Question

The volume of a box in the shape of the cube is 2197 cm3. Find the area of one side of the box

Answer 1

Answer:

here,

volume= 2197 cm3

now,

volume= l^3

or, 2197 cm3= l^3

or, 3√2197 cm3 = 3√l^3

or l = 13 cm

AGAIN

area= l^2

       = 13^2

        = 169 cm^2

Step-by-step explanation:

Answer 2

Given :

• The volume of a box in the shape of the cube is 2197 cm³.

To find :

• The area of one side of the box =?

Formula Used :

• Volume of cube = side³
• Area of square = side²

Step-by-step explanation :

It is Given that,

The volume of a box in the shape of the cube is 2197 cm3.

As We know that,

Volume of cube = side³

Substituting the values in the above formula, we get,

side³ = 2197

side = ³√2197

side = ³√13 × 13 × 13

side = 13.

Therefore, We got the side of cube = 13 cm.

Now,

As We know that,

Area of square = side²

Substituting the values in the above formula, we get,

= (13)²

= 13 × 13

= 169.

Therefore, Area of one side of cube = 169 cm².