Answer:
The volume of the cube is;
[tex]8\dfrac{3}{4} \ cube \, units[/tex]
Step-by-step explanation:
The parameters of the prism are;
The number of cubes used to fill the prism, n = 70 cubes
The side length of each cube, s = 1/2 unit
The volume of the cube, V = n × s³
∴ Therefore, the volume of the cube, V = 70 × (1/2)³ = [tex]8\dfrac{3}{4} \ cube \, units[/tex] = 8.75 cube unit