Answer:
1701
Step-by-step explanation:
To know this, we must calculate the volume of each one and then divide the volume of the prism by the volume of the cube, so we will know how many can enter.
The volume of the rectangular prism:
V = a * b * c
a = 6, b = 3 and c = 3 1/2 = 3.5
replacing
V = 6 * 3 * 3.5 = 63
which means the volume of the prism is 63 cubic inches
The cube volume:
v = a ^ 3
a = 1/3
replacing
v = (1/3) ^ 3
v = 0.037037
Which means that the volume of the cube is 0.037037 cubic inches
Now to know how many can enter it would be:
V / v = 63 / 0.037037 = 1701
Which means that up to 1701 cubes with 1/3 inch edges can fit
