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A wooden box who's value is 1300₹ is fine wood cost is 25₹/m . length of the box is 4m and breath is 3m find its height​

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CORRECT Question:-

@ A wooden box who's value is 1300₹ is fine wood cost is 25₹/m² . length of the box is 4m and BREATH is 3m FIND its height

❏ Solution:-

\setlength{\unitlength}{0.74 cm}\begin{picture}(12,4)\thicklines\put(5.6,5.6){$A$}\put(11.1,5.8){$B$}\put(11.08,8.9){$C$}\put(5.46,8.7){$D$}\put(3.55,10.15){$E$}\put(3.55,7.15){$F$}\put(9.14,10.235){$H$}\put(9.14,7.3){$G$}\put(3.3,6.3){$3\:m$}\put(7.75,6.<klux>2</klux>){$4\:m$}\put(11.1,7.5){$h\:m$}\put(6,6){\line(1,0){5}}\put(6,9){\line(1,0){5}}\put(11,9){\line(0,-1){3}}\put(6,6){\line(0,1){3}}\put(4,7.3){\line(1,0){5}}\put(4,10.3){\line(1,0){5}}\put(9,10.3){\line(0,-1){3}}\put(4,7.3){\line(0,1){3}}\put(6,6){\line(-3,2){2}}\put(6,9){\line(-3,2){2}}\put(11,9){\line(-3,2){2}}\put(11,6){\line(-3,2){2}}\end{picture}

Now , according to the question The wooden box is cost 1300 Rs at 25 Rs/m².

Therefore, Total Surface area of the wooden box is , = \dfrac{1300}{25}\:Rs = 52 m².

Now, we know that total surface area of a cuboid is ,

\sf\implies T.S.A.=2(lb+bh+hl)

where,

T.S.A.=Total Surface area .

l = length,

b= breadth,

h = height,

Hence,

\sf\implies 52=2(4\times3+3\times h+h\times4)

\sf\implies \dfrac{\cancel{52}}{\cancel2}=12+3 h+4h

\sf\implies 26-12=3 h+4h

\sf\implies 14=7h

\sf\implies \dfrac{\cancel{14}}{\cancel7}=h

\sf\implies \boxed{\large{\red{h=2\:m}}}

Hence , Height of the Wooden Box was 2 METRE.



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