Question

find the each edge of a cube whose total surface area is 486 cm2

Answer 1

edge of cube=?
total surface area of cube=486cm²
6a²=486
a²=486/6
a²=81
a=√81
a=9cm

the edge of cube=9cm


hope it helps you enough my friend Happy New year

Answer 2

$\textbf{\huge\underline{\underline\red{Solution} : - }} \\ \\\textbf{\underline{\red{given} : - }} \: \: \bold{total \: surface \: area\: of \: cube \: is \:} \\ \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 486 \: {cm}^{2} } \\ \\ \textbf{\underline{\red{to \: find} : - } } \: \bold{edge \: of \: cube.} \\ \\ \textbf{\underline{\red{formula} : - }} \: \\ \\ \bold \purple{total \: surface \: area\: of \: cube \: = 6 {a}^{2} } \\ \\ \bold\red{where \: \: \purple{a} \: \: is \: edge \:of \: cube. } \\ \\ \bold{\underline \red{now}} \\ \\ = > \bold \purple{ \: total \: surface \: area \: of \: cube \: = 6 {a}^{2} } \\ \\ = > \bold \purple{486= 6 {a}^{2} } \\ i.e\\ = > \bold \purple{6 {a}^{2} = 486} \\ \\ = > \bold \purple{ {a}^{2} = \frac{486}{6} } \\ \\ = > \bold \purple{{a}^{2} = 81}\\ \\ = > \bold \purple{{a} = \sqrt{81} }\\ \\ = > \bold \purple{{a} = \: 9 \:cm} \\ \\ \\ \\ \fbox{\bold \red{ hence \: edge\: of \: cube \: is \: 9 \: {cm}}}$