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Re: A rectangular block 6 cm by 12 cm by 15 cm is cut up into an exact num [#permalink]
2
rainer85 wrote:
Why can't you use a cube with a volume of 1?


We are looking for the least number of cubes. That is why we are finding the HCF/GCF because that is the largest number each of the dimensions of the block can be divided by:

(6/3) x (12/3) x (15/3) = 2 x 4 x 5 = 40

If we chose to cut the block into cubes with a volume of 1, we'd have:

(6/1) x (12/1) x (15/1) = 1080

That's a lot of cubes and we are looking for the fewest amount of cubes.

Hope this helps clarify things.
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Re: A rectangular block 6 cm by 12 cm by 15 cm is cut up into an exact num [#permalink]
r1smith wrote:
rainer85 wrote:
Why can't you use a cube with a volume of 1?


We are looking for the least number of cubes. That is why we are finding the HCF/GCF because that is the largest number each of the dimensions of the block can be divided by:

(6/3) x (12/3) x (15/3) = 2 x 4 x 5 = 40

If we chose to cut the block into cubes with a volume of 1, we'd have:

(6/1) x (12/1) x (15/1) = 1080

That's a lot of cubes and we are looking for the fewest amount of cubes.

Hope this helps clarify things.


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