Question

volume of a cube is 64000m³ find the total surface area of the cube​

Answer 1

Given that volume of a cube is 64000m³.

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To Find Total Surface Area of given cube.

$\begin{gathered} \qquad {\rule{200pt}{2pt}} \end{gathered}$

${\Large \: {\underline{\underline{\gray{\sf{Solution}}}}}}$

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Formula Using

$\boxed {\begin{array}{ccc} \sf Volume\:of\:cube=a^3 \\ \\ \sf Total\:Surface\:Area\:of\:cube=6a^2 \end{array}}$

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${\Large{\bigstar \: {\underline{\sf{Calculation\: :-}}}}}$

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$\begin{gathered} {\rule{170pt}{2pt}} \end{gathered}$

Calculating Side of Cube

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${\dashrightarrow{\sf{\qquad Volume_{\:cube}=a^3}}}$

Putting Values...

${\dashrightarrow{\sf{\qquad 64000=a^3 }}}$

Simplifying Values...

${\dashrightarrow{\sf{\qquad a=\sqrt[3]{64000}}}}$

Solving root...

${\dashrightarrow{\sf{\qquad a=\sqrt[3]{40 \times 40 \times 40}}}}$

${\dashrightarrow{\sf{\qquad a=\sqrt[3]{40 \times 40 \times 40}}}}$

${\rightsquigarrow{\qquad {\underline{\boxed{\sf{side_{\:cube}\:is\:40 cm}}}}}}$

$\begin{gathered} \qquad {\rule{200pt}{2pt}} \end{gathered}$

Calculating Total Surface Area of cube

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${\dashrightarrow{\sf{\qquad Total\:Surface\:Area\:of\:cube=6a^2}}}$

Putting Values...

${\dashrightarrow{\sf{\qquad TSA=6 \times 4^2}}}$

Simplifying Values...

${\dashrightarrow{\sf{\qquad TSA=6 \times 16}}}$

Multiplying Values...

${\dashrightarrow{\sf{\qquad TSA=96}}}$

Getting the Answer...

${\rightsquigarrow{{\qquad {\underline{\boxed{\sf{Total\:Surface\:area\:of\:cube\:is\:96\:cm^2}}}}}}}$

$\begin{gathered} {\rule{170pt}{2pt}} \end{gathered}$

Therefore,Total surface area of given cube is ${\rm{96\:cm^2}}$.

$\begin{gathered} {\underline{\rule{200pt}{5pt}}} \end{gathered}$

Answer 2

9600m² is correct answer.

if the answer is correct then please mark as brainliest answer.

I hope this helps you.