Answer:
The number of smaller cubes of each color in the large cube is;
[tex]16[/tex]Explanation:
Given that the larger cube is 4 cm on the side.
The Volume of the larger cube is;
[tex]\begin{gathered} V=l^3=4^3 \\ V=64cm^3 \end{gathered}[/tex]For the smaller cubes with side length 1 cm, its volume is;
[tex]v=1^{3^{}}=1cm^3[/tex]The total number of smaller cubes will be; is the volume of the larger cube divided by the volume of the smaller cube.
[tex]\begin{gathered} N=\frac{V}{v}=\frac{64}{1} \\ N=64 \end{gathered}[/tex]For each color, the number of cubes of each color will be;
[tex]\begin{gathered} n=\frac{N}{4}=\frac{64}{4} \\ n=16 \end{gathered}[/tex]Therefore, the number of smaller cubes of each color in the large cube is;
[tex]16[/tex]
