The surface area of a cube is increasing...

The surface area of a cube is increasing at the rate of 2 `cm^(2)//sec`. When its edge is 90 cm, the volume is increasing at the rate of

A

1620 `cm^(3)//sec`

B

810 `cm^(3)//sec`

C

405 `cm^(3)//sec`

D

45 `cm^(3)//sec`

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

The radius of an air bubble is increasing at the rate of 1/2cm//s . At what rate is the volume of the bubble increasing when the radius is 1 cm?

The radius of an air bubble is increasing at the rate of 1/2 cm / s. At what rate is the volume of the bubble increasing when the radius is 1 cm ?

The edge of a variable cube is increasing at the rate of 3 cm/s. How fast is the volume of the cube increasing when the edge is 10 cm long?

The radius of a circle is increasing at the rate of 2cm//s . Find the rate at which area of the circle is increasing when radius is 6 cm.

The volume of a cube is increasing at the rate of 8cm^3//S . How fast is the surface area increasing when the length of an edge is 12cm.

The volume of a cube is increasing at the rate of 5 cm^3 /s. How fast is the surface area increasing when the length of an edge is 5sm?