Share

## 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

Question

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?

in progress
0

Physics
3 years
2021-09-03T01:36:12+00:00
2021-09-03T01:36:12+00:00 1 Answers
21 views
0
## Answers ( )

Answer:Therefore the volume of cube is change at the 29.4 cube in./s at that instant time.Explanation:FormulaCube :The

volumeof 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.