A rectangular prism has a width of 16 inches and a length of 10 inches. The volume of the rectangular prism is decreasing at a rate of 555 cubic inches per minute, with the width and length being held constant. What is the rate of change, in inches per minute, of the height when the height is 3 inches?

-3.47 inches per minute

Step-by-step explanation:

Let the height be 'h' for any time 't'.

Given:

Length of the prism (L) = 10 in

Width of the prism (w) = 16 in

The rate of change of volume of prism is, (The negative sign implies the volume decreases with time.)

Now, rate of change of height of prism =

Length and width remains constant.

Now, we know that, volume of a rectangular prism is given as:

Volume = Length × width × Height

Now, differentiating both sides with respect to time 't', we get:

Plug in the given values and solve for . This gives,

The negative sign implies the height decreases with time.

Therefore, the the rate of change, in inches per minute, of the height when the height is 3 inches is -3.47 inches per minute.

2.56 is the width of the garden

step-by-step explanation:

it will cost dollar $540

the living room is 3 which means if we divide 325/3 then we get $108

therefore if 1part of the living room cost $108 and 3 costed $325

then total 5part of the room will cost 5*108 which gives $540