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Show that the surface area of a close...

Show that the surface area of a closed cuboid with square base and given volume is minimum, when it is a cube.

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To show that the surface area of a closed cuboid with a square base and a given volume is minimized when it is a cube, we can follow these steps: ### Step 1: Define the Variables Let: - \( x \) = length of one side of the square base of the cuboid. - \( y \) = height of the cuboid. - The volume \( V \) of the cuboid is given by the formula: \[ ...
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RD SHARMA-MAXIMA AND MINIMA-Solved Examples And Exercises
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  10. A figure consists of a semi-circle with a rectangle on its diameter...

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  14. Show that a right-circular cylinder of given volume, open at the to...

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  15. Show that the height of a closed right circular cylinder of given s...

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  16. Show that a cylinder of a given volume which is open at the top has...

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  17. Show that the height of the cylinder of maximum volume that can be ...

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  18. Show that the semi-vertical angle of the cone of the maximum volume...

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  19. Show that semi-vertical angle of right circular cone of given surfa...

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  20. Prove that the volume of the largest cone that can be inscribed in ...

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