The surface area of a cube is proportional to its edge length. Why

The surface area of a cube is proportional to its edge length. Why


Let the surface area be s The edge length is d Then s = the square of 6D Obviously, s increases with the increase of D So it's proportional



The sum of the edge lengths of a cube is 24 decimeters, and its edge length (), surface area (), volume ()


Because there are 12 edges of a cube, and the total length of the edges is 24, each 2 decimeters, one face is 2 * 2 = 4 decimeters, all 6 faces of the cube are 4 * 6 = 24 square decimeters, and the volume is edge length * edge length * edge length, so 2 * 2 * 2 = 8 cubic decimeters
The sum of the edges of a cube is 24 decimeters, its edge length is 2 decimeters, its surface area is 24 square decimeters, and its volume is 8 cubic decimeters



A cube with a length of 1cm has a total length of () cm, a surface area of () cm and a volume of () cm


1 × 12 = 12 cm
1 × 1 × 6 = 6 square centimeter
1 × 1 × 1 = 1 cubic centimeter
The sum of its edges is (12) cm, its surface area is (6) cm, and its volume is (1) cm



The sum of the edges of a cube is in direct proportion to its edge length?


That's right
Because: the sum of edge length of cube / its edge length = 12 (certain)
Therefore, the sum of the edge lengths of a cube is in direct proportion to its edge lengths