To find the volume of a cube, you use the formula for the volume of a cube, which is:
[tex]\[ \text{Volume} = (\text{side length})^3 \][/tex]
In this particular problem, we are given that the side length of the cube is 4 cm. Plugging this value into the formula, we get:
[tex]\[ \text{Volume} = (4 \, \text{cm})^3 \][/tex]
Next, we'll calculate the value of [tex]\( 4^3 \)[/tex]:
[tex]\[ 4^3 = 4 \times 4 \times 4 \][/tex]
Multiplying these together, we get:
[tex]\[ 4 \times 4 = 16 \][/tex]
[tex]\[ 16 \times 4 = 64 \][/tex]
So, the volume of the cube is:
[tex]\[ 64 \, \text{cm}^3 \][/tex]
Therefore, the correct answer is:
D) [tex]\( 64 \, \text{cm}^3 \)[/tex]