First, we will calculate the volume of the prism as follows:
The prism is right rectangular prism, therefore:
V = l*w*h where
V is the volume we need to calculate
l is the length = 1(1/3) units
w is width = 5/6 units
h is height = 2/3 units
Therefore,
Volume of prism = 1(1/3) * (5/6) * (2/3) = 20/27 cubic units
Then, we will get the volume of each cube as follows:
V = l^3 where:
V is the volume we need to calculate
l is the length of side = 1/6 units
Therefore,
Volume of cube = (1/6)^3 = 1/216 cubic units
Finally, to get the number of cubes, we will simply divide the volume of the prism by the volume of the cube as follows:
number of cubes = (20/27) / (1/216) = 160 cubes
