Question

B) 75 acres to square meters (m2)c) 4637 nm3 to in3d) 71.63 g/cm3 to mg/dm3

Answer 1

b) 75 acres to square meter

Consider that 1 acre = 4046.86m^2:

`75\text{acres}\cdot(4046.86m^2)/(1acre)=303514.5m^2`

c) 4637 nm^3 to in^3

First, consider that:

1 nm = 10^-9 m

1 m = 39.3701 in

then, you have:

`1nm\cdot(1m)/(10^9nm)\cdot(39.3701in)/(1m)=3.9\cdot10^(-8)in`

by powering to 3, you obtain:

`\begin{gathered} (1nm)^3=(3.9\cdot10^(-8)in)^3 \\ 1nm^3=6.1\cdot10^(-23)in^3 \end{gathered}`

Then, for the given quantity, you obtain:

`4637nm^3\cdot(6.1\cdot10^(-23)in^3)/(1nm^3)=2.8\cdot10^(-19)in^3`

c) 71.63 g/cm^3 to mg/dm^3

In this case, use two conversion factor for mass and volume in the same procedure, as follow: