Question

Total surface area of a cubical box
is 486sq cm. Find its edge.​

Answer 1

Step-by-step explanation:

$\begin{gathered}\underline{\bold{\footnotesize{Given:}}} \\ \\Total\:surface\:area = 486{cm}^{2} \\ \\ \underline{\bold{\footnotesize{To\:Find:}}} \\ \\ Length\:of\:each\:side . \\ \\ Let\:the\:Side\:be\:S. \\ \\ \bold{We\:know\:that,}\\ \\ \boxed{\bold{Total\:Surface\:Area=6\times {side}^{2}}} \\ \\ \bold{According\:to\:the\:question,} \\ \\ Total\:surface\:area = 486{cm}^{2} \\ \\ \implies\bold{486{cm}^{2} = 6\times {s}^{2}} \\ \\ \implies\bold{\dfrac{486}{6}{cm}^{2} ={s}^{2}} \\ \\ \implies\bold{81{cm}^{2} = {s}^{2}} \\ \\\implies\bold{9cm = side} \\ \\ \boxed{\bold{Side =9cm}}\end{gathered}$

The length of each side is 9cm.