Question

The YMCA lap pool is a right rectangular prism 36.8\, \text{m}36.8m36, point, 8, start text, m, end text long by 20 \,\text{m}20m20, start text, m, end text wide. The pool contains 1472 \text{ m}^31472 m 3 1472, start text, space, m, end text, cubed of water. How deep is the water in the pool

Answer 1

Volume is a three-dimensional scalar quantity. The depth of the YMCA lap pool is 2 meters.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given that the following details about the YMCA lap pool:

• The volume of the pool = 1472m³
• The length of the pool = 36.8m
• The width of the pool = 20 m

Since the pool is in the space of a right rectangular prism, therefore, the volume of the prism will be the product of length, width and depth. Therefore, the volume of the pool can be written as,

The volume of the pool = Length × width × depth

1472m³ = 36.8m × 20 m × depth of the pool

Depth of the pool = (1472m³ ) / (36.8m × 20m)

                              = 2 meter

Hence, the depth of the YMCA lap pool is 2 meters.

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