That can vary a lot, depending on the thickness of the cardboard, as well as its consistency (it may be more or less densely packed).
1500 pounds
Taking 1 inch to be about 2.5cm, an inch of rain on an area of 1m2 is approximatley 0.025m3, or 25000cm3. That is 25000ml or 25l of water.
Per square what? (Metre? Foot?) You haven't fully asked the question. A "square", when referring to roofing and siding, is 100 square feet.
Assuming that it's not some shape that can be described by a formula, then here are 2 ways of finding the area:One way would be to copy the figure onto some graph paper, then count the squares that it covers. Partial squares could be estimated to the nearest 1/2 square, for example. Then use the scale that the graph paper was made to change squares to an actual area.Another way would be to draw it onto some cardboard, then cut out the figure and weigh the shape. If you know how much a known amount of cardboard weighs.For example, if a certain cardboard weighs 10 grams for a 10 cm by 10 cm (100 cm²) area. That is 0.1 gram/cm². Then you trace the shape onto the cardboard then cut it out, and weigh on a precision scale. If the shape weighs 3.6 grams (for example), then (3.6 gram)/(0.1 gram/cm²) = 36 cm²
12" x 12" x 1"= 144 cubic inches, which is equal to .623 gallons therefore a one thousand square foot roof receiving one inch of rain will catch 623 gallons.
One square inch
That would also depend on the thickness of that square inch!
14.7 pound per square inch
You need more information.5 inch cube? Sphere? 5" thick of unspecified dimensions?What is the density of the Styrofoam? What is the thickness and density of the cardboard? (weight per square inch?).If you are creating something new, and wish to find a weight per square foot, per example, then you can probably get the required information on the WWW, or from your vendor.
It would weigh about 14.3 pounds .
The square inch is a unit of area. The cubic inch is a unit of volume; a cubic inch of uranium has a mass of approx. 312,2 grams.
The weight of 1 square inch of soil can be any positive number. It simply depends on how high the 1 square inch column of soil is.
14.7 pounds per square inch
10 lbs per sf.
About 75 LBS when you weigh the bottom and cardboard incert together
Nothing since a square foot is 2 dimensional.
Use some standard of cardboard wt. per square ft, as a box has six sides, you have (length x width + length x height + width x height) x 2 x lb/ sq ft or if in metric kg/ sq m. Get net weight by subtracting cardboard wt from box wt. One standard cardboard box wt. in US is 0.13 kg/ sq m. This number will vary in US and, may be quite different in other countries.