Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
the 10x12x16 rectangular box fits for 24 4x4x4 cubs.
Dimensions of the rectangular box are not all perfectly divisible by 4(cube Dimensions) so there must be an empty part in the box, since 10 is not divisible by 4.
==> Therefore we pretend that the box rectangle is 8x12x16, with a total area of 1536. ===>1536/64=24
assuming that the base of th recatngle = 12*16 = 192
the maximum one level cubes = 12 ie: (192/16)
hight = 10 ( 4*2+2) so it can take two levels of the cubes = 12*2 = 24
assuming base of rectangle = 16*10 = 160
the maximum one level cubes = 160/16 = 10
hight is 12 = 4*3 so it can take three levels of cubes with hight 4
maximum number of cubes = 30
my answer is 30
Here in second case we can not have more than 8 cubes in each row.
You can only 4 along the length i.e16 and 2 along the width that is 10.
Thus no will be 8. So max will be 24.
Please correct me if I am wrong.
Re: What is the maximum number of 4X4X4 cubes that can fit in a [#permalink]
29 Oct 2013, 01:39
Hello from the GMAT Club BumpBot!
Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.