Question 253845
2 feet by 1 foot by 1.5 feet = 24 inches by 12 inches by 18 inches.
volume of the carton is 24*12*18 = 5184 cubic inches.


each smaller box is 1 cubic inch (1*1*1).


24 cubes can fit along the 24 inch side.
18 cubes can fit along the 18 inch side.
assuming the height is 12 inches, then 12 cubes high.


on the bottom of the box, we have 18 rows of 24 cubes each.
that's 18*24 = 432 cubes on the first inch of height.
there are 11 more inches of height which makes 11 * 432 = 4752 cubes.
4752 + 432 = 5184 cubes in total.


the dimensions of the large carton were in feet.


you needed to convert them to inches.


there are 12*12*12 cubic inches in a cubic foot.


that equals 1728 cubic inches per cubic foot.


3 * 1728 = 5184 cubic inches which is the same as I calculated earlier.


each smaller box is 1x1x1 = 1 cubic inches indicating that 5184 of the smaller boxes should fit into the larger carton unless there's some dead space where a smaller cube won't fit.   There was none, so 5184 smaller boxes fit into the larger carton.