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I don't understand cubic feet compared to cubic yards?

Apr 12, 2007 by homer742 | Posted in Mathematics

Here is a puzzle from my math text: How many cubic yards are there in a room measuring 21 feet wish by 18 feet wide by 9 feet high?
I have the answer from the text, but I don't commiserate with part of it. It explains 21ft X 18ft X 9ft = 3402 cubic ft
3402 Cubic feet divided by 27 cubic feet per cubic yard = 126 Cubic yards.
I indigence more explanation.
You folks are awesome. Thank you all very much.

value of a crate that is 1yard (3 feet on each side)

its volume is 1 cubic yard

but you could put 3*3 1 foot cubed boxes on the bottom and add another two layers

so 1 cubic yard holds 3*3*3 = 27 cubic feet

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