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The length l, width w, and height h of abox change with time. At a certain instant the dimensions arel = 5 m and w= h= 4 m, and l and w are increasing at a rate of 3 m/swhile h is decreasing at a rate of 6 m/s. At that instantfind therates atwhich the following quantities arechanging.

(a)The volume.
m3/s

(b)The surface area.
m2/s

(c)The length of a diagonal. (Round the answer to two decimalplaces.)
m/s

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Deanna Hettinger
Deanna HettingerLv2
18 Apr 2019

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