Squares, Cubes, Square Roots, and Cube Roots

A square number is an integer that is the square of an integer. For example, 1, 4, 9, 16, and 25 are square numbers because they can be expressed as 1^2, 2^2, 3^2, 4^2, and 5^2 respectively.

A cube number is an integer that is the cube of an integer. For example, 1, 8, 27, and 64 are cube numbers because they can be expressed as 1^3, 2^3, 3^3, and 4^3 respectively.

The square root of a number x is a value y such that y^2 = x. For example, the square root of 16 is 4, since 4^2 = 16.

The cube root of a number x is a value y such that y^3 = x. For example, the cube root of 27 is 3, since 3^3 = 27.

The length of one side is 4 units, since the volume V of a cube is given by V = s^3, thus 64 = s^3, and s = 4.

The perfect squares are 9, 81, and 100.

The area A of a square is given by the formula A = s^2, where s is the length of a side.

The volume V of a cube is given by the formula V = s^3, where s is the length of a side.