Asked by Dani
Previously asked:
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?
I was told: V = lwh
dV/dt = lw dh/dt + lh dw/dt + wh dl/dt
you are given all the values, just plug in and evaluate.
I got 265 as the answer. Is this correct?
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?
I was told: V = lwh
dV/dt = lw dh/dt + lh dw/dt + wh dl/dt
you are given all the values, just plug in and evaluate.
I got 265 as the answer. Is this correct?
Answers
Answered by
Steve
Just plug in the numbers you have, and you get
(20)(10)(5) + (20)(15)(3) + (10)(15)(8) = 3100
How did you come up with 265?
(20)(10)(5) + (20)(15)(3) + (10)(15)(8) = 3100
How did you come up with 265?
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