SOLUTION: a tank is used to collect rain water.The form of the tank is a parallelepiped rectangle whose basement is a square whose side is x meters.its volume is 4 cubed meters
Find the alt
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Question 1101986: a tank is used to collect rain water.The form of the tank is a parallelepiped rectangle whose basement is a square whose side is x meters.its volume is 4 cubed meters
Find the altitude of the tank
Find the surface in terms of x
Find the dimensions of the tank if we want to use as less paint as possible
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
a tank is used to collect rain water.
The form of the tank is a parallelepiped rectangle whose base is a square whose side is x meters.
its volume is 4 cubic meters
:
Find the altitude of the tank
let h = the height of the tank
x*x*h = 4
x^2 * h = 4
h =
:
Find the surface in terms of x
Assuming the top is open
S.A. = x^2 + 4(xh)
replace h with
S.A. = x^2 + 4(x*)
cancel x
S.A. = x^2 + 4()
S.A. = x^2 +
Find the dimensions of the tank if we want to use as less paint as possible
Find the minimum surface area by plotting the equation. Y = surface area
y = x^2 +
minimum occurs when x = 2 meters, therefore the dimensions are 2 by 2 by 1 meters with a surface area of 12 (greenline)
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