The volume of the cube is 64 cm3. Find the area of the square ABCD-face of the cube.

Let us determine how many centimeters the length of the edge of the indicated cube is (denoting it by x), knowing that the cube is a special case of a rectangular parallelepiped and that the volume of this cube is 64 cm3:

x * x * x = 64;

x ^ 3 = 64;

x = 4.

Let us determine how many square centimeters the area of the square, which is the face of the indicated cube, is equal to, knowing that the area of a square is by definition equal to the square of the length of its side:

4 ^ 2 = 16.

Answer: The area of the square is 16 cm2.