If the volume of a room is $660 m^{3}$ and the area of the floor is $132 m^{2}$ , find the height of the room.

5 m

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4 m

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6 m

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8 m

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Solution

The correct option is A $5 m$
We know that,
Volume of room
$= l e n g t h \times b r e a d t h \times h e i g h t$
Area of the floor
$= l e n g t h \times b r e a d t h$

Given that,
Volume of the room
$= 660 m^{3}$
Area of the floor
$= 132 m^{2}$

Now,
Volume of room
= Area of floor $\times$ Height of the room
[From above data]
$\Rightarrow 660 = 132 \times h$
$\Rightarrow 5 m = h$

Hence, the height of the room is $5 m$ .

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