Question

The length of a wall is 20m and width 12m. The sum of the areas of the floor and the roof is
equal to the areas of the four walls. Find the height and volume of the wall.​

Answer 1

Answer:

h = 7.5 m

volume of room = 1800 cubic meters

Step-by-step explanation:

The sum of the areas of the floor and the roof = areas of the four walls.

2lb = 2h(l+b)

h= lb/(l+b) = 7.5 m

volume of room =lbh = 1800 cubic meters

Answer 2

Given that:

length,l = 20m

breath,b = 12m

According to question:

$2(l \times b) = 2(l + b)h$

$2(20 \times 12) = 2(20 + 12)h$

$480 = 64h$

$h = 7.5m$

Now, Volume of wall =

lbh= 20×12×7.5

= 1800 m³