The length, width, and height of a room are measured to be 4.1 meters, 3.2 meters,...

The length, width, and height of a room are measured to be 4.1 meters, 3.2 meters, and 2.4 meters, respectively. Each measurement is subject to a 1% error. Find the volume of the room and it’s uncertainty in cubic meters. Assume that the percentage errors add. Express the answer with the appropriate number of significant digits.

Expert Solution

genius_generous answered 1 year ago

The length, width, and height of a box are measured as 5 ft, 4 ft, and...

The length, width, and height of a box are measured as 5 ft, 4 ft, and 8 ft, respectively, with an error in measurement of at most 0.3 ft in each. Use differentials to estimate the maximum error (in feet) in the calculated volume of the box.

The air-conditioned room which stands in a ventilated basement measuring length, width, height 6m x 3m...

The air-conditioned room which stands in a ventilated basement measuring length, width, height 6m x 3m x 3m. one of the two 3m walls faces west and has a double glass window measuring 1.5 m x 1.5 m, mounted on a wall without external shading. There is no heat gain through the wall other than the wall facing west. Calculate sensible heat, latent heat, and total heat in the room. How much cooling capacity is needed? Inside conditions: 25 Celsius...

Find the length and width of a rectangle whose perimeter is 21 meters and whose area...

Find the length and width of a rectangle whose perimeter is 21 meters and whose area is 20 square meters. Assign variables to the unknown(s)... Form a system of equations... Solve the system and state your answer in the context of the problem, show all steps clearly, be sure to check your answers:

The length ℓ, width w, and height h of a box change with time. At a...

The length ℓ, width w, and height h of a box change with time. At a certain instant the dimensions are ℓ = 4 m and w = h = 1 m, and ℓ and w are increasing at a rate of 8 m/s while h is decreasing at a rate of 2 m/s. At that instant find the rates at which the following quantities are changing. (a) The volume. (b) The surface area. (c) The length of a diagonal....

The length l, width w, and height h of a box change with time. At a...

The length l, width w, and height h of a box change with time. At a certain instant the dimensions are l = 2 m and w = h = 3 m, and l and w are increasing at a rate of 7 m/s while h is decreasing at a rate of 5 m/s. At that instant find the rates at which the following quantities are changing. (a) The volume. m3/s (b) The surface area. m2/s (c) The length of...

if you a square that is 3' 5" in width, length and height. How many five...

if you a square that is 3' 5" in width, length and height. How many five point stars (2" in size) filled with air will fit into the square? Please show all work.

Write a PHP program using HTML form. It will take Length, Width and Height of a...

Write a PHP program using HTML form. It will take Length, Width and Height of a box as input. When a button is pressed, it will calculate the Volume. If Volume is less than 25 then display the message “Small box”. If Volume is from 25 to 50, it will display the message “Medium box”. When the Volume is greater than 50, then display the message “Large box”.

A Tank with a dimension of length (L) x width (B) x height (H) of 4m...

A Tank with a dimension of length (L) x width (B) x height (H) of 4m x 2m x 2m is filled with 1m depth of water and with oil to the fullest. Density of oil ρm= 801 kg/m3. The tank is open. 1.Calculate and draw pressure distribution on tank wall 2.Calculate force on the length and width side of tank wall, also on the bottom of the tank Given: ρwater= 1000 kg/m3 , g = 9,81 m/sec2

A wire of length L has a rectangular cross-section with height H and width W. The...

A wire of length L has a rectangular cross-section with height H and width W. The wire has a hole all the way through it of area a. The wire is made of material with constant resistivity ρ1 . A battery with a known voltage is applied across the ends of the wire. a. Find the electric field inside the material and the current flowing through the wire. b. If the hole is totally filled with a material that has...

Design a rectangular milk carton box of width w, length ll, and height h which holds...

Design a rectangular milk carton box of width w, length ll, and height h which holds 540 cm^3 of milk. The sides of the box cost 1 cent/cm^2 and the top and bottom cost 3 cent/cm^2. Find the dimensions of the box that minimize the total cost of materials used.

Question