Stepping Stones
Four stepping stones one ft square were placed in a row, in a section of garden, with equal spaces on all four sides of each.
What can be the smallest dimension of the section?
What can be the smallest dimension of the section?
Labels: bcreative, mathemagic
posted by Rajesh Lal at
3:39 PM
13 Comments:
One sqare foot. all stone on top of one another
we have length = 1ft
we have width = 1ft
but whats the depth?..
assume the depth is 3in if you placed them on their side, next to each other (in a row) you would have 12in^3 (12 inch cubed)
the smallest dimension could be 1ft^3/12in^3 (length, width and height).
My guess. it's 2.30am can't sleep, brain half functioning...
who can do better =]
~Cassieadams01~
My final answer is...
1' X 4'
4 * (1 sq ft) + 23 * (A sq ft)
A = area of equal areas
I suppose A -> 0
= = = = = = = = =
= + = + = + = + =
= = = = = = = = =
+ are 1 sq ft squares
= are equal spaces on all sides
Best I can come up with
The smallest section of the garden would be one sqare foot with all the stones on top of each other. As in the first post.
4ft by 1 ft the stone have been stated to be in a row
If the first one was placed on a corner and the other three balanced on top of it, the area of the garden would be almost 0.
chuck norris
27ft..........................
putting the stones on the side of the depth would make the stepping stones pointless. but if you were to, that would be the best answer for the smallest dimension.
vv
it depends on their thickness, place them in a stack, turn stack on it's edge. If the thickness is one inch, and the "equal dimension" zero, the area would be 12 inches by 4 inches. But they would be hard to step upon.
its squared, not cubed.
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