I dont think thats the right answer though because that's not an answer choice

Answer 6

Would the answer happen to be -144? Checking if I did the math right... if so, ill walk you through it

Answer 7

yeah thats what i got so I said decreasing at a rate of 144 cm^3/min

Answer 8

That's the only way I see it, since it looks like a related rates problem with a product rule derivative

Answer 9

thank you!!

Answer 10

it's -144 if \(\dot x = \color{red}{-}2\) but that's not what the original question as it was posted stated.