The area of one side of the cube is 16 cm2. Find the area of other faces? Find the volume of a cube?

In order to solve the problem, it is necessary to remember that all sides of a cube are equal to each other: height = width = length, from which it follows that the areas of other sides of the cube are equal to 16 cm2.

Let’s designate the sides of the cube for the unknown “a”.

The formula for the volume of a cube: V = a ^ 3;

The formula for the area of a cube: S = a ^ 2;

Let’s find what one side of the cube face is equal to:

16 = a ^ 2;

a = 4 cm;

Find the volume of the cube:

V = 43 = 64 cm3;

Answer: the area of the sides of the cube is 16 cm2, the volume of the cube is 64 cm3.



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