Question

A museum room is to accommodate 80 persons. It should be done in such a way that every person gets 3.3 m² of floor and 8.8 m³ of space. If the length of the room is 13 m, then find breadth (in m) and the height (in m) of the room are respectively (approximately). 

1. 21, 3.55
2. 20.30, 2.66
3. 22, 3.91
4. 23, 4.5

Answer 1

Correct Answer - Option 2 : 20.30, 2.66

Given:

A museum room is to accommodate 80 persons.

It should be done in such a way that every person gets 3.3 m² of floor and 8.8 m³ of space.

The length of the room is 13 m

Formula used:

Area = Length × Breadth

Volume = Length × Breadth × Height

Calculation:

Let the breadth and height of the room be B & H respectively.

Then,

13 × B = 80 × 3.3

⇒ B = 20.30 (approx)

Now, total volume of the room is equal to total persons multiplied by volume occupied by one person

So,

13 × 20.3 × H = 8.8 × 80

⇒ H = 2.66 (approx)

∴ Breadth and width are 20.30 m and 2.66 m.