The volume of a cube is decreasing at a rate of 0.5 in3 {min. How fast is the surface area of the cube decreasing when the length of an edge is 0.6 inches

The surface area of the cube decreasing at a rate of 3.33 square inches/min.

Step-by-step explanation:

It is given that, the volume of a cube is decreasing at a rate of 0.5 cubic inches/min.

   ...(1)

We know that, volume of a cube is

Differentiate w.r.t. t.

   ...(2)

Surface area of the cube is

Differentiate w.r.t. t.

We need to find how fast is the surface area of the cube decreasing when the length of an edge is 0.6 inches.

Substitute a=0.6 in the above equation.

Therefore, the surface area of the cube decreasing at a rate of 3.33 square inches/min.

11

step-by-step explanation:

32.50-7.50=25

225/25=11

$5.41

step-by-step explanation:

$20 - $14.51 = $5.49.