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).
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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.