Question

If the volume of a cubical box is 1728cm find its total surface area​

Answer 1

864 cm²

Explanation:

The formula of a volume of a cube:

`V=s^3`

s - edge

We have

`V=1728\ cm^3`

Substitute:

`s^3=1728\to s=\sqrt[3]{1728}\\\\s=12\ cm[/tex</p><p>because</p><p>[tex]12^3=1728`

The formula of a surface area of a cube:

`SA=6s^2`

(6 square faces of a cube)

Substitute:

`SA=6(12^2)=6(144)=864\ cm^2`

Answer 2

864 cm^2.

Explanation:

Each side of the box = the cube root of 1728

= 12.

AS there are 6 square sides on a cube the total surface area

= 6 * 12^2

= 6*144

= 864 cm^2.