Find the volume of a cube, the area of one face which is 16 cm2.

Given:
Cube;
S faces = 16 cm²;
V cube =?
Decision:
A rectangular parallelepiped, all of whose faces are squares, is called a cube. All edges of a cube are equal. It follows that the area of a cube face is equal to the area of a square.
S face = a²,
where a is the edge of the cube;
16 = a²;
a = √16;
a = 4 (see);
The volume (V) of a cube is expressed by the formula:
V = a³,
where a is the edge of the cube.
V = 3³ = 27 (cm³);
Answer: 27 cm³