Maximizing Flooring Area: Cost-Effective Solutions

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ok I am replacing my old post.

I need t maximize the surface area, and minimize the cost, the flooring is 1.4 times as much money as the walls it needs to fit people.

the volume i have is 2.2m^3

i need help
 
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You are replacing your old post? Why did you not like the responses you were given in the old post? Also you have left out much of the information you gave in your old post. Do you expect to get better responses with less information?
 
Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...

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