Final answer:
The volume of Cube A with a side length of 4 cm is 64 cm³, and Cube B, with sides twice as long, has a volume of 512 cm³, which is eight times greater than Cube A's volume.
Step-by-step explanation:
Finding Volumes of Cubes A and B
To find the volume of Cube A with a side length of 4 cm, we use the formula for the volume of a cube, which is V = s³, where s is the length of a side of the cube. Substituting the given value, we have V = 4 cm × 4 cm × 4 cm = 64 cm³. This is the volume of Cube A.
For Cube B, which has sides twice as long as Cube A's sides, the side length is 4 cm × 2 = 8 cm. Then, the volume of Cube B is calculated similarly: V = 8 cm × 8 cm × 8 cm = 512 cm³. This is the volume of Cube B, which is indeed eight times larger than the volume of Cube A, following the cube of the scale factor (2³ = 8).