Answer:
x = 8 ft
h = 1/2 ft
Step-by-step explanation:
Let x be side of the base then area of the base is x²
Let h be the height of the tank
Tank volume is 32 ft³ and is 32 = x²*h then h = 32 /x²
Area of base + lateral area = total area (A)
A = x² + 4*x*h ⇒ A = x² + 4*x*(32/x²) A = x² + 128/x
A(x) = x² + 128/x (1)
Taking derivatives on both sides of the equation
A´(x) = 2x - 128/x² A´(x) = 0 2x - 128/x² = 0
(2x² -128) / x² = 0
2x² - 128 = 0
x² =√64
x = 8 ft
The result is minimum since replacing in equation (1) x = 8 we get
A(x) > 0
And
h = 32/x²
h = 1/2 ft
the answer is more than 1 i believe :) yw hope this helped
193.5m is the area because you have to isolate the different shapes in the overall figure, and find the area of those first, once you have found them all you need to add them together
I think the answer is either 3/49 or about 0.061
hope this helps.