Multiplication problem for chemistry dealing with significant figures?

Question

the problem is........polycarbonate plastic ha s a density of 1.2 grams/centimeters cubed. a photo frame is construsted from two .30cm sheets of polycarbonate. each sheet measures 28 cm by 22 cm. what is the mass of the photo frame?

for mulitplying significant figures i know you have to round the answer so it has no more significant figures than are in the measurement with the fewest significant figures. i also know that the answer to the problem is supposedly 440 grams but i do not understand how to get it.

Answer 1

0.30*28*22 is the volume in cm^3. Thus the mass is 2*0.30*28*22*1.2.
Notice the first "2" is exact (you may consider it with infinite many significant digits). All the others have 2-significant figures. Thus the result must only have 2-significant figures. "440" is very confusing, since the last digit "0" may be significant or may not be. It is better to be written as 4.4x10^2 (grams).

Answer 2

the respond basically has 2 sig digs because of the fact 80 3 kg has 2, and once you multiply you're taking the variety that has the smallest quantity of sig digs. The a hundred does not impression the respond because of the fact it extremely is basically a ingredient to alter the decimal of (Mass area/Mass total) and alter that right into a p.c.. wish it particularly is smart. If no longer you may ask lower back *edit* So i merely observed something of your question. My undesirable So 87.ninety 8% is extremely .8798 in decimal variety. then you definately might desire to be waiting to plug the numbers into the formula and function .8798=(Mass area/80 3) Then multiply the two factors by utilising 80 3 and you will possibly desire to get something around seventy 3. wish that helps greater