Respuesta :

Answer:

24 cm²

easy way to find surface area of a cube.

use the formula: 6a²

[tex]\hookrightarrow 6(2)^2[/tex]

[tex]\hookrightarrow 6(4)[/tex]

[tex]\hookrightarrow24[/tex]

Solution:

We know that:

[tex]\space\ Surface \space\ area \space\ of \space\ cube=\s Area \space\ of \space\ it's \space\ faces[/tex]

This means that:

[tex]\space\ Surface \space\ area = [(2)(2)] + [(2)(2)] + [(2)(2)] + [(2)(2)] + [(2)(2)] + [(2)(2)][/tex]

Simplify the expression to find the surface area.

Simplifying the expression:

[tex][(2)(2)] + [(2)(2)] + [(2)(2)] + [(2)(2)] + [(2)(2)] + [(2)(2)] \\\\\ [4] + [4] + [4] + [4] + [4] + [4]\\\\ 4[6] \\\\ 24 \space\ cm^{2}[/tex]

Hence, the surface area is 24 cm².