Differentiation - Connected Rates of Change

Differentiation - Connected Rates of Change

The total surface area of a square base prism with a fixed length of \(8\) cm is decreasing at the rate of \(10\) cm\(^2\)/s. Find the rate of change of the volume when the side of the square is \(6\) cm.

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Answer:\(-17\frac{1}{7}\text{ c}{{\text{m}}^{3}}\text{/s}\)

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