At what rate is the diagonal of a cube increasing if its edges are increasing at a rate of 6.4 cm/s?

11.08 cm/s

Step-by-step explanation:

Here it is given that the edges of a cube are increasing at a rate of 6.4 cm/s . And we need to find out the rate at which the diagonals are increasing . If we assume each side of the cube to be x , then ;

Now we can find diagonal as ,

Here l = b = h = a ; so ,

Simplify,

Take out a from square root,

Now , we can find the rate of change of diagonal as ;

Take out the constant,

From equation (i),

Multiply ,

This is the required answer!

18a

step-by-step explanation:

simply because it is. it's the highest common factor