Question

find the volume of a cubical box whose surface area is 484cm²​

Answer 1

Answer:

V = 1331cm³

Step-by-step explanation:

Given,

CSA of the cubical box = 484cm²

To find,

Volume of the cubical box = ?

We know,

If the question said only surface area,then it is definitely curved surface area has to be found. So,

CSA of a cube = 4a²

Let's put the given value in the above formula.

484 = 4a²

a² = 484/4

a² = 121

a = √121

a = 11

So the side of the cubical box,a = 11cm

Now,we need to find the volume of the box.

We know,

Volume of a cube = a³(a = 11,see above)

So,

V = 11³

V = 11 x 11 x 11

V = 121 x 11

V = 1331cm³

HOPE IT HELPS