Question

Find LSA, TSA and Volume of cube side is 12m *​

Answer 1

Answer:

Side of the cube is 12m.

1) Lateral surface area= 4(side)^2= 4×12^2=4×144=576m^2.

2)Total surface area= 6(side)^2= 6×12^2=6×144=864m^2.

3) Volume=(side)^3=12^3=1728m^3.

hope this will help you.

Answer 2

$\star \; {\underline{\boxed{\pmb{\green{\frak{ \; Given \; :- }}}}}}$

• Side = 12m

$\begin{gathered} \\ \\\end{gathered}\star \;{\underline{\boxed{\pmb{\pink{\frak{ \; To \; Find \; :- }}}}}}$

• Total Surface Area = ?

• Curved Surface Area = ?

• Volume of Cube = ?

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

$\star \;{\underline{\boxed{\pmb{\red{\frak{ \; SolutioN \; :- }}}}}}$

$\maltese$ Formula Used :

• ${\underline{\boxed{\pmb{\sf{L .S.A_{(Cube)}=4(Side)^2 }}}}}$

• ${\underline{\boxed{\pmb{\sf{T.S.A =6(Side)^2 }}}}}$

• ${\underline{\boxed{\pmb{\sf{Volume_{(Cube)}=(Side)^3 }}}}}$

Where :

• T.S.A = Total Surface Area

• L.S.A = Land Surface Area

$\begin{gathered} \\ \\ \end{gathered}$

$\maltese$Calculating the Land Surface  Area :

$\begin{gathered} \begin{gathered}\qquad \; \longrightarrow \; \; \sf { Land \: Surface \: Area_{(Cube)}=4(Side)^2} \\\\ \\ \end{gathered} \end{gathered}$

$\begin{gathered} \begin{gathered}\qquad \; \longrightarrow \; \; \sf { Land \: Surface \: Area_{(Cube)}=4(12)^2} \\ \\ \\ \end{gathered} \end{gathered}$

$\begin{gathered} \begin{gathered}\qquad \; \longrightarrow \; \; \sf { Land \: Surface \: Area_{(Cube)}=4 \times 12 \times 12} \\ \\ \\ \end{gathered} \end{gathered}$

$\begin{gathered} \begin{gathered}\qquad \; \longrightarrow \; \; \sf { Land \: Surface \: Area_{(Cube)}=48 \times 12} \\ \\ \\ \end{gathered} \end{gathered}$

$\begin{gathered} \begin{gathered} \qquad \; \longrightarrow \; \; {\underline{\boxed{\pmb{\sf{ Land \: Surface \: Area_{(Cube)} = 576 {cm}^{2} }}}}} \; {\red{\pmb{\bigstar}}} \\ \\ \\ \end{gathered} \end{gathered}$

$\maltese$ Calculating the Total Surface Area :

$\begin{gathered} \begin{gathered} \qquad \; \longrightarrow \; \; \sf { T.S.A =6(Side)^2 } \\ \\ \\\end{gathered}\end{gathered}$

$\begin{gathered} \begin{gathered} \qquad \; \longrightarrow \; \; \sf { T.S.A =6(12)^2 } \\ \\ \\ \end{gathered}\end{gathered}$

$\begin{gathered} \begin{gathered} \qquad \; \longrightarrow \; \;\sf{ T.S.A =6 \times 12\times 12 } \\ \\ \\ \end{gathered}\end{gathered}$

$\begin{gathered} \begin{gathered} \qquad \; \longrightarrow \; \;\sf{ T.S.A =72\times 12 } \\ \\ \\ \end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered} \qquad \; \longrightarrow \; \; {\underline{\boxed{\pmb{\sf{Total \: Surface \: Area =864cm^2 }}}}} \; {\red{\pmb{\bigstar}}} \\ \\ \\ \end{gathered}\end{gathered}$

$\maltese$Calculating The Volume :

$\begin{gathered} \begin{gathered} \qquad \; \dashrightarrow \; \; \sf {Volume_{(Cube)}=(Side)^3 } \\ \\ \\ \end{gathered} \end{gathered}$

$\begin{gathered} \begin{gathered} \qquad \; \dashrightarrow\; \; \sf {Volume_{(Cube)}=(12)^3 } \\ \\ \\ \end{gathered}\end{gathered}$

$\begin{gathered} \begin{gathered} \qquad \; \dashrightarrow \; \;\sf{Volume_{(Cube)}=(12)^3 } \\ \\ \\ \end{gathered}\end{gathered}$

$\begin{gathered} \begin{gathered} \qquad \; \dashrightarrow \; \; \sf {Volume_{(Cube)}=12 \times 12 \times 12 } \\ \\ \\ \end{gathered} \end{gathered}$

$\begin{gathered} \begin{gathered} \qquad \; \dashrightarrow\; \; \sf {Volume_{(Cube)}=144 \times 12 } \\ \\ \\ \end{gathered} \end{gathered}$

$\begin{gathered} \begin{gathered}\qquad \; \dashrightarrow\; \; {\underline{\boxed{\pmb{\sf{ Volume_{(Cube)}=1728m {}^{2} }}}}} \; {\red{\pmb{\bigstar}}} \\ \\ \\ \end{gathered} \end{gathered}$

$\therefore$ Volume of Cube is 1728m^2 .

${ \qquad{ \rule{5000pt}{2pt}}}$