Question

If a brick has length, breadth and height in the ratio 1:2:3 and the total surface area of the brick is 792 sq. m, then the volume of the brick is
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PLZ give it's full solñ​

Answer 1

$\huge \fbox \green{❤Answer:}$

Given:

$I:b:h = 1:2:3 \: Let \: the \: length \: be \: x$

Then:

$b = 2x$

$h = 3x \: as \: per$

$\sf \colorbox{lightgreen} {Solution:}$

$2(lb + bh + hl) =$

$7922(2 {x}^{2} + 6 {x}^{2} + 3 {x}^{2} ) = 792$

$⇒11 {x}^{2} = \frac{792}{2} ⇒ {x}^{2}$

$= \frac{396}{11} = 36⇒x = 6 \: m \: ,l = 6m$

$b = 2 \times 6 = 12m \: and \: h = 3 \times 6$

$= 18m$

$Hence \: Volume = lbh = 6 \times 12 \times 18$

$= 1296 {m}^{3}$

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btw good morning Bhabhi