Ask a New Question

Question

a rectangular room is 20 ft by 12 ft by 8 ft. If the length is decreasing by 4 inches per minute, the width is decreasing by 5 inches per minute and the height remains constant, how fast is the volume changing after 2 minutes?
14 years ago

Answers

Reiny
let the width be x
let the length be y
let the height be h

V= xyh
dV/dt = xy dh/dt + xh dy/dt + yh dx/dt

given x=20, y=12, h = 8
dx/dt = 5
dy/dt = -4
dh/dt = 0

Plug in those values into dV/dt
14 years ago

Related Questions

a rectangular room is 1nd 12m wide.a varanda is 2m long and 8m long andis all around it. find the co... A rectangular room containing 198 square feet is 7 feet longer than it is wide. How long of a piece... A rectangular room is 4.15 meters longer than it is wide, and its perimeter is 27.9 meters. Find... rectangular room is 3 3 times as long as it is wide, and its perimeter is 40 40 meters. Fi... I know that a rectangular room measures 2300 sq. ft, how long and how wide would the rectangle be? the room is rectangular and measures 9 feet on one side and 15 feet on the other. she needs 0.5 ounc... A rectangular room 8cm along by 5cm wide contains 120x120x120m of air. Calculate the height of the r... A rectangular room is 11 11 meters longer than twice the width, and its perimeter is 76 7... A rectangular hotel room has an area of 255 square feet and a perimeter of 64 feet. What are the dim...
Ask a New Question
Archives Contact Us Privacy Policy Terms of Use