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Answer: 2.5x boxed mix with fit in the sheet pan
Maths:
volume of round pan = 22/7 [pi] x 10 [radius] x 10 [radius] x 7 [height] = 2200 cc
volume of sheet = 9 x 13 x 3 = 351 cubic inches
calculation:
Changing Metric to Imperial ... round pan 2200cc = 134.25 cubic inches ... the cake mix fits in this
sheet pan ... 351/134.25 = 2.615 or approx 2 1/2 times required if using that cake mix
I worked this out a different way, but came up with pretty much the same answer. Hopefully, that is not by coincidence, but it's how I work it out when I want to make recipes in a different sized tin.
Your tin - 9 x 13 x 3 = total area of 351
Round tin for box mix - 20 x 7 = total area of 140
351 divided by 140 = 2.5 (near as damn it).
Hey, you know what Penny? I just had another way more simple idea. 580g is the same as 580ml. So if you have a measuring jug, measure out 580ml of water and pour it into your sheet tin. Is it enough? No. Measure out another 580ml and pour that in - you get the idea? When your sheet tin looks like it's got enough in it, then the amount of ml you have put in will be the amount of grammes of cake mix you want. No maths required except for keeping track of the amount of water you used. Not very scientific, but I reckon it might work...........
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