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A cube has a side of length 1.2xx10^(-2)...

A cube has a side of length `1.2xx10^(-2)m`. What is its volume?

A

`1.7xx10^(-6)m^(3)`

B

`1.73xx10^(-6)m^(3)`

C

`1.70xx10^(-6)m^(3)`

D

`1.732xx10^(-6)m^(3)`

Text Solution

Verified by Experts

The correct Answer is:
a

`V=L^(3)=(1.2)^(3)xx(10^(-2))^(3)=1.728xx10^(-6)` but the length has two significant figures.
`therefore` The volume will also have two significant figures.
`therefore V=1.7xx10^(-6)m^(3)`
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