Volume of a Cube 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 7 in. long and increasing at the rate of 0.2 in./s. How fast is the volume of the cube changing (in cu in/s) at that instant of time?

Therefore the volume of cube is change at the 29.4 cube in./s at that instant time.

Explanation:

Formula

Cube :

The volume of a cube is =

The side of length is x in.

Then volume of the cube is (V) =

∴ V =

Differentiate with respect to t

....(1)

Given that the side of the cube is increasing at the rate of 0.2 in/s.

i.e  in/s.

And the sides of the cube are 7 in i.e x= 7 in

Putting  and  x= 7 in equation (1)

 cube in./s

       =29.4 cube in./s

Therefore the volume of cube is change at the 29.4 cube in./s at that instant time.

a charge 3q is at the origin, and a charge −2q is on the positive x axis at x=a. part a where on the x-axis would you place a third charge so it would experience no net electric force? enter an expression for the exact answer, which will involve a square-root sign. (do not enter an approximate decimal answer.)

total distance travelled = 60 miles

total time taken =1.5 hours

average speed = total distance / total time

60 / 1.5

= 40

therefore, average speed = 40 m/h

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