Question

Find the volume of a room , if it's lateral surface area is 84sqm, height is 6m and the length is 1m more than the breadth

Answer 1

Hey mate your answer is
$84 { m}^{2} = 2(l + b) \times h \\ = 2(x + 1 + x) \times 6 \\ 2(2x + 1) \times 6 \\ 4x + 2 \times 6 \\ 84 = 4 x + 12 \\ 84 - 12 = 4x \\ 72 = 4x \\ x = 18$
now length= 5 and breadth = 4
now volume = l×b×h
5×4×6= 120cm3

So this helps you
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Answer 2

Answer:

Step-by-step explanation:

L.S.A =2h(l+b)

84= 2*6*(b+1+b)

84=24b+12

84-12=24b

72=24b

72/24=b

b=3m

l=3+1=4m

Volume =lbh

=4*3*6

=72m^3