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saul85 [17]
4 years ago
8

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

Mathematics
2 answers:
Lera25 [3.4K]4 years ago
8 0

Answer:

<h2>864 cm²</h2>

Step-by-step explanation:

The formula of a volume of a cube:

V=s^3

<em>s</em> - <em>edge</em>

We have

V=1728\ cm^3

Substitute:

s^3=1728\to s=\sqrt[3]{1728}\\\\s=12\ cm[/texbecause[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

nevsk [136]4 years ago
6 0

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.

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