Concept:
Magnetization is defined as the magnetic moment per unit volume:
\[
M=\frac{m}{V},
\]
where
\[
M=\text{magnetization},
\qquad
m=\text{magnetic moment},
\qquad
V=\text{volume}.
\]
Step 1: Write the given data.
\[
M=2\,\text{A m}^{-1},
\]
\[
V=2\,\text{m}^3.
\]
Step 2: Calculate the magnetic moment.
From
\[
M=\frac{m}{V},
\]
we get
\[
m=MV.
\]
Substituting the values,
\[
m=(2)(2).
\]
\[
m=4\,\text{A m}^2.
\]
Step 3: Identify the correct option.
\[
\boxed{m=4\,\text{A m}^2}
\]
Therefore,
\[
\boxed{\text{Answer = (B)}}
\]