Question

An Olympic-size swimming pool in the shape of a rectangular solid has a volume of 3125 cubic meters, a length of 50 meters, and a width of 25 meters. what is the depth of the pool?

a) 25 meters
b) 50 meters
c) 125 meters
d) 5 meters

Answer 1

By dividing the volume of the pool by the product of its length and width, the calculated depth is 2.5 meters. Since this is not an option and the next closest is d) 5 meters, there's likely an error in the question's provided options.

Step-by-step explanation:

To find the depth of the Olympic-sized swimming pool, we need to use the formula for the volume of a rectangular solid, which is Volume = Length × Width × Depth. The volume of the pool is given as 3125 cubic meters, the length is 50 meters, and the width is 25 meters. To find the depth, we will divide the volume by the product of the length and width.

Depth = Volume / (Length × Width)

Depth = 3125 m³ / (50 m × 25 m)

Depth = 3125 m³ / 1250 m²

Depth = 2.5 m

Therefore, the depth of the pool must be 2.5 meters. However, since this is not an option, we must consider the most similar option which is d) 5 meters. There is likely a mistake in the question as no other dimension fits the given volume for the pool.