Question

The length of a room is 10 m in width 5 m and height is 5 m. The cost of installing 75 wide paper on the walls of the room is Rs. 10. What will be the total cost if per meter? (a) Rs. 1000 (b) Rs 2000 (c) Rs 3000 (d) Rs. 3500​

Answer 1

$\huge \fbox{Answer}$

$\large {\underline{\frak{ \color{lime}Given:}}}$

$\mapsto \sf{Length \: of \: room=10m}$

$\mapsto \sf{Breadth \: of \: room=5m}$

$\mapsto \sf{Height \: of \: room=5m}$

${\mapsto \sf{Cost \: of \: installing \: paper \: sheet \: on \: wall \: on \: 1 {m}^{2} =₹10}}$

$\large {\underline{\frak{ \color{plum}To \: find:}}}$

${\leadsto\sf{Cost \: of \: installing \: paper \: sheet \: on \: wall.}}$

$\large {\underline{\frak{ \color{cyan}Formula \: required::}}}$

${\boxed {\rm{Lateral \: surface \: area \: of \: room=2(length + breadth) \times height }}}$

$\large {\underline{\frak{ \color{cyn}According \: to \: Question:}}}$

${:: \implies{\sf{Lateral \: surface \: area \: of \: room=2(length + breadth) \times height }}}$

${:: \implies{\sf{Lateral \: surface \: area \: of \: room=2(10m + 5m) \times 5m }}}$

${:: \implies{\sf{Lateral \: surface \: area \: of \: room=2 \times 10m \times 5m }}}$

${:: \implies{\sf{Lateral \: surface \: area \: of \: room=100 {m}^{2} }}}$

${:: \implies\sf{Cost \: of \: installing \: paper \: sheet \: on \: wall \: on \: 1 {m}^{2} =₹10}}$

${:: \implies\sf{Cost \: of \: installing \: paper \: sheet \: on \: wall \: on \: 100 {m}^{2} =₹10 \times 100}}$

${:: \implies\sf{Cost \: of \: installing \: paper \: sheet \: on \: wall \: on \: 100 {m}^{2} =₹1000}}$

$\bf{Hence,Option\:(A)\:is\: correct.}$

${\boxed {\rm{ {{Cost \: of \: installing \: paper \: sheet \: on \: wall \: on \: 100 {m}^{2} =₹1000}} }}}$

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Answer 2

\huge \fbox{Answer}

Answer

\large {\underline{\frak{ \color{lime}Given:}}}

Given:

\mapsto \sf{Length \: of \: room=10m}↦Lengthofroom=10m

\mapsto \sf{Breadth \: of \: room=5m}↦Breadthofroom=5m

\mapsto \sf{Height \: of \: room=5m}↦Heightofroom=5m

{\mapsto \sf{Cost \: of \: installing \: paper \: sheet \: on \: wall \: on \: 1 {m}^{2} =₹10}}↦Costofinstallingpapersheetonwallon1m

2

=₹10

\large {\underline{\frak{ \color{plum}To \: find:}}}

Tofind:

{\leadsto\sf{Cost \: of \: installing \: paper \: sheet \: on \: wall.}}⇝Costofinstallingpapersheetonwall.

\large {\underline{\frak{ \color{cyan}Formula \: required::}}}

Formularequired::

{\boxed {\rm{Lateral \: surface \: area \: of \: room=2(length + breadth) \times height }}}

Lateralsurfaceareaofroom=2(length+breadth)×height

\large {\underline{\frak{ \color{cyn}According \: to \: Question:}}}

AccordingtoQuestion:

{:: \implies{\sf{Lateral \: surface \: area \: of \: room=2(length + breadth) \times height }}}::⟹Lateralsurfaceareaofroom=2(length+breadth)×height

{:: \implies{\sf{Lateral \: surface \: area \: of \: room=2(10m + 5m) \times 5m }}}::⟹Lateralsurfaceareaofroom=2(10m+5m)×5m

{:: \implies{\sf{Lateral \: surface \: area \: of \: room=2 \times 10m \times 5m }}}::⟹Lateralsurfaceareaofroom=2×10m×5m

{:: \implies{\sf{Lateral \: surface \: area \: of \: room=100 {m}^{2} }}}::⟹Lateralsurfaceareaofroom=100m

2

{:: \implies\sf{Cost \: of \: installing \: paper \: sheet \: on \: wall \: on \: 1 {m}^{2} =₹10}}::⟹Costofinstallingpapersheetonwallon1m

2

=₹10

{:: \implies\sf{Cost \: of \: installing \: paper \: sheet \: on \: wall \: on \: 100 {m}^{2} =₹10 \times 100}}::⟹Costofinstallingpapersheetonwallon100m

2

=₹10×100

{:: \implies\sf{Cost \: of \: installing \: paper \: sheet \: on \: wall \: on \: 100 {m}^{2} =₹1000}}::⟹Costofinstallingpapersheetonwallon100m

2

=₹1000

\bf{Hence,Option\:(A)\:is\: correct.}Hence,Option(A)iscorrect.

{\boxed {\rm{ {{Cost \: of \: installing \: paper \: sheet \: on \: wall \: on \: 100 {m}^{2} =₹1000}} }}}

Costofinstallingpapersheetonwallon100m

2

=₹1000