9514 1404 393
Answer:
2340 small boxes
Explanation:
Each unit of measure used for the large box will contain 4 of the smaller boxes. So, in terms of small boxes, the dimensions of the larger box are ...
(3 1/4)/(1/4) = (13/4)/(1/4) = 13 . . . length
3/(1/4) = (12/4)/(1/4) = 12 . . . . . . . width
(3 3/4)/(1/4) = (15/4)/(1/4) = 15 . . . height
Then the number of small boxes that would fit is ...
length × width × height = 13×12×15 = 2340
2340 cubes of size 1/4 will fit into the larger box.