Math, asked by Anonymous, 8 months ago

\green{Please}\pink{Answer }\green{The}\pink{Question}

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Answered by mahadevathani2003
2

Answer:

gave any other questions

AB289

nivu kannadigara

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Answered by vikram991
62

Given,

  • The Length of a 10cm high cuboid exceeds its breadth by 4 cm.
  • If Volume of the Cuboid is 2210 cm³.

To Find,

  • Length of Cuboid

Solution :

\longmapsto Suppose the Breadth of Cuboid be a

Therefore, Length will be a + 4 And Height already given - 10 cm

\bigstar \underline{\pink{\tt{According\:to\:the\:Question :}}}

\longrightarrow \boxed{\sf{Volume\:of\:Cuboid = Length \times Breadth \times Height}}

\longrightarrow \sf{2210 = (a + 4) \times a \times 10}

\longrightarrow \sf{\dfrac{2210}{10} = a^{2} + 4a}

\longrightarrow \sf{221 = a^{2} + 4a}

\longrightarrow \sf{a^{2} + 4a - 221  = 0}

\longrightarrow \sf{a^{2} + 17a -13a - 221 = 0}

(Spillitary Method Use)

\longrightarrow \sf{a(a + 17) -13(a + 17) = 0}

\longrightarrow \sf{(a - 13) (a + 17) = 0}

\longrightarrow \sf{a = 13\:or\:a = -17}

║Breadth can't be Negative so a ≠ -17║

Therefore,

\bigstar \boxed{\green{\tt{Breadth\:of\:Cuboid = a = 13\:cm}}}

\bigstar \boxed{\green{\mathfrak{Length\:of\:Rectangle = a + 4 = 13+4 = 17\:cm}}}

\rule{200}2

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