If an object has a volume of 10 $cm^3$ , what is its volume in mL?

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Answer 1 · 2016-09-22T17:42:14

$1*mL=1*cm^3$ . And thus $10*cm^3=10*mL$ .

Now $1*mL$ $=$ $1xx10^-3L$

But $1*cm^-3$ $=$ $1*(10^-2m)^3$ , because $"centi"=10^-2$

Thus $1*cm^-3$ $=$ $1*(10^-2m)^3$ $=$ $10^-6*m^3$ .

But $1*m^3$ $=$ $10^3L$ , and thus $10^-6*m^3$ $=$ $10^-6xx10^3L$ $=$ $10^-3L$ $=$ $1*mL$ as required.

If an object has a volume of 10cm^3cm^3, what is its volume in mL?