maths question about volume

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can anyone explain why both values are written with the same cm^3? 10cm^3(cubed) is obviously 10cm * 10cm * 10cm, but why is the answer written as (1000cm^3) surely if i was to look at 1000cm^3, how do i know that its derived from 10cm cubed and not that it's 1000cm * 1000cm * 1000cm?

i know you can write 1cm^3 as 1 ml or 10cm^3 = 1000ml but why is it okay to use cm^3 or am i missing something
 
so in getting this right, 10cm^3 is equal to what?

for example:

140cm * 50cm * 30cm = 210000(cm^3)?

what would i use in the brackets

so you're saying it should be 10^3cm = 1000cm^3 ?
 
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sorry i didnt mean to write what you both quoted, i just got a little confused, is this correct? 10^3cm = 1000cm^3

i was under the impresion that to explain a 10cmx10cmx10cm box you would write 10cm^3
 
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