Find cube root of 1.331 + cube root of 0.027 + cube root of 0.008.

To solve the expression:

\[
\sqrt[3]{1.331} + \sqrt[3]{0.027} + \sqrt[3]{0.008}
\]

we need to calculate the cube roots of each term.

1. **Cube root of 1.331**:
First, we approximate \(\sqrt[3]{1.331}\).
We know that \(1^3 = 1\) and \(1.4^3 = 2.744\), so the cube root of 1.331 is between 1 and 1.4. Using a calculator, we find:
\[
\sqrt[3]{1.331} \approx 1.1
\]

2. **Cube root of 0.027**:
We know that \(0.3^3 = 0.027\), so:
\[
\sqrt[3]{0.027} = 0.3
\]

3. **Cube root of 0.008**:
We know that \(0.2^3 = 0.008\), so:
\[
\sqrt[3]{0.008} = 0.2
\]

Now, add these values together:

\[
1.1 + 0.3 + 0.2 = 1.6
\]

So, the value of the expression is:

\[
\boxed{1.6}
\]