Question

The volume of a box in the shape of a cube is 2197 cm 3 . Find the area of one side of the box

Answer 1

HELLO DEAR,

GIVEN THAT:-

volume = 2197 m^3

let the side of the cube = a

therefore,

volume of the cube = a³

so,

2197 = a³

(13 * 13 * 13) = a³

taking cube root both side,

13 = a

therefore,

length of each side of the cube = 13 m

now, the area of cube is 6a²

= 6 * (13)²

= 6 * 169

= 1014m²

hence, the area of cube is 1014m².

I HOPE ITS HELP YOU DEAR,

THANKS

Answer 2

Let the side of the cube be x.

Volume = length × width × height

For a cube:

Length = width = height

Now volume = x × x × x = x³

This equals to 2197

Therefore :

X³ = 2197

X = ∛2197

= 13

The side of the cube = 13cm

Area = length × width

Length = width = 13cm

Area = 13 × 13 = 169

= 169 cm²