Math, asked by Anamikarana, 1 year ago

Find the volume of a cubical box whose surface area is 486cm2

Answers

Answered by sansaha
6
6a2=486
a2=81
a=9
hence volume is a3=729 cm3


Answered by nilesh102
2

\textbf{\huge\underline{\underline\red{Solution} : -  }} \\  \\\textbf{\underline{\red{given} : -  }} \:  \:  \bold{surface \: area\: of \: cube \: is \:}  \\ \bold{ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  486  \: {cm}^{2} } \\  \\ \textbf{\underline{\red{to \: find} : - } } \: \bold{volume \: of \: cube.} \\  \\ \textbf{\underline{\red{formula} : -  }}  \:   \\  \\   \bold \purple{surface \: area \: of \: cube \:  = 6 {a}^{2} } \\  \\  \bold \purple{ \: volume \: of \: cube \:  =  {a}^{3} }  \\  \\  \bold\red{where \:  \:  \purple{a} \:  \: is \: edge \:of \: cube. } \\  \\  \bold{\underline \red{now}} \\  \\ =  >  \bold \purple{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} \\  \\ \bold{\underline \red{now}} \\  \\  =  > \bold \purple{ \: volume \: of \: cube \:  =  {a}^{3} } \\  \\  =  > \bold \purple{ \: volume \: of \: cube \:  =  {9}^{3} } \\  \\  =  > \bold \purple{ \: volume \: of \: cube \:  =  9 \times 9 \times 9 } \\  \\  =  > \bold \purple{ \: volume \: of \: cube \:  =  81 \times 9} \\  \\  =  > \bold \purple{ \: vomeu \: of \: cube \:  =  729 \:  {cm}^{3} } \\  \\  \fbox{\bold \red{ hence \: volume \: of \: cube\: box \: is \: 729 \: {cm}^{3} }} \\  \\ \underline{ \bold\blue{ \: i \: hope \: it \: helps \: you.}}

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