cubes within cubes

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SleepyHead
Posts: 484
Joined: Thu Oct 18, 2012 10:41 am

cubes within cubes

Post by SleepyHead »

Small cubes measuring 2 x 2 x 2 cm are put into a larger box measuring 5 x 9 x 6
(6 is the height of the box, so the base is actually 5 x 9) as per the picture on the paper.

a) what is the largest number of small cubes which could fit into the bottom layer of the box,

so DD said that it was essentially an area question, so worked out 45cm2 / 4 cm2 so 11 can fit into the bottom layer.

but then when we drew it out, it seems to be 8 (lining up 4 along the length of 9 cm) and then another row next to that one.

Any ideas - :oops:

Thanks
Sleepyhead
Guest55
Posts: 16254
Joined: Mon Feb 12, 2007 2:21 pm

Re: cubes within cubes

Post by Guest55 »

Yes - this is designed to catch out people that just divide areas/volumes!

You need to look at how many fit along each side as your method did.
SleepyHead
Posts: 484
Joined: Thu Oct 18, 2012 10:41 am

Re: cubes within cubes

Post by SleepyHead »

thank you
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