Question

The dimensions of a cinema hall are 45 m by 35 m by 25 m .Find how many people can be accommodated to watch a movie, assuming each person require an area of 0.9 sq.m​

Answer 1

Answer:

question is wrong you can't fill people in air

Answer 2

The number of people accommodated 7944 people .

Step-by-step explanation:

Given as :

The dimensions of a cinema hall are 45 m by 35 m by 25 m

The length of hall = l = 45 meters

The breadth of hall = b = 35 meters

The height of hall = h = 25 meters

The Area require by each people = A = 0.9 sq meter

Let The number of people accommodated = n people

According to question

∵ The dimensions of a cinema hall are 45 m by 35 m by 25 m

So, Total surface area of hall = 2 ( Length × breadth + breadth × height + height × length )

Or, TSA = 2 ( l × b + b × h + h × l )

Or, TSA = 2 ( 45 m × 35 cm + 35 cm × 25 m + 25 m × 45 m )

Or, TSA = 2 ( 1575 m²  + 875 m² + 1125 m² )

∴    TSA = 2 × 3575 m²

i.e TSA = 7150 m²

So, The total surface area of hall = TSA =  7150 m²

Again

Area require by each people = A = 0.9 sq meter

So, Number of people = $\dfrac{Total surface area of hall}{Area required by each people}$

Or,   n = $\dfrac{TSA}{A}$

Or,  n = $\dfrac{7150}{0.9}$

∴    n = 7944.4 ≈ 7944

So, The number of people accommodated = n = 7944 people

Hence, The number of people accommodated 7944 people . Answer