The volume v of a cube with sides of length x in. is changing with respect to time. at a certain instant of time, the sides of the cube are 4 in. long and increasing at the rate of 0.5 in./s. how fast is the volume of the cube changing (in cu in/s) at that instant of time?

24 in³ per sec.

Step-by-step explanation:

Since, the volume of a cube ,

Where,

x = side length,

Differentiating equation (1) w. r. t ( time ),

Here,

That is, volume of the cube is changing with the rate of 24 in³ per sec.

maya’s expression will generate the wrong sum because she violated the commutative property.

step-by-step explanation: