math
posted by susan .
side of the cube increasing at rate of 6 cm/s. find the rate of increase of the volume when the length of a side is 9 cm.[ans 1458cm^3/s]
my answer:
~729x6=4374cm^3/s
i need some1 show me the calculation if im wrong.

math 
Damon
V = x^3
dV/dx = 3 x^2
so
dV/dt = 3 x^2 dx/dt
dV/dt = 3 * 81 * 6 = 1458 cm^3/s
Respond to this Question
Similar Questions

algebra
the cube root of the volume of a cube gives the length of one side of the cube. volume=343cm cubed a. find the side length of the cube shown b. find the area of each face of the cube i have no idea how to do this! 
math
The edge of a cube is increasing at a rate of .05 cm/s. In terms of the side of the cube, s, what is the rate of change of the volume of the cube? 
math133
) Solve algebraically and check your potential solutions: sqrtx+2+0 Answer: Show your work here: 3) The volume of a cube is given by V = s3, where s is the length of a side. Find the length of a side of a cube if the volume is 800 … 
Algebra 1
The cube root of the volume of a cube gives the length of one side of the cube . Volume:343 cm^3. A:Find the side length of the cube shown . B:Find the area of each face of the cube. 
calculus
the edge of a cube is increasing at the rate of .05 centimeters per second. in terms of the side of the cube s, what is the rate of change of the volume of the cube, in cm^3/sec 
math
a cube is expanding and its volume is increasing at the rate 96 cubic centimetres/second when the side is 4 cm.Find the rate at which the: a.side is increasing when the side is 4 cm b.surface area is increasing when the side is 4cm … 
Calculus
An ice cube is melting such that the side of the cube is decreasing at the rate of 1/4 t^2 cm / min. It is given that the side of the cube is 8cm at the start of the experiment. Calculate the length of the side of the cube when t = … 
math
The side length of a rectangular box with a square base is increasing at the rate of 2 ft/sec, while the height is decreasing at the rate of 2 ft/sec. At what rate is the volume of the box changing when the side length is 10 ft and … 
Math
each side of a cube is increasing at the rate of 9 cm/s.When the length of each side is 5 cm , find the rate of increase of its volume and total surface area. 
Math
Each side of a cube is increasing at the rate of 9cm/s . When the lenght of each side is 5 cm , find the rate of inscrease of its volume and total surface area .