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1 answer:
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Answer:
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)