Question

The length of a cinema hall is 20m and its width is 16m. The sum of the areas of its floor and flat roof is equal to the surface arera of its four walls.Find the volume and height of the hall

Answer 1

$hi$
here .....
$l = 20m$
$b = 16m$

Sum of the areas of floor and roof
= surface area of four walls

$lb + lb = 2h(l + b)$

$2lb = 2h(l + b)$

$lb = h(l + b)$

$(20)(16) = h(20 + 16)$

$320 = 36h$

$h = \frac{320}{36}$

$h = 8.89m$

Volume of hall (cuboid) :

$volume = l \times b \times h$

$= 20 \times 16 \times 8.89$

$= 2844.80 {m}^{3}$
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Final Answer :
The height of the hall is 8.89m.
The volume of the hall is 2844.80 cu.m.
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$hope \: this \: helps.....$