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Question
A piece of brass of volume 30 cm3 has a mass of 252 g. Find the density of brass in (i) g cm-3, (ii) kg m-3.
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Solution
Given , Mass M = 252 g
Volume V = 30 `"cm" ^3`
(i) Density d = `"M"/"V"` = `252/(30 "cm"^3)`
= 8.4 g `"cm" ^-3`
(ii) since , M = 252 g = 0.252 kg
v = 30 `"cm"^3` = 30 × `10 ^-6 "m"^3`
Density d = `(0.252 "kg" )/(30 × 10^-6 "m"^3)`
= `(0.252 kg )/(30× 1/1000000 m^3)`
=`(0.252 × 1000000 "kg" )/ (30 "m"^3)`
= `25200/ 3 "kg m"^-3`
= 8400 kg `"m"^-3`
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