Polyethylene Sheet

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Chemistry help please?

a. 310 000 cm3 of concrete in cubic meters
b. 6.5 m2 of steel sheet in square centimeters
c. 0.035 m3 of chlorine gas in cubic centimeters
d. 0.49 cm2 of copper in square millimeters
e. 1200 dm3 of acetic acid solution in cubic meters
f. 87.5 mm3 of actinium in cubic centimeters
g. 250 000 cm2 of polyethylene sheet in square meters

2. How many palisade cells from plant leaves would fit in a volume of 1.0 cm3 of cells if the average volume of a palisade cell is 0.0147 mm3? ans: 68 027 cells

I need to show my work so please explain
thanks

You need to work out the conversion factor. You can memorise them, but I have shown below how to actually work them out.

a.
1 cm = 0.01 m
So 1 cm x 1 cm x 1 cm (which is 1cm3) = 0.01 m x 0.01 m x 0.01 m
So 1 cm3 = 0.000001 m3

So to convert cm3 to m3 multiply bt 0.000001 m3/cm3
= 0.000001 m3/cm3 x 310000 cm3
= 0.31 m3

b.
1 m = 100 cm
1 m x 1 m (which is 1 m2) = 100 cm x 100 cm
1m2 = 10000 cm2

so to convert m2 to cm2 multiply by 10000 cm2/m2
6.5 m2 x 10000 cm2/m2
= 65000 cm2

c.
1 m = 100 cm
1m x 1m x 1m = 100cm x 100cm x 100cm
1m3 = 1000000 cm3

So to convert m3 to cm3 multiply by 1000000 cm3/m3
0.035 m3 x 1000000 cm3/m3
= 35000 cm3

d.
1 cm = 10 mm
1cm x 1 cm = 10 mm x 10 mm
1 cm2 = 100 mm2

e.
1 dm = 0.1 m
1 dm x 1 dm x 1 dm (which is 1 dm3) = 0.1 m x 0.1 m x 0.1 m
1 dm3 = 0.001 dm3

f.
1 mm = 0.1 cm

g.
1 cm = 0.01 m

2.
1 cm = 10 mm
1 cm3 = 1000 mm3

volume of 1 cell = 0.0147 mm3
So cells that fit in 1000 mm3
= 1000 mm3 / 0.0147 mm3
= 68027 cells

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