Question

A room 6m by 4.5 m contains 108m3 of air. Find the height of the room.

Answer 1

Answer:

Given :

Length of room = 6m.

Breadth of room = 4.5 m

Solution :

Let the height of the room be h m.

Volume of air = 108 m³

⇒ lbh = 108

⇒ 6 × 4.5 × h = 108

⇒ 27 h = 108

⇒ h = \frac{108}{27}

⇒ h = 4 m.

∴ height of the room = 4 m.

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Answer 2

Total Volume → 108 m³

Length → 6 m

Breadth → 4.5 m

We know,

L × B × H = V

6 × 4.5 × H = 108

H =

$\frac{108}{27}$

H = 4 m.