In an electrostatic field, the electric displacement density vector D is given by
\(\vec{D}(x, y,z)=(x^3 \hat{i}+y^3 \hat{j}+xy^2\hat{k})\) C/m2,
Where, \(\hat{i}, \hat{j},\ \hat{k}\) are the unit vectors along the x-axis, y-axis, and z-axis, respectively. Consider a cubical region 𝑅 centered at the origin with each side of length 1 m, and vertices at (± 0.5 m, ± 0.5 m, ± 0.5 m). The electric charge enclosed within 𝑅 is _________ C (rounded off to two decimal places).
Enter numerical value using the virtual keypad. Round off where necessary.