Question

Find the volume of #5

Answer 1

the volume is 917.7 cubic meters

Explanation:

Hello, I can help you with this

Because the thickness of the figure is constant we can calculate the volume by multiplying the area times the thickness, that is the area of ​​the trapezoid multiplied by the thickness

`Volume=Area\ of\ trapezoid\ * thickness\\`

Step 1

Remember

`Area\ of\ trapezoid = (a+b)/(2)* heigth\\`

where

a is the bigger base

b is the smaller base

Let

a= 7 m

b=16 m

heigth =13.3

`Area\ of\ trapezoid = (a+b)/(2)* heigth\\\\Area\ of\ trapezoid = (16+7)/(2)* 13.3\\\\Area\ of\ trapezoid =(23)/(2)* 13.3\\Area\ of\ trapezoid=152.95`

so the area of the trapezoid is 152.95 square meters

Step 2

find the volume

`Volume=Area\ of\ trapezoid\ * thickness\\\\Volume=152.95\ m^(2) * 6\ m\\\\Volume=917.7\ m^(3)`

so, the volume is 917.7 cubic meters

Have a good day