Question

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

Answer 1

Answer:

864 cm²

Step-by-step 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

because

[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

Answer:

864 cm^2.

Step-by-step 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.