TJ Prep Problems

TJ test prep practice problems  for our students and readers. The problems provide a very small sampling of what Optimal TJ Prep students work with.

TJ Prep - A Difficult Word Problem. Target Time 90 -120 seconds.

From a square cardboard, four congruent smaller squares are cut out one from each corner; the side of the smaller square is 1/4 the side of the original cardboard square. After the cut squares are removed, the remaining intact piece is folded to make an open rectangular box. If the magnitude of the area of the original cardboard square is equal to the magnitude of the volume of the rectangular box, what is area of the original rectangular box?