Question

Find The curved surface Area Total surface Area vertical surface Area and volume of a cube with side 6 cm​

Answer 1

Answer:

A=216

a Edge

6

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Answer 2

Step-by-step explanation:

Given: Side of the cube is 6cm.

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$\begin{gathered} \dag \: \frak{ Need \: to \: find} \begin{cases} \frak{ Total \: surface \: area} \\ \\ \frak {Lateral \: Surface \: area} \\ \\ \frak{ Volume}\end {cases}\end{gathered}$

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As we know that,

• Total surface area = $\sf 6 {s}^{2}$
• Lateral surface area = \sf 4 {s}^{2}4s
• Volume = $\sf {s}^{3}$

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$\begin{gathered}\begin{gathered}\bigstar\:{\underline{\sf{\pmb{According\:to\:the\:Question\::}}}}\\\\\end{gathered}\end{gathered}$

Now, We can calculate TSA , LSA & volume by using the formula's given above,

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$\begin{gathered}\begin{gathered}\bigstar\:{\underline{\sf{\pmb{Total\:surface\:area\::}}}}\\\\\end{gathered}\end{gathered}$

$\begin{gathered} : \implies \sf{6 \times {6}^{2} } \\ \\ \\ : \implies \sf{6 \times 36} \\ \\ \\ \begin{gathered} :\implies{\boxed{\underline{ \frak{ \purple{ 216 \: {cm}^{2}}}}}}\:\bigstar \\ \\\end{gathered} \end{gathered}$

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$\begin{gathered}\begin{gathered}\bigstar\:{\underline{\sf{\pmb{Lateral\:surface\:area\::}}}}\\\\\end{gathered}\end{gathered}$

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$\begin{gathered} : \implies \sf{4 \times {6}^{2} } \\ \\ \\ : \implies \sf{4 \times 36} \\ \\ \\ \begin{gathered} :\implies{\boxed{\underline{ \frak{ \purple{ 144 \: {cm}^{2}}}}}}\:\bigstar \\ \\\end{gathered} \end{gathered}$

$\begin{gathered}\begin{gathered}\bigstar\:{\underline{\sf{\pmb{Volume\::}}}}\\\\\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered} : \implies \sf{{6}^{3}} \\ \\ \\ :\implies{\boxed{\underline{ \frak{ \purple{ 216 \: {cm}^{3}}}}}}\:\bigstar \\ \\\end{gathered} \end{gathered}$

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${\therefore\:{\underline{\sf{Hence,\:TSA , LSA \: and \: Volume \: are\: {\pmb{\sf{216 \: {cm}^{2}}}}, \pmb{144 \: {cm}^{2}} {\sf{and \: }} \pmb{216 \: {cm}^{3}}}}}}$