Question

An aquarium is in the form of a cuboid whose external measures are 80cm × 30 cm × 40 cm . The bottom, side faces and back face are to be covered with a colour paper . Find the area of the Paper needed ?​

Answer 1

$\large\underline{ \underline{ \sf \maltese{ \: Question:- }}}$

• An aquarium is in the form of a cuboid whose external measures are 80cm × 30 cm × 40 cm . The bottom, side faces and back face are to be covered with a colour paper . Find the area of the Paper needed ?

$\large\underline{ \underline{ \sf \maltese{ \: Given:- }}}$

• Length of the Aquarium = $\sf\green{ 80cm}$
• Height of the Aquarium = $\sf\green{ 40cm}$
• Width of the Aquarium = $\sf\green{ 30cm}$

━━━━━━━━━━━━━━━━━━━━━━━━━

$\large\underline{ \underline{ \sf \maltese{ \: Solution:- }}}$

$\begin{gathered}\begin{gathered}\begin{gathered}: \implies \underline\blue{ \boxed{\displaystyle \sf \bold\orange{\: Area \: of \: the \: Front \: Face }} }\\ \\\end{gathered}\end{gathered}\end{gathered}$

$\qquad \quad {:} \longrightarrow \sf{\sf{80 \: \times \: 40 \: {cm}^{2} }}$

$\qquad\quad {:} \longrightarrow \underline \red{\boxed{\sf{Area \: of \: Front \: Face \: = \: 3200 {cm}^{2} }}}$

━━━━━━━━━━━━━━━━━━━━━━━━━

$\begin{gathered}\begin{gathered}\begin{gathered}: \implies \underline\blue{ \boxed{\displaystyle \sf \bold\orange{\: Area \: of \: the \: Top \: Face }} }\\ \\\end{gathered}\end{gathered}\end{gathered}$

$\qquad \quad {:} \longrightarrow \sf{\sf{80 \: \times \: 30 \: {cm}^{2} }}$

$\qquad\quad {:} \longrightarrow \underline \red{\boxed{\sf{Area \: of \: Front \: Face \: = \: 2400 {cm}^{2} }}}$

━━━━━━━━━━━━━━━━━━━━━━━━━

$\begin{gathered}\begin{gathered}\begin{gathered}: \implies \underline\blue{ \boxed{\displaystyle \sf \bold\orange{\: T.S.A \: of \: Aquarium \: = \: 2( \: lb \: + \: bh \: + \: lh \: ) }} }\\ \\\end{gathered}\end{gathered}\end{gathered}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ 2( \: 80 \times 30 \: + \: 30 \times 40 \: + \: 80 \times 40 \: ) }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ 2( \: 2400\: + \: 1200 \: + \: 3200 \: ) }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ 2\: \times \: 6800 }}$

$\qquad\quad {:} \longrightarrow \underline \red{\boxed{\sf{ T.S.A \: of \: Aquarium \: = \:13600 {cm}^{2} }}}$

━━━━━━━━━━━━━━━━━━━━━━━━━

Area of the colour paper required =

⠀⠀Total Surface Area - ( Area of front face+ Area of top face )

$\quad {:} \longrightarrow \sf{\sf{13600 \: - \: (3200 \: + \: 2400 \: ) \: {cm}^{2} }}$

$\quad {:} \longrightarrow \sf{\sf{13600 \: - \: 5600 \: {cm}^{2} }}$

$\qquad\quad {:} \longrightarrow \underline \red{\boxed{\sf{ Area \: of \: Paper \: Req. = \:8000 {cm}^{2} }}}$

━━━━━━━━━━━━━━━━━━━━━━━━━

$\begin{gathered}\begin{gathered}\qquad \therefore\: \sf{ Area \: of \: Colour \: paper \: Req. \: = \underline {\underline{8000 {cm}^{2} }}}\\\end{gathered}\end{gathered}$

━━━━━━━━━━━━━━━━━━━━━━━━━

More For Knowledge :-

$\underbrace\red{\boxed{ \sf \blue{ Formulas\: related\: to \:SA\: and \: \: Volume : }}}$

$\begin{array}{|c|c|c|}\cline{1-3}\bf Shape&\bf Volume\ formula&\bf Surface\ area formula\\\cline{1-3}\sf Cube&\tt l^3}&\tt 6l^2\\\cline{1-3}\sf Cuboid&\tt lbh&\tt 2(lb+bh+lh)\\\cline{1-3}\sf Cylinder&\tt {\pi}r^2h&\tt 2\pi{r}(r+h)\\\cline{1-3}\sf Hollow\ cylinder&\tt \pi{h}(R^2-r^2)&\tt 2\pi{rh}+2\pi{Rh}+2\pi(R^2-r^2)\\\cline{1-3}\sf Cone&\tt 1/3\ \pi{r^2}h&\tt \pi{r}(r+s)\\\cline{1-3}\sf Sphere&\tt 4/3\ \pi{r}^3&\tt 4\pi{r}^2\\\cline{1-3}\sf Hemisphere&\tt 2/3\ \pi{r^3}&\tt 3\pi{r}^2\\\cline{1-3}\end{array}$

━━━━━━━━━━━━━━━━━━━━━━━━━

Answer 2

Step-by-step explanation:

what is the most important thing in in your life