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## rmalik2 2 years ago a METAL cube has a edge length of 11.4 mm and retriceof 667g. Calulate the density of metal...Please help I believe the answer is 148.cm^3....

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1. UnkleRhaukus

the Volume of cube is $V=s^3$ density is $\rho=\frac mV$

2. rmalik2

yes but I need help find volume...ive gotten 1481544mm^3 but needs to convert to cm^3

3. rmalik2

1481.544

4. UnkleRhaukus

to convert millimeters to centimeters $1[\text{cm}]=10[\text{mm}]$ so $1[\text{cm}]^3=(10[\text{mm}])^3=1000[\text{mm}]^3$

5. rmalik2

yes but I understand it I keep getten the answer wrong..can you please show me the procedure?

6. rmalik2

the answer is 4.51g/cm^3 right??

7. UnkleRhaukus

$\rho=\frac m{s^3}=\frac{667[\text g]}{{(11.4[\text{mm}])^3}}$$=\frac{667[\text g]}{1481.544[\text{mm}]^3}$$=\frac{667[\text g]}{1.481544[\text{cm}]^3}$$\approx 0.4502\tfrac{[\text g]}{[\text{cm}]^3}$

8. rmalik2

thanks

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