Suppose the edges of a cube are increasing at a constant rate of 8 m/hr. Then, the volume of the cube is increasing at a rate of m2/hr when the edge lengths are 5 m, and the surface area of the cube is increasing at a rate of m2/hr when the edge lengths are 5 m.

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
Section9.1: Prisms, Area And Volume
Problem 34E: The numerical value of the volume of a cube equals the numerical value of its total surface area....
Question
Suppose the edges of a cube are increasing at a constant rate of 8 m/hr. Then, the volume of the cube is increasing at a rate of
m2/hr when the edge
lengths are 5 m, and the surface area of the cube is increasing at a rate of
m2/hr when the edge lengths are 5 m.
Transcribed Image Text:Suppose the edges of a cube are increasing at a constant rate of 8 m/hr. Then, the volume of the cube is increasing at a rate of m2/hr when the edge lengths are 5 m, and the surface area of the cube is increasing at a rate of m2/hr when the edge lengths are 5 m.
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