The diagonal of the square base = one side of the base × square root (2)
This is because the angle between 2 sides of a square is 90, and since the diagonal is the hypotenuse of a triangle formed by 1/2 of the square. So by the Pythagorean Theorem:
[tex] {diagonal}^{2} = {side }^{2} + {side}^{2} \\ {diagonal}^{2} = 2 \times {side }^{2} \\ \sqrt{({diagonal}^{2})} = \sqrt{(2 \times {side }^{2})} \\ diag. = \sqrt{2} \times \sqrt{{side}^{2}} = side \sqrt{2} [/tex]
therefore 230√2 = 230×1.41 = 325
So D) 320 is the closest to 325
