A closed box is in the shape of a rectangular solid with dimensions x, y, and z. Suppose each dimension is changing at the rate c 0.5 in/min. Find the rate of change of the total surface area of the box, in in2/min, when x = 1 in, y = 5 in, and z = 4 in. in?/min

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...
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A closed box is in the shape of a rectangular solid with dimensions x, y, and z. Suppose each dimension is changing at the rate of
0.5 in/min. Find the rate of change of the total surface area of the box, in in2/min, when x = 1 in, y = 5 in, and z = 4 in.
in?/min
Transcribed Image Text:A closed box is in the shape of a rectangular solid with dimensions x, y, and z. Suppose each dimension is changing at the rate of 0.5 in/min. Find the rate of change of the total surface area of the box, in in2/min, when x = 1 in, y = 5 in, and z = 4 in. in?/min
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