Question

the volume of a cube is 729cm³. fins the surface area. pls answer its urgent

Answer 1

Step-by-step explanation:

volume of cube=a³

729 cm³=a³

9=a

surface area of cube =6a²

=6×9×9

=486

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Answer 2

Given :

• Volume of cube is 729cm³.

To Find :

• Surface Area of Cube.

Solution :

Firstly we will find the length of the side of cube :

Using Formula :

$\longmapsto\tt\boxed{Volume\:of\:Cube={a}^{3}}$

Putting Values :

$\longmapsto\tt{729={a}^{3}}$

$\longmapsto\tt{^{3}\sqrt{729}=a}$

$\longmapsto\tt\bold{a=9cm}$

So , The length of the side of cube is 9cm..

Now ,

$\longmapsto\tt{Side\:of\:Cube=9cm}$

Using Formula :

$\longmapsto\tt\boxed{Surface\:Area\:of\:Cube=6{a}^{2}}$

Putting Values :

$\longmapsto\tt{6\times{{(9)}^{2}}}$

$\longmapsto\tt{6\times{81}}$

$\longmapsto\tt\bold{486{cm}^{2}}$

So , The Surface Area of Cube is 486cm²..

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• Surface Area of Cube = 6a² ( a = side)
• Volume of cube = a³
• Surface Area of Cuboid = 2(lb+bh+hl)
• Volume of Cuboid = l × b × h

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