Volume = length x width x height
This formula can be used to find the number of cubes as well as the volume.
Number of Cubes: 36
3 x 4 x 3 = 12 x 3 = 36
Volume of One Cube: 1/64 cm^3
1/4 x 1/4 x 1/4 = 1/64
Volume of the Solid: 9/16 cm^3
Length = 1/4 + 1/4 + 1/4 = 3/4
Width = 1/4 + 1/4 + 1/4 + 1/4 = 1
Height = 1/4 + 1/4 + 1/4 = 3/4
3/4 x 1 x 3/4 = 9/16
Hope this helps!
