Question

the surface area of a cube is 486 cm2.its edge is ?

Answer 1

Answer :

The length of its edge is 9 cm.

Step-by-step explanation :

Total surface area of cube = 6 ( side )²

∴ 6 ( side )² = 486

⇒ ( side )² = 486 / 6

⇒ ( side )² = 81

⇒ side = √ 81

⇒ side = 9 cm

Hence, the length of the cube is 9 cm.

Answer 2

Given:

Surface area of cube is $486 cm^2$.

To Find:

Edge of the cube?

Step-by-step explanation:

• A cube is a three-dimensional representation of a square which can be solid or hollow, contained by six equal squares and length breadth and height is same.

• The surface area of a cube is equal to the total area of the outside surfaces of the cube Which is given by $A=6a^2$, where a is the edge.
• From the given data surface area of the cube is $486 cm^2$.

        Put values in the formula.

        $A=6a^2$

        $486=6a^2$

       $a^2=\frac{486}{6} =81cm$

       $a=9 cm$

So, Edge of the cube has a surface area  $486 cm^2$ is 9 cm.