Question

A swimming pool is 200 m by 50 m and has an average depth of 2 m. By the end of a summer day, the water level drops by 2 cm.

How many cubic meters of water are lost in the swimming pool in a day?
A) 2 cubic meters
B) 4 cubic meters
C) 6 cubic meters
D) 8 cubic meters

Answer 1

A swimming pool that is 200 m by 50 m with an average depth of 2 m will lose 200 cubic meters of water in a day.

Step-by-step explanation:

The swimming pool has dimensions of 200 m by 50 m and an average depth of 2 m. To find the volume of the pool, we multiply the length, width, and depth. The volume is given by 200 m * 50 m * 2 m = 20,000 cubic meters.

The water level drops by 2 cm at the end of a summer day. We can convert this to meters by dividing by 100: 2 cm / 100 = 0.02 m.

To find the volume of water lost, we multiply the area of the pool (200 m * 50 m) by the drop in water level (0.02 m): 200 m * 50 m * 0.02 m = 200 cubic meters. Therefore, the swimming pool loses 200 cubic meters of water in a day.