Asked by Dani
the length of a rectangular prism is increasing at a rate of 8 cm/s, its width is increasing at a rate of 3 cm/s, and its height is increasing at a rate of 5 cm/s. when the length is 20 cm, width is 10 cm, and height is 15 cm, how fast is the volume of the rectangular prism increasing?
Answers
Answered by
Reiny
V = lwh
dV/dt = lw dh/dt + lh dw/dt + wh dl/dt
you are given all the values, just plug in and evaluate
dV/dt = lw dh/dt + lh dw/dt + wh dl/dt
you are given all the values, just plug in and evaluate
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