Question

a school hall is to be built to accomadate 150 students allowing 2.5 square meters of floor area and 20 cubic metres of air for each student.If the hall is 15 meters wide,find its length and height

Answer 1

Answer:

length = 25 m and height = 8 m

Step-by-step explanation:

air for 1 student = 20 m³

so air for 150 students = 150 x 20 = 3000 m³

so total volume for the school = 3000 m³

floor area for 1 student = 2.5 m²

so floor area for 150 students = 150 x 2.5 = 375 m²

so total floor area of the school = 375 m²

so length x width = 375

length = 375 / width = 375 / 15 = 25 m

volume = length x width x height

so 25 x 15 x height = 3000

=> height = 3000 / ( 25 x 15 )

= 3000 / 375 = 8

so length = 25 m and height = 8 m