None.
"Cubic inch" is a unit of volume or capacity, as of a bottle or a box. It tells you how much water
the figure can hold.
"Square inch" is a unit of area or coverage, as of a sheet of paper or a rug. It tells you how much
the figure covers of the table-top or floor. No number of square inches can hold any water.
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A square foot does not contain cubic inches because it is a flat square; a cubic foot contains cubic inches in which case L x W x H gives you 1,728 cubic inches in a cubic foot. 12 x 12 x 12 = 1,728
Apples and oranges. Without knowing how thick the 450 sq. ft. area is or how thick you want it to be you can't convert to cubic yards. A cubic yard has 27 cubic feet. One square foot 3 inches thick would be 1/4 cubic feet. 4 sq. ft. 3 inches thick would be 1 cubic foot. 450 sq. ft. 3 inches thick is 112 1/2 cubic feet or just a bit over 4 cubic yards. 450 sq. ft. 4 inches thick is 150 cubic feet or 5 1/2 cubic yards.
A puddle that's 2 inches deep and covers an area of 10,000 square feet on the floorhas a volume of(10,000 sq-feet) x (144 sq-inches / sq-foot) x (2 inches) = 2,880,000 cubic inchesSince every 231 cubic inches is the same as one gallon, that number of cubic inchesis the same as 12,478.53 gallons. (rounded)
There is 144 sq inches in a square foot... how many sq inches in your brick?
1 foot = 12 inches 1 sq foot = 144 sq inch 3612 sq inches = 3612/144 sq feet