Find the surface area and the sum of the lengths of the edges of a cube whose edge is 11 cm.

The cube consists of 6 square-shaped faces of equal area. Therefore, all its edges (there are 12) are equal to each other (length, width and height = a).

a) Calculation of the sum of the lengths of the edges of the cube.

Given: a = 11 cm.

Find: the sum of the lengths of the edges of the cube.

Decision:

Since this cube has 12 edges, each of which is 11 cm, their sum can be found as the product of the number of edges by the length of the edge:

1) 12 * 11 = 132 (cm).

Answer: 132 cm.

b) First, we calculate the area of ​​one face of the cube, that is, S of a square with a side of 11 cm (S = a * a):

1) 11 * 11 = 121 (cm ^ 2) – the area of ​​1 face of the cube.

Remembering that the cube has 6 faces with an area of ​​121 cm ^ 2:

2) 6 * 121 = 726 (cm ^ 2) – cube surface area.

Answer: 726 cm ^ 2.