There is an ample supply of identical blocks (as shown). Each block is constructed from four 1 × 1 × 1 unit-cubes glued whole-face to whole-face. What is the greatest number of such blocks that can be packed into a box that is 6 units tall, 7 units wide, and 8 units deep without exceeding the height of the box?

There is an ample supply of identical blocks as shown Each block is constructed from four 1 1 1 unitcubes glued wholeface to wholeface What is the greatest numb class=