Solution:
The volume of triangular prism is given as:
[tex]v = base\ area \times height[/tex]
Given that,
A triangular prism container is full of water of 428 cubic cm
The water is 10 cm deep
Therefore,
v = 428 cubic cm
h = 10 cm
Substituting the values we get,
[tex]428 = base\ area \times 10\\\\base\ area = \frac{428}{10}\\\\base\ area = 42.8\ cm^2[/tex]
Thus the base area of triangular prism container is 42.8 cubic centimeter