Using the volume of the cube, it is found that the fraction of the prism's volume will bring filled by the sand is of [tex]\frac{3}{5}[/tex].
The volume of a cube of edge length l is given by:
V = l³.
In this problem, there are two cubes, each with edge length of l = 5 cm, hence, the total volume is given by:
V = 2 x l³ = 2 x (5 cm)³ = 250 cm³.
150 cm³ will be filled with sand, hence the fraction is given by:
[tex]\frac{150}{250} = \frac{15}{25} = \frac{3}{5}[/tex]
More can be learned about the volume of a cube at https://brainly.com/question/13030328