Hello, TheJacksonater!

We are given: .A rectangular prism`s length is increasing by 12 m/min,

its height increasing by 2 m/min and its width increasing by 4 m/min.

How fast is the volume changing when the dimensions are:

length = 200 m, width = 50 m, height = 30 m.

We know that: .

Differentiate with respect to time: .

Therefore: .