SOLUTION: To find the volume of a box, you can multiply its height, width and length. The measure of the volume of the box is 70. Find the possible dimensions. Thanks

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Question 214444: To find the volume of a box, you can multiply its height, width and length. The measure of the volume of the box is 70. Find the possible dimensions. Thanks
Found 2 solutions by solver91311, Earlsdon:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Given that there are an infinite number of ordered triples that would satisfy the conditions of this problem even once you had chosen a unit of measure (the volume is 70 what?), it would take a VERY long time to answer you.


John

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
V+=+L%2AW%2AH
V+=+70
So we are looking for three numbers whose product equals 70.
If we restrict the answers to integers only, this will narrow down the field considerably!
What are the factors of 70?
70:1, 2, 5, 7, 10, 14, 35, 70
Now pick combinations of three from this group of factors.
70+=+1%2A1%2A70
70+=+1%2A2%2A35
70+=+1%2A5%2A14
70+=+1%2A7%2A10
70+=+2%2A5%2A7
I think that's the lot.