A crate open at the top has vertical sides, a square bottom, and a volume of 864 cubic meters. Using the labels shown in the figure, write the surface area S as a function of x. S(x) = If the crate has the least possible surface area, find its dimensions. x = 12 meters y = 12 meters z = 6 meters S"(x) = 8 X (value for your solution for x)

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Chapter5: Inner Product Spaces
Section5.5: Applications Of Inner Product Spaces
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What is S(x) and S’’(x)
A crate open at the top has vertical sides, a square bottom, and a volume of 864 cubic meters. Using the labels shown in the figure, write the surface area S as a function of x.
S(x) =
If the crate has the least possible surface area, find its dimensions.
x = 12
meters
y = 12
meters
z = 6
meters
S"(x) = 8
X (value for your solution for x)
Transcribed Image Text:A crate open at the top has vertical sides, a square bottom, and a volume of 864 cubic meters. Using the labels shown in the figure, write the surface area S as a function of x. S(x) = If the crate has the least possible surface area, find its dimensions. x = 12 meters y = 12 meters z = 6 meters S"(x) = 8 X (value for your solution for x)
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