Question

An empty swimming pool is shaped like a rectangular prism with dimensions: length = 10 m, width = 6 m, and depth = 3 m. If water is pumped in at a rate of 18 m³ per hour, how many hours does it take to fill the pool?

A) 5
B) 10
C) 15
D) 20

Answer 1

To calculate the time to fill a swimming pool, divide the pool's volume (180 m³) by the flow rate (18 m³/hour), resulting in 10 hours to fill the pool.

Step-by-step explanation:

The question involves finding out how long it would take to fill a swimming pool with water based on given dimensions and flow rate. First, we calculate the volume of the pool: Volume = length × width × depth = 10 m × 6 m × 3 m = 180 m³. The water is being pumped in at a rate of 18 m³ per hour. To find the number of hours it takes to fill the pool, we divide the total volume of the pool by the flow rate:

Time = Volume / Flow rate = 180 m³ / 18 m³/hour = 10 hours.

Therefore, it takes 10 hours to fill the pool, which corresponds to option B.