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How many children will a school hall of dimensions 20 m, 9.5 m and 8 m high accommodate, assuming $2.5 m^{3}$ of air required for each child?

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412

608

812

1208

answer is B.

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Detailed Solution

The formula below calculates the volume of a cuboid with the dimensions l, b, and h.
Volume of cuboid

= l \times b \times h cubic unit

Given,
The volume of the school hall, which has dimensions of 20 metres, 9.5 metres, and 8 metres,
Volume of school hall

= l \times b \times h cubic unit

V = 20 \times 9.5 \times 8

V = 1520 m^{3}

Since we only have the 2.5 m3 of air that each youngster needs,
Number of children in

1 m^{3}

of air

= \frac{1}{2.5}

Therefore,
Number of children in

1520 m^{3}

of air

= 1520 \times \frac{1}{2.5}

= 608

Thus, the number of children = 608
So, the correct option is 2.

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