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Cubic inches in a square foot?

Updated: 12/23/2022
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14y ago

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The question is nonsensical:

Cubic inches are a measure of volume and have 3 dimensions (length, width, height)

Square feet are a measure of area and have 2 dimensions (length, width).

What you may have is a question regarding spreading a volume of something over an area and being asked to find out how deep the something would be once spread. The area may be given in square feet and the volume given in cubic inches or the depth required to be given in inches..

In questions like these convert all measurements to one or the other: that is for example, feet or inches:

1ft = 12 inches

1 sq ft = 1ft x 1ft = 12in x 12in = 144 sq in

1 cu ft = 1ft x 1 sq ft = 12in x 144 sq in = 1728 cu in.

For example, given an area of 108 sq ft for a patio how deep would 31104cu in of sand cover the area?

Either work in feet or inches:

In feet:

1cu ft = 1728 cu in

31104 cu in = 31104 / 1728 cu ft = 18 cu ft

18 cu ft / 108 sq ft = 1/6 ft ~= 0.167 ft

1 ft = 12 in, 1/6ft = 1/6 x 12in = 2in.

In inches:

1 sq ft = 144sq in

108 sq ft = 108 x 144 sq in = 15,552 sq in

31104 cu in / 15552 sq in = 2 in

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14y ago
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12y ago

(12 x 12 x 12) = 1,728

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