The volume of a rectangular prism equals the product of its base area and height. Nihat wants to place tea boxes in the shape of a rectangular prism with dimensions 2 units, 3 units, and 4 units, which are on a shelf, into an empty cubic box in such a way that there is no space left on the bottom of the box and the boxes do not overlap. Nihat calculates that if he places these boxes with heights of 2 units, 8 boxes will remain on the shelf, and if he places them with heights of 3 units, 2 boxes will remain on the shelf. Accordingly, what is the total volume of the boxes initially on the shelf in cubic units? A) 360 B) 432 C) 480 D) 576 E) 600
The volume of a rectangular prism equals the product of its base area and height.
Nihat wants to place tea boxes in the shape of a rectangular prism with dimensions 2 units, 3 units, and 4 units, which are on a shelf, into an empty cubic box in such a way that there is no space left on the bottom of the box and the boxes do not overlap.
Nihat calculates that if he places these boxes with heights of 2 units, 8 boxes will remain on the shelf, and if he places them with heights of 3 units, 2 boxes will remain on the shelf.
Accordingly, what is the total volume of the boxes initially on the shelf in cubic units?
A) 360
B) 432
C) 480
D) 576
E) 600