Find the sum of the areas of all the sides of a cube if the length of its edge is 2cm?

| January 12, 2021 | education

Find the sum of the areas of all the sides of a cube if the length of its edge is 2cm? The sum of the areas of all the faces of the cube is 150 cm2. What is the length of an edge of a cube?

1) A cube consists of 6 squares – each of which is called a face.
Accordingly, to find the sum of the areas of the sides of a cube, we need to find the area of one face (square) and multiply the resulting number by 6.
The area of the square is the square of the side, and the edge of the cube is the side of the square. Accordingly, we find the square of the edge of the cube and multiply by 6 and get the result:
6 * 2 * 2 = 24 cm ^ 2.
2) Inverse problem. To find the edge of a cube, you need to divide the sum of the areas of the sides of the cube by 6, and extract the root from the resulting number:
(150/6) ^ (1/2) = 25 ^ (1/2) = 5 cm.



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