Question

The surface area of each face of a cube is (x

Answer 1

Answer:

length of each edge = (x + 3)

Step-by-step explanation:

The surface area of each face of the cube = ($x^{2}$ + 6x + 9) $m^{2}$. But the surface of a cube has the shape of a square. So that,

Area of a square = length x length

                            = $l^{2}$

By factorizing the area,

$x^{2}$ + 6x + 9 = $x^{2}$ + 3x + 3x + 9

                  = ($x^{2}$ + 3x) (3x + 9)

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

                  = (x + 3)(x + 3)

                  = $(x + 3)^{2}$

$x^{2}$ + 6x + 9 = $(x + 3)^{2}$

Thus,

$(x + 3)^{2}$ = $l^{2}$

find the square root of both sides

l = (x + 3)

length of each edge = (x + 3)