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Answer :
The volume of a 2x2x2 prism is 8 cubic units. By dividing the larger prism's volume by the unit cube's volume (8/1), it takes 8 unit cubes to fill it completely.
When discussing how many unit cubes are needed to fill a larger prism, you can consider the concept of volume. The volume of a cube or prism is given by the product of its length, width, and height.
For the unit cube (1x1x1), each dimension is 1. Therefore, the volume of one unit cube is 1 cubic unit.
Now, for a 2x2x2 prism, the volume is calculated as [tex]\(2 \times 2 \times 2 = 8\)[/tex] cubic units.
To determine how many unit cubes fit into the larger prism, you divide the volume of the larger prism by the volume of the unit cube:
[tex]\[ \frac{{\text{Volume of larger prism}}}{{\text{Volume of unit cube}}} = \frac{8}{1} = 8 \][/tex]
So, it takes 8 unit cubes to fill a 2x2x2 prism. Each unit cube occupies one cubic unit of space within the larger prism.
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