The area of the four walls of a room is 300m^2. Its length and height are 15 m and 6 m respectively. find its breadth​

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1. [tex]\begin{gathered}\begin{gathered}\bf\: Given-\begin{cases} &\sf{Area_{(4 walls)} = 300 \: {m}^{2} } \\ &\sf{Length, \: l \: = 15 \: m}\\ &\sf{Height, \: h \: = 6 \: m} \end{cases}\end{gathered}\end{gathered}[/tex]

   [tex]\begin{gathered}\begin{gathered}\bf \: To \: Find – \begin{cases} &\sf{Breadth, \: b}\end{cases}\end{gathered}\end{gathered}[/tex]

   [tex]\begin{gathered}\Large{\bold{{\underline{Formula \: Used – }}}} \end{gathered}[/tex]

   [tex] \boxed{ \red{ \sf \:Area_{(4 walls)} = 2(l + b) \times h}}[/tex]

   where,

   • l = Length

   • b = Breadth

   • h = Height

   [tex]\large\underline{\sf{Solution-}}[/tex]

   ↝ Given that

   • Length = 15 m

   • Height = 6 m

   • Area of 4 walls = 300 square meter.

   ↝ We know that,

   [tex]\rm :\longmapsto\:Area_{(4 walls)} = 2(Length + Breadth) \times Height[/tex]

   ↝ On substituting the values, we get

   [tex]\rm :\longmapsto\:300 = 2(15 + b) \times 6[/tex]

   [tex]\rm :\longmapsto\:25 = 15 + b[/tex]

   [tex]\rm :\longmapsto\:b = 10 \: m[/tex]

   [tex]\bf\implies \:Breadth, \: b \: = \: 10 \: m[/tex]

   Additional Information :-

   ↝ Cube:

   • A cube has six faces, eight vertices and twelve edges. All the faces of the cube are in square shape and are of equal length.

   ↝ Cuboid:

   • A cuboid has six faces, eight vertices and twelve edges. The faces of the cuboid are parallel. But not all the faces of a cuboid are equal in length.

   ↝ Formula’s of Cube :-

   • Total Surface Area = 6(side)²

   • Curved Surface Area = 4(side)²

   • Volume of Cube = (side)³

   • Diagonal of a cube = √3(side)

   • Perimeter of cube = 12 x side

   ↝ Formula’s of Cuboid

   • Total Surface area = 2 (Length x Breadth + breadth x height + Length x height)

   • Curved Surface area = 2 height(length + breadth)

   • Volume of the cuboid = (length × breadth × height)

   • Diagonal of the cuboid =√(l² + b² + h²)

   • Perimeter of cuboid = 4 (length + breadth + height)

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