The volume of the cube is 27 m3. Find the area of its edges.

A cube is a geometric figure in which all sides are equal. The cube has six faces that intersect at right angles and are equal to each other due to the equality of its sides. The volume of a cube is the product of its length, width and height, and these sides are also equal to each other, let’s designate side a. Therefore, the volume of the cube in the form of a formula will be written as follows.

V = a ^ 3.

Since the volume is known by the problem statement, we substitute the volume value in the formula.

27 = a ^ 3.

From both sides of the equation we extract the cube root and determine the numerical value of the side of the cube. The number 27 is the full cube root of the number 3.

a = 3 m.

If you know the side of a cube, then you can easily find the area of ​​its face.

S = a ^ 2.

Substitute the value a into the last formula to determine the area of ​​a cube face.

S = 3 ^ 2 = 9 sq m.

Answer. 9 sq m.