Question

th volume of a cube is 0.0
64 m^2 . Find its surface .​

Answer 1

$\;\underbrace{\underline{\sf{Correct\:Question:}}}$

• The volume of a cube is 0.064 m^2 . Find its surface area.??

$\;\underbrace{\underline{\sf{Required\: Answer:}}}$

$\bf\underline{Given :}$

• Volume of the cube = $\bf\pink{0.064 \:m^3 }$

$\bf\underline{To\: Find :}$

• Surface area.

$\bf\underline{Solution :}$

We know that

• $\underline{ \boxed{ \sf\orange{Volume \: of \: Cube = {a}^{ 3} }}}$
• $\bf{Here, a\: =\: Edge}$

Substituting the given values

• $\begin{gathered} \implies{ \sf {a}^{3} =0.064 } \\ \\ \end{gathered}$

• $\begin{gathered} \implies{ \sf {a = \sqrt[3]{0.064} }} \\ \\ \end{gathered}$

• $\begin{gathered} \implies{ \sf {a = \sqrt[3]{0.4 \times 0.4 \times 0.4} }} \\ \\ \end{gathered}$

• $\begin{gathered} \implies{ \sf {a = \sqrt[3]{0.4^3 } }} \\ \\ \end{gathered}$

• $\implies{ \underline {\boxed{\tt {a = 0.4 \: m}}}}$

Therefore, Edge is 0.4 m.

We also know that

• $\underline{ \boxed{ \sf\purple{Surface \: area\:of \: Cube = {6a}^{ 2} }}}$

• Here , a = Edge .

$\begin{gathered} \implies{ \sf{Surface \: area = 6 \times ( 0.4)^2}} \\ \\\end{gathered}$

$\begin{gathered}\implies{ \sf{Surface \: area = 6 \times 0.4 \times 0.4}} \\ \\ \end{gathered}$

$\begin{gathered}\implies{ \sf{Surface \: area = 6 \times 0.16}} \\ \\ \end{gathered}$

$\implies{ \underline{\boxed{ \bf{Surface \: area = 0.96 \: m^2}} }}$

Hence, Surface area of Cube is 0.96 m².

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