Question

A rectangular prism kiddie pool is 7 feet wide, 6 feet long, and 10 feet tall. When the day started the pool was completely full of water. After 3 hours, the water level had decreased by 1.5 feet. What would be the volume of water in the kiddie pool after 3 hours. Which dimension would relate to water level?

Answer 1

The volume of water in the kiddie pool after 3 hours will be 357 cubic feet (ft³)

Height is the dimension that would relate to water level.

Explanation:

The volume of a rectangular prism can be calculated using the formula

`V = lwh`

`V` is the volume

`l` is the length

`w` is the width

and
`h` is the height

From the question,

When the day started the pool was completely full of water, that is, the volume of water in the pool will be the capacity of the rectangular prism kiddie pool.

From the question,

`l` = 6 feet

`w` = 7 feet

`h` = 10 feet

Hence,

`V = 6 feet * 7 feet * 10 feet`

`V = 420 cubic feet (ft^(3) )`

This is the volume of the water in the pool when the day started.

Also, from the question

After 3 hours, the water level had decreased by 1.5 feet, that is the height had decreased by 1.5 feet

Then, the new height is

10 feet - 1.5 feet = 8.5 feet

h = 8.5 feet

Now, to determine the volume after 3 hours

`V = 6 feet * 7 feet * 8.5 feet`

`V = 357 cubic feet (ft^(3) )`

Hence, the volume of water in the kiddie pool after 3 hours will be 357 cubic feet (ft³)

The dimension that would relate to water level will be the height.