Wind Shelter

The canvas wind shelter is to be built for use in South Padre Island?

beaches. It is to have a back, two square sides and a lid. If 486 meters Fabric squares are available, finding the length of the dwelling for which the interior space is maximized by assuming all the canvas is used.

dimensions called X, X, Y and Z from the square sides 486 = 2x ^ 2 + 2xz ===> z = (243-x ^ 2) / x ===> z = (243 / x) - x Volume Maximize setting = 0 V = x ^ 2 V '* z ===> Plug in z V = x ^ 2 (243 / x - x) V = 243X - x ^ 3 V' = 3x ^ 2 +243 = 0 x ^ 2 = 81 x = 9 ( which is the side of the square) z is the length z = (243 / x) - x = 243 / 9 - 9 = 27-9 = 18 18 feet:)

Wind Shelter

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