1. A kind of metal is cut into a square cube with each side equals `1.0 cm`, the mass of this cube is `41.0\ g`, what is the density of this material?
1. A kind of metal is cut into a square cube with each side equals 1.0 cm, the mass of this cube is 41.0\ g, what is the density of this material?
Hint
`ρ=m/V`
Answer
`ρ=4.1 times 10^4 \ kg//m^3`
Show Steps
Given: side : `l = 1.0\ cm = 1.0 times 10^(-2) \ m` mass: `m = 41.0 g = 4.10 times 10^(-2) \kg` Equation: `ρ=m/V` Solution: `V = l^3 = (1.0 times 10^(-2)\ m)^3 = 1.0 times 10^(-6) \ m^3` `ρ=m/V` `ρ=(4.10 times 10^(-2) \kg)/(1.0 times 10^(-6) \ m^3)`
`ρ=4.1 times 10^4 \ kg//m^3`