detailed solution

3. A rectangular prism with dimensions 6 m x 4 m x 8 m (f x w x h) is shrinking. I I I I I I I I I I I I I I ) Answer the following items independent of each other. (a) Assume that the length and width remains constant, while the height of the prism is changing. When the height is decreasing at a rate of 2 m per minute, how fast is the volume of the prism changing? (b) Now, assume that the length, width, and height are changing, but their ratio is maintained. When the height is decreasing at a rate of 2 m per minute, the volume is decreasing at a rate of 36 mg per minute. Find the height and the volume of the prism at this instant