Question

the perimeter of one face of a cube is 48cm,then its total surface area is ​

Answer 1

Step-by-step explanation:

$perimeter \: of \: cube \: = \ 4x(x = side \: of \: square \: face) \\ given \\ \: \: \: \: \: 4x = 48cm \\ \: \: \: \: \: x = \frac{48}{4} \\ \: \: \: \: \: x = 12 \\ surface \:area \: of \: cube = no.of \: sides \times {x}^{2} \\ \: \: \: \: \: \: = 6 \times {x}^{2} \\ \: \: \: \: \: \: = 6 \times ( {12}^{2} ) \\ \: \: \: \: \: \: = 864 {cm}^{2} .$