Question

some of the dimensions, in meters, of a different swimming pool that is a rectangular from the top and trapezoidal from the side are shown. what is the volume, in cubic meters, if the water in the pool when it is completely full?

Answer 1

`4,151.25\ m^(3)`

Explanation:

we know that

The volume of the trapezoidal prism (swimming pool) is equal to

`V=BL`

where

B is the area of the trapezoidal base

L is the length (distance between the two trapezoidal faces)

Find the area B

`B=(1)/(2)(4+8)(30.75)=184.5\ m^(2)`

`L=22.5\ m`

Find the volume

`V=184.5(22.5)=4,151.25\ m^(3)`