Question

How many boxes with a Length/Width/Height of 1/4, 1/4, and another 1/4 would fit into a box with a Length/Width/Height of 3 1/4, 3, and 3 3/4?

Answer 1

9514 1404 393

Answer:

  2340 small boxes

Step-by-step 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.