Question

The lenght of a hall is 20m and width is 16m.The sum of the areas of the floor and the flat roof is equal to sum of the areas of the four walls.Find the height and volume of the hall.Pls help

Answer 1

Length of the hall=20m
Width of the hall=16m
According to the question:
areas of the floor and flat roof= areas of four walls
2(l×b)=2bh+2hl
2(20×16)=2×16×h+2×20×h
640¹=72h
H=8.8888m
Volume of the hall=L×B×H=20×16×8.88=2844.44 m³.