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find the height of a a cuboid if it's length is 10m , breadth is 5m and LSA is 180m² .

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[tex]\huge\sf\underline{Answer}[/tex]

Let's find out ~

Given :-

  • Length ( l ) = 10m
  • Breadth ( b ) = 5m
  • LSA = 180m²

Solution :-

[tex]\sf\rightarrow \:LSA \: of \: cuboid \: = 2h \: ( \: l + b \: )[/tex]

[tex]\sf\rightarrow \: 180 = 2h \: (10 + 5)[/tex]

[tex]\sf\rightarrow180 = 2h \: \times 15[/tex]

[tex]\sf\rightarrow 180 = 30h \: [/tex]

[tex]\sf\rightarrow \: 30h \: = 180[/tex]

[tex]\sf\rightarrow \: h = \frac{180}{30} [/tex]

[tex]\sf\rightarrow \: 6[/tex]

Thus , the height of cuboid is 6m

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