Question

एक कमरे के फर्श तथा छत के क्षेत्रफल का योग उसके चारो दीवारों के क्षेत्रफल के योग के बराबर है। यदि वह हॉल 40 मीटर लंबा तथा 32 मीटर चौड़ा हो तो उसका आयतन कितना होगा?
(i) 23855.5
(ii) 22775.5
(iii) 22755.5
(iv) 29755.5

Answer 1

heya !!


here is your answer⤵️⤵️


option A is the answer.


hope my answer helps you

Answer 2

$\huge\boxed{\texttt{\fcolorbox{Red}{aqua}{Hey Mate!!!}}}$
Length = 40m
Breadth = 32 m
Let Height = h m

Now Area of Floor and Roof = 2(l x b)
$= 2(40 \times 32) \\ = 2 \times 1280 \\ = 2560 \: m {}^{2}$
Area of four sides = 2(l X + b x h)
$= 2(40 \times h + 32 \times h) \\ = 2 \times h(40 + 32) \\ = 2 \times h \times 72 \\ = 144 \times h \: m {}^{2}$
ATQ
$144 \times h = 2560 \\ h = \frac{2560}{144} \: m$
Now Volume of the room is= l xb x h
$= 40 \times 32 \times \frac{2560}{144} \\ = 22755.5 \: m {}^{3}$
So (iii) 22755.5 is the correct answer

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