Question

the length of a hall is 22m and width is 18m the sum of the areas of the floor and the flat roof is equal to the sum of the area of the four walls. find the height and volume of the hall.

Answer 1

Let height be x meter

Area of the floor= l×b = 22×18= 396 sqm
Area of the flat roof = l×b =396 sqm
Sum of Area of the four walls= 22x+ 22x+ 18x+18x= 80xsqm
Given sum of the area of floor and area of flat roof = sum of the four walls

80x = 396+396
80x=792
X=9.9

Height= 9.9m

Volume=l×b×h
=22×18×9.9
=3920.4 cubic meters

Answer 2

Answer:

Step-by-step explanation:

Let height be x meter

Area of the floor= l×b = 22×18= 396 sqm

Area of the flat roof = l×b =396 sqm

Sum of Area of the four walls= 22x+ 22x+ 18x+18x= 80xsqm

Given sum of the area of floor and area of flat roof = sum of the four walls

80x = 396+396

80x=792

X=9.9

Height= 9.9m

Volume=l×b×h

=22×18×9.9

=3920.4 cubic meters