Answer:
cm per minute.
Step-by-step explanation:
We have been given that a box has a width of 10 cm and a length of 17 cm. The volume of the box is decreasing at a rate of 527 cubic cm per minute, with the width and length being held constant.
We know that volume of a cuboid is length times width times height.
Upon substituting our given width and length, we will get:
Now, we will find derivative of volume with respect to time as:
Since the volume of the box is decreasing at a rate of 527 cubic cm per minute, so we will substitute as:
Therefore, the rate of change in height is cm per minute.