Suppose an open box with a rectangular base is to be constructed from a rectangular piece of cardboard 12 inches wide and 24 inches long by cutting congruent squares from each corner and then bending up the sides. What is the maximum possible volume of the box, in cubic inches

Prove the converse of the pythagorean theorem using similar triangles. the converse of the pythagorean theorem states that when the sum of the squares of the lengths of the legs of the triangle equals the squares length of the hypotenuse, the triangle is a right triangle. be sure to create and name the appropriate geometric figures.