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.
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