# 1 ) Show that the total surface area of a closed cuboid with square base and given volume , is minimum, when its cube
2)The lenghts of the sides of an isosceles triangle are 9+x^2,9+x^2 and 18-2x^2 units, calculate the area of the triangle in terms of x and find the value of x which makes the area maximum.
3) The sum of the perimeter of a circle and a square is K, where K is some constant. Prove that the sum of their areas is least when the side of the square is double the radius of circle?

### Asked by Adeeb Khan | 19th Jul, 2014, 06:10: PM

Expert Answer:

### Answered by Prasenjit Paul | 21st Jul, 2014, 11:22: AM

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