57.8k views
3 votes
A swimming pool holds exactly 184 cubic yards of water. Assuming that the depth of the pool is the same everywhere, what is the depth in meters if the pool is exactly 30.0 feet long and 20.0 feet wide

User Paleta
by
6.4k points

1 Answer

5 votes

Answer:

The depth of the swimming pool is 2.52 meters

Explanation:

To solve this problem properly, the first thing we are to do is to ensure that we are working in the same units at all points in time during the solution.

First of all, we will convert the length and breadth of the pool from feet to yards.

1 foot = 0.3333 yards

30 feet = 10 yards

20 feet = 6.67 yards.

The next step is to find the depth of the swimming pool using the volume and the available dimensions.

From the dimensions given, we can tell that the swimming pool will have a cuboidal shape. This means that the volume will be = length X breadth X depth.

hence we have

184 = 10 X 6.67 X depth

depth = 2.76 yards.

The final step will be to convert the answer we obtained in yards to meters.

1 yard = 0.9144metres

2.76 yards = 2.52 meters

The depth of the swimming pool is 2.52 meters

User G Gr
by
7.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.