# Find the volume of a cube with an edge of 4 whole 2/3 cm. Find the area of all faces of a cube with an edge of 4 whole 1/3 cm.

In a cube, all edges are equal (length is equal to width, equal to height). The volume of a cube is equal to the cube of its edge.

S = a ^ 3.

We know that the length of the edge is 4 2/3 cm.

Find the volume of the cube:

V = (4 2/3) ^ 3 = (14/3) ^ 3 = 2744/9 = 304 8/9 (cm3.).

Answer: the volume of the cube is 304 8/9 cm3.

The area of all the faces of a cube is the area of a cube. The area of a cube is equal to the square of the edge times 6:

S = 6 * a ^ 2.

By the condition of the problem, it is known that the edge of the cube is 4 1/3 cm.

Find the area of the cube:

S = 6 * (4 1/3) ^ 2 = 6 * (13/3) ^ 2 = 6 * 169/9 = 1014/9 = 112 6/9 = 112 2/3 (cm2.).

Answer: the area of a cube is 112 2/3 cm3. One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.