The surface area of each face of a cube is (x 2 + 6x + 9) m2

Find an expression for the,
i. length of each edge

length of each edge = (x + 3)

Step-by-step explanation:

The surface area of each face of the cube = ( + 6x + 9) . But the surface of a cube has the shape of a square. So that,

Area of a square = length x length

                            =

By factorizing the area,

+ 6x + 9 = + 3x + 3x + 9

                  = ( + 3x) (3x + 9)

                  = x(x +3) + 3(x + 3)

                  = (x + 3)(x + 3)

                  =

+ 6x + 9 =

Thus,

=

find the square root of both sides

l = (x + 3)

length of each edge = (x + 3)

answer: 2x + 2 − 2 = 10 − 2; subtraction property of equality

step-by-step explanation: