The area of four walls of a room to be painted of sides 3cm, 5cm and 7cm is

a) 142cm2

b) 105cm2 c) 112 cm2

September 16, 2021

By Rose

2 thoughts on “The area of four walls of a room to be painted of sides 3cm, 5cm and 7cm is<br /><br />a) 142cm2<br /><br />b) 105cm2 c) 112 cm2<b”

1. Answer :

   • Area of four walls of a room to be painted is 112cm²
   • (c) Option

   Given :

   • The area of four walls of a room to be painted of sides 3cm , 5cm and 7cm

   To find :

   • Area of four walls of a room to be painted

   Solution :

   Given ,

   • Length = 3cm
   • Breadth = 5cm
   • Height = 7cm

   So , room is like a cuboid then ,

   As we know that,

   • Lateral surface area of cuboid = 2h(l + b)

   where, l is length 3cm , b is breadth 5cm and h is height 7cm

   》 2h(l + b)

   》2 × 7 (3 + 5)

   》14(8)

   》112cm²

   Hence , Area of four walls of a room to be painted is 112cm²

   More Explanation:

   • Volume of cuboid = lbh
   • Total surface area of cuboid = 2(lb + bh + lh)
   • Perimeter of cuboid = 4(l + b + h)
   • where, l is length , b is breadth and h is height

   Reply

2. [tex] \huge{ \mathfrak{ \color{navy}{Question:- }}}[/tex]

   • The area of four walls of a room to be painted of sides 3cm, 5cm and 7cm is

   a) 142cm²

   b) 105cm²

   c) 112 cm²

   d) 30 cm2²

   [tex] \huge{ \color{green}{ \mathfrak{Given:-}}}[/tex]

   • Length =3 cm
   • Breadth = 5cm
   • Height = 7cm

   [tex] \huge{ \mathfrak{ \color{pink}{To \: find:-}}}[/tex]

   • The area of four walls of a room to be painted

   [tex] \huge{ \mathfrak{ \color{brown}{Answer:-}}}[/tex]

   • [tex] \large \sf \: 112m²[/tex]

   [tex] \huge{ \mathfrak{ \color{gold}{Step \: by \: step \: Solution:- }}}[/tex]

   [tex] \\ \: \: \: \: \: \: \: \: \: \: \implies \: \boxed{ \underline{ \sf{ \red{Area \: of \: four \: walls = 2h(l + b)}}}}[/tex]

   [tex] \\ \: \: \: \: \: \: \: \implies{ \boxed{ \sf 2 \times 7(3 + 5)}} {m}^{2} [/tex]

   [tex] \\ \: \: \: \: \: \: \: \red \longmapsto \: 14 \times 8 {m}^{2} [/tex]

   [tex] \\ \: \: \: \: \: \: \: \: \pink \longmapsto \: 112 {m}^{2} [/tex]

   [tex] \boxed{ \underline{ \sf{ \pink{Therefore \: the \: area \: of \: four \: walls \: of \: a \: room \: to \: be \: painted \: is \:{ \boxed{ \red{ \mathfrak{112m²}}}}}}}}[/tex]

   [tex] { \blue{━━━━━━━━━━━━━━━━━━━━━━━━━━━━━}}[/tex]

   Reply