The sports hall has the shape of a rectangular parallelepiped. Its length is 80 m, the width is 7/10

The sports hall has the shape of a rectangular parallelepiped. Its length is 80 m, the width is 7/10 of the length, and the height is 20% of the width. What is the floor area of the hall? How many cubic meters of air is in the hall?

First, let’s calculate the width of the gym. It is known that it is 7/10 of the length of the hall, which is 80 m.

b = 80 m * 7/10 = 56 m.

Now let’s calculate the floor area of the gym. Let’s multiply the length of the hall by its width.

S – 80 m * 56 m = 4480 m².

Calculate the height of the hall. It is 20% of the hall width.

h = 56 m ÷ 100% * 20% = 11.2 m.

Now let’s calculate the volume of air in the hall. We multiply the length by the width and by the height.

V = 80 m * 56 m * 11.2 m = 50176 m³.

Answer: the area of the hall is 4480 m², the air volume in the hall is 50176 m³.